MCQS Precalculus

1) A medical clinic in a small city in the state of Washington wants to estimate the mean serum cholesterol level (measured in mg of cholesterol per 100 mL of blood) of teenage males. Based on the following summary data taken from a random sample of 10 teenage males from this community, compute a 90% confidence interval for the mean serum cholesterol level of teenage males in this city. Assume that the sample was taken from a normal distribution. Round your confidence limits to 2 decimal places.
Summary Data: n = 10, , s = 24.920
Choose one answer.
A. (207.15, 240.67)
B. (209.12, 238.01)
C. (210.12, 239.56)
D. (213.34, 242.83)
E. None of the above
2) Questions on a statistics exam are considered good questions provided the questions discriminate between students who have studied for the exam and those who have not studied. Suppose that on a particular statistics exam the students were separated into two groups, the group that studied and the other group that had not studied. Data was collected and a 95% confidence interval for the difference in the proportion of those passing the exam from the group that studied and the proportion of those passing the exam from the group that had not studied. The confidence interval turned out to be . Note that sample 1 is from the group that studied and sample 2 is from the group that did not study. Select the best answer.
Choose one answer.
A. The data fails to show with 95% confidence that these questions discriminated between those who studied and those who did not study.
B. We are 95% confident that those who studied had a higher passing rate than those who did not study.
C. We are 95% confident that those who studied had a lower passing rate than those who did not study.
D. None of the these are correct. 

The time required for a citizen to complete the 2000 U.S.

Question 1
The time required for a citizen to complete the 2000 U.S. Census “long” form is normally distributed with a mean of 40 minutes and a standard deviation of 10 minutes. What proportion of the citizens will require less than one hour?

Question 2
If the random variable Z has a standard normal distribution, then P(Z ≤ -1.37) is

Question 3
Bob’s z-score for the last exam was 1.52 in Prof. Axolotl’s class BIO 417 “Life Cycle of the Ornithorhynchus”. Bob said, “Oh, good, I’m in the top 10%.” Is he right?

Question 4
If arrivals occur at a mean rate of 1.6 events per minute, the exponential probability of waiting less than 1 minute for the next arrival is

Question 5
The lengths of brook trout caught in a certain Colorado stream have a mean of 14 inches and a standard deviation of 3 inches. The first quartile for the lengths of brook trout would be

Question 6
Assume that X is normally distributed with a mean μ= $64. Given that P(X ≥$75) = 0.2981, we can calculate that the standard deviation of X is approximately

Question 7
If arrivals follow a Poisson distribution with mean 1.2 arrivals per minute, find the 75th percentile of waiting times (i.e., 75 percent below).

Question 8
The MPG (miles per gallon) for a certain compact car is normally distributed with a mean of 31 and a standard deviation of 0.8. What is the probability that the MPG for a randomly selected compact car would be less than 32?

Question 9
A letter is mailed to a sample of 500 homeowners. Based on past experience, the probability of an undeliverable letter is 0.06. The normal approximation to the probability of 40 or more undeliverable letters is

Which model best describes your waiting time until you get the next non-working web URL (“This page cannot be displayed”) as you click on web sites for Florida condo rentals?

 

Joyal 20 тонн в час небольшая дробилка, весьма приветствуется клиентами Африка

20 тонн в час производительности дробилки машины –тальк щековая дробилка широко используется для дробления различных материалов, таких как камень, гранит, ловушки рок, кокса, угля, марганцевой руды, железной руды, наждак, плавленого алюминия, оксид, плавленого карбида кальция, известняк, кварцит сплавы, и т.д.

фарфоровые мобильные щековая дробилка челюсти ведущих консультантов рекомендуется в этой области и используются сотни клиентов по всему миру.

20ton конус дробилки машины -щековая дробилка Особенности:

Это различных типов.

Она подходит для дробления максимум, средние и минимальные камни.

Принцип работы легко эксплуатироваться.

Структура проста и легко обслуживания.

Пирофиллит дробилка комплексная дробилка щековая дробилка, калийные полевой шпат молоток дробилка, роторная дробилка, улитки и другие преимущества фокусировки на разрыв одного из щебня машин, камень прямо в перерыве, автоматическая подача, непосредственно на боковую 450-1200 мм материал, разбиты в порошок с размером 80 мм руды, сократить без блокировки не-карты также могут быть использованы в качестве вторичного дробилки, продукт используется в основном для добычи, цемента, строительных материалов, химической и других отраслях промышленности. Это не превышает 200 МПа прочность на сжатие известняка, рок, гипса, угля и других материалов, сломанный, разбитый камень должен иметь устройство.

Автоматическая линия сборки, провинциальные люди сохранения, энергоэффективные

Пирофиллит дробилка комбо выключатель, вы можете установить традиционных двух сломана нарушается, идеально подходит для обработки известняка гравий оборудования.

Пирофиллитовую дробилки основные преимущества:

1. Большое отверстие корма, высокая камеры дробления для удовлетворения твердость материала, блок степень, порошковый продукт меньше.

2. вакантной пирофиллитовый материал дробилки, дробление энергопотребление.

3. пирофиллитовый новый молотковая дробилка, ударная сила.

4. пирофиллитовые разрушения горных пород машина молоток вал регулируется молоток и долгих лет жизни.

5. размер сетки регулируется, регулируемым размером частиц, форма частиц является хорошим.

6. пирофиллитовый флип дробилка шасси, ремонт и удобнее.

7. боковая рукоятка болта, ударопрочность, стойкость к истиранию.

8. пирофиллитовый компактный измельчитель, жесткость машины.

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46576769joyal50

comment kimberly

 

  I NEED A POSITIVE COMMENT BASED IN THIS ARGUMENT..BETWEEN 150-200 WORDS

 

A level of significance is a value that we set to determine statistical significance. This is ends up being the standard by which we measure the calculated  p-value of our test statistic. To say that a result is statistically significant at the level alpha just means that the p-value is less than alpha.

For instance, for a value of alpha = 0.05, if the p-value is greater than 0.05, then we fail to reject the null hypothesis.

There are some instances in which we would need a very small  p-value to reject a null hypothesis. If our null hypothesis concerns something that is widely accepted as true, then there must be a high degree of evidence in favor of rejecting the null hypothesis. This is provided by a p-value that is much smaller than the commonly used values for alpha.

Alpha is the term used to express the level of significance we will accept. For 95% confidence, alpha=0.05. For 99% confidence, alpha=0.01. These two alpha values are the ones most frequently used. If our P-value, the high unlikeliness of the H 0, is less than alpha, we can reject the null hypothesis. Alpha and beta usually cannot both be minimized—there is a trade-off between the two. Ideally, of course, we would minimize both. Historically, a fixed level of significance was selected (alpha=0.05 for the social sciences and alpha=0.01 or alpha=0.001 for the natural sciences, for instance). This was because the null hypothesis was considered the “current theory” and the size of Type I errors was much more important than that of Type II errors. Now both are usually considered together when determining an adequately sized sample. Instead of testing against a fixed level of alpha, now the P-value is often reported. Obviously, the smaller the P-value, the stronger the evidence (higher significance, smaller alpha) provided by the data is against H 0.

Example:  We took 10 samples of 20 pennies set on edge and the table banged. The resultant mean of heads was 14.5 with a standard deviation of 2.12. Since this is a small sample, and the population variance is unknown, after we calculate a t value and obtain t=6.71=(14.5-10)/(2.12/ (10)), we apply the t-test and find a P-value of either 8.73×10-5 or 4.36×10-5depending on whether we do a one-tailed or two-tailed test. In either case our results are statistically significant at the 0.0001 level.

Reference:

Calkins, Keith G. 2005. Applied Statistics Hypothesis Testing.  Retrieved from https://www.andrews.edu/~calkins/math/edrm611/edrm08.htm

 

 

 

                                

 

 

statitistics homework

Module 6 Homework Assignment

1.  Determine whether the samples are independent or dependent.

The effectiveness of a new headache medicine is tested by measuring the amount of time before the headache is cured for patients who use the medicine and another group of patients who use a placebo drug. Please explain your decision.

Solution:

 

Instructor Comments:


2. 
Determine whether the samples are independent or dependent.

The effectiveness of a headache medicine is tested by measuring the intensity of a headache in patients before and after drug treatment. The data consist of before and after intensities for each patient.

Please explain your decision.

Solution:

 

 

 

Instructor Comments:

 

3.  In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Test the claim that the proportion of smokers in the two age groups is the same. Use a significance level of 0.01. (Show all steps of the hypothesis test and all calculations) 

 

Solution:

 

 

 

Instructor Comments:

 

4.  A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. The sample data is shown below, where μ1 represents the mean blood pressure of the treatment group and μ2 represents the mean for the control group. Use a significance level of 0.01 and whichever method you deem appropriate (p-value method, critical value method, or confidence interval method) to test the claim that the diet reduces the blood pressure. We do not know the values of the population standard deviations. Use Microsoft Excel or the following t-distribution table: http://www.itl.nist.gov/div898/handbook/eda/section3/eda3672.htm  

 

Treatment Group

Control Group

n1

85

n2

75

 

189.1

 

203.7

s1

38.7

s2

39.2

 

 

 

 

 

Solution:

 

 

Instructor Comments:

Free answer

 

 

 

 

 

 

 

 

SAMPLING

NAME:

INSTITUTION:

DATE:

 

 

 

 

 

It is evidence that was basing our argument on the analysis above; it is clear that several conclusions and observation can be met. The analysis gives us the importance of sampling and how it can be applied in real life. Through sampling, one can tend to understand the behavior and characteristic of an individual population without necessarily interviewing the entire population.

I found my own personal sample of 30 players by starting at the player named in the email that accompanied this assignment. Start counting with the next person on the list, and take every third person on the list until I get 30 people. The data can be found in the spreadsheet “Sample Data”.

            Using Excel, we found the following five-number summary for the data “Weight”.  The calculations were made in Excel.       

Min

Q1

Median

Q3

Max

175

196.25

217.50

238.75

300

 

            We draw a box whisker plot of the sample data as follows:

 

 

 

 

            Using Excel, we calculated that the sample mean was 220.6 pounds, and the sample standard deviation was 33.84 pounds.  We used the sample mean of 220.6 pounds and sample standard deviation of 33.84 pounds to get an Empirical Rule graph as follows:

               The maximum and the minimum values which were 175 and 300 respectively. Through the evaluation of data, we were able to obtain the median value as 217.50. The values were used to come up with a perfect and modern football field that can fit a game. This proofs that sampling can be used to code a game that can be utilized in a current phone or a computer hence making it one of the most significant aspect of programming.       
            The data was used to plot box-whisker, and it turned to be a perfect shape of the football field. The box-whisker was plotted using minimum and maximum values. The plot also demonstrated the upper and the lower quartile. The sampling is one of the most vital aspects of probability and statistic, hence gives the mean of the data. Sampling also helps in coming up with meaningful information.      
 

 

            As the population has a mean of 214.6 pounds with a population standard deviation of 42.2 pounds, the sample data has a mean of 220.60 pounds with a standard deviation of 33.84 pounds, which is very close to the population parameters. Thus, we would say that the sample statistics fairly represent the population parameters.

            The above box whisker plot shows the data is skewed to right, so looks differently than the Empirical Rule graph. So, the data does not follow the Empirical Rule.

The sample standard deviation and the sample mean were used to construct empirical rule graph. The figure aids in getting the skewness of the data being analyzed. In the test distribution of normality, the empirical graph can also be used. The size of the deviations is calculated in the form of standard deviation and equated to the expected frequency. The normal skewed figure was applied in this case of analysis hence the data follow the empirical rule and can be used in the additional study.       
                Finally, it can be concluded that sampling has turned to be one of the most important aspects of the data analysis. It is clear that from the above analysis, sampling can be used to represent the entire population. When taking samples, one should be very careful so as to make the only correct data to avoid wrong analysis that leads to erroneous in conclusion.

 

 

answer

            

Name:

Tutor:

Course:

Date:

                              Around the world in eighty days

Introduction

                During the beginning of the 19th century, many literary works brought a great impact on the life of the people through their depiction of what was happening in the society at the time. One such work was the novel, ‘Around the world in eighty days’ by Jules Verne. The book depicts the events that were happening such as technological advancements and European civilization. This paper examines the how the novel portrayed critical events that happening in the 19th century Europe.

                The novel narrates the story of Mr. Phileas Fogg, a rich British man who embarks on a journey to move around the world in eighty days after being promised to get a lot of money from the Reform Club (Verne, 3). Mr. Phileas together with his new butler, Mr. Jean Passepartourt faces a lot of tribulations on their way including being robbed at the bank and also being mistaken as criminals by Mr. Fix, the Scotland Yard detective. The novel, therefore, continues to narrate the critical events that were taking place as Mr. Fogg continued with his journey around the world. The book has extensively tackled the issue of technological advancement that was being witnessed at the time. It was during the industrial revolution.

Mr. Fogg realizes that a new railroad has been opened. Hence, one can be possible travel around the world in eighty days. Europe was experiencing technological advancement due to the discovery of the coal and steam powered locomotives.

                The railroads opened the interior parts of the nation that were previously inaccessible. The advancement in technology also led to the building of manufacturing companies in different regions. The industries, therefore, offered employment opportunities to the people.

                The novel was written when the European civilization was expanding. Mr. Fogg boards a steamboat from New York to France (Verne, 12). The technological expansion that was being experienced had made it possible for the building of steamboats that could cross from New York to the European nations. Fogg being rich and powerful, he is cable of bribing the crew so that they can sail to France in his route to moving around the world in eighty days. This shows how the influence of the European civilization was spreading fast to other nations. Some of the major reasons that enabled Europe to extend its influence were the availability of resources. Europe had skilled manpower that participated in the building of steam engines that could drive locomotives and steam boats.

               According to the book, the places that Mr. Fogg passed on his journey, he could see how industrial revolution was expanding. Finished products that had been manufactured in European nations were being transported to other countries through railroad and steamboats. This also led to the circulation of skilled labor and therefore resulting in the creation of job opportunities in the most European nations.

               This is because diversities such as gender lead to the acquisition of different ideas decisions and expertise that are vital for expansion of civilization. For example, in most media establishments, gender plays a critical role during recruitment. This is because both the male and female gender creates a blend that can deliver the content that the media audience needs. Moreover, communications skills of women are required in the media. Hence, there is a need to consider gender in such companies. Cultural diversity is also important for a company. The presence of people of different cultures will result in the presence of different skilled manpower for the company. The company can, therefore, use the various unique skills to improve its operations thus boost the economic growth of a country.

 

                  However, there are instances where diversity can hinder the economy. For instance, diversity can lead to poor decision making since every individual of different social beliefs or culture will advocate for its ideas to be implemented in the company thus causing confusion and hinder the growth of a county.

                  Diversity has a great impact on economic growth. The presence of diversity in a business organization can boost economic growth due to the availability of different skills and expertise as well as enhance innovation and productivity.

                 Through the story of Mr. Fogg, the readers can learn the nature of the European economy and how it was able to influence other nations. The country embraced diversity has the advantage of pooling unique skills from people of different cultural backgrounds, sexual orientations, gender and different language. Through diversity and presence of skilled labor, Europe was able to me a dominant player in the market. The railroads were expanded as well as sea transport. This led to the expansion of areas that was experiencing underdevelopment due to the shortage of natural resources and skilled labor. Europe greatly influenced trading activities in the United States of America through the transpiration of finished products through railway and water.

                 In summary, the novel, ‘Around the world in 80 days’ clearly analyzes critical issues in Europe in the 19th Century.  Various advancements such as technological and industrial advancements had brought a great impact leading to economic growth. The transport and communication networks in Europe had enabled the nations to undertake trade with other world nations such as the United States of America. Through industrial revolution, European nations influenced the activities of other countries.

 

 

 

 

                                                      Work cited

 

Verne, Jules. Around the world in 80 days. France. Pierre-Jules Hertzel. 1873. Print

Bottling Company Case Study – Mean, Median and standard deviation

  • Assignment 1: Bottling Company Case Study

Due Week 10 and worth 140 points

 

Imagine you are a manager at a major bottling company. Customers have begun to complain that the bottles of the brand of soda produced in your company contain less than the advertised sixteen (16) ounces of product. Your boss wants to solve the problem at hand and has asked you to investigate. You have your employees pull thirty (30) bottles off the line at random from all the shifts at the bottling plant. You ask your employees to measure the amount of soda there is in each bottle. Note: Use the data set provided by your instructor to complete this assignment. 

Faculty Note: Provide students the data set below or your own for the completion of this assignment.

Bottle Number

Ounces

Bottle Number

Ounces

Bottle Number

Ounces

1

14.5

11

15

21

14.1

2

14.6

12

15.1

22

14.2

3

14.7

13

15

23

14

4

14.8

14

14.4

24

14.9

5

14.9

15

15.8

25

14.7

6

15.3

16

14

26

14.5

7

14.9

17

16

27

14.6

8

15.5

18

16.1

28

14.8

9

14.8

19

15.8

29

14.8

10

15.2

20

14.5

30

14.6

 

 

Write a two to three (2-3) page report in which you:

1.Calculate the mean, median, and standard deviation for ounces in the bottles.

2.Construct a 95% Confidence Interval for the ounces in the bottles.

3.Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test.

4.Provide the following discussion based on the conclusion of your test:  

a. If you conclude that there are less than sixteen (16) ounces in a bottle of soda, speculate on three (3) possible causes. Next, suggest the strategies to avoid the deficit in the future.

 

Or

 

b. If you conclude that the claim of less soda per bottle is not supported or justified, provide a detailed explanation to your boss about the situation. Include your speculation on the reason(s) behind the claim, and recommend one (1) strategy geared toward mitigating this issue in the future.

 

 

 

Your assignment must follow these formatting requirements:

 

•Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides.  No citations and references are required, but if you use them, they must follow APA format. Check with your professor for any additional instructions.

•Include a cover page containing the title of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page and the reference page are not included in the required assignment page length.

 

 

The specific course learning outcomes associated with this assignment are:

 

•Calculate measurements of central tendency and dispersal.

•Determine confidence intervals for data.

•Describe the vocabulary and principles of hypothesis testing.

•Discuss application of course content to professional contexts.

•Use technological tools to solve problems in statistics.

•Write clearly and concisely about statistics using proper writing mechanics.

Stats help

How many times have you heard at the airport : “The plane is overbooked”
To the average person this sounds ridiculous. Why would they sell more
tickets than seats on the plane? The answer to this business practice 
lies within a binomial experiment exhibited by the following fictitious 
problem:

An airline sells 15 tickets for a small plane with 12 
seats. Overbooking is a common practice at this airline since only 80% 
of passengers that book and pay for a flight usually show up. Even 
though tickets are non-refundable, the airline wants to make more money.

N = number of tickets sold
p = probability a passenger shows up
q = probability a passenger does not show up.

  FIVE Part Posting Assignment

Part 1: Fill in the Blanks

N = _____, p = _____, q = _____

Part 2: Find the probability exactly 12 passengers show up 
(Must show work and/or calculator function and numbers used for your answer)

Part 3Find the probability more than 12 passengers show up
(Must show work and/or calculator function and numbers used for your answer)

Part 4Find the probability  less than 12 passengers show up
(Must show work and/or calculator function and numbers used for your answer)

Part 5Using your statistical and numerical findings above, write a statement (small letter) to the President of the Airline Company with your statistical recommendation for continuing, discontinuing, or changing their overbooking policy.  give reason for your recommendation.  Be clear.  Your statement should also include other considerations to take into account that may need further study.

OTHER INFORMATION
 (Work Hint:  I am looking for calculations and work such as the calculations presented in the video link for section 4.2 in the Instructor Comments.  Instead of “oatmeal raisin cookies”, you will do some calculations relating to this airlines example).

 

 

PLEASE SHOW WORK!!!!!

buss

page1image256

  1. [1] Read Case 5.1 before answering items on this assessment. This assessment is worth 3% of the overall grade.

    Assume that the number of watches produced every hour is normally distributed with a mean of 500 and a standard deviation of 100. What is the probability that in a randomly selected hour the number of watches produced is greater than 500?0%100%50%25%

1 points   

QUESTION 2

  1. [2] Assume that the number of watches produced every hour is normally distributed with a mean of 500 and a standard deviation of 100. What is the probability that in a randomly selected hour the number of watches produced is less than 700?0.9772almost 00.47720.0228

1 points   

QUESTION 3

  1. [3] Assume that the number of watches produced every hour is normally distributed with a mean of 500 and a standard deviation of 100. What is the probability that in a randomly selected hour the number of watches produced is greater than 700?0.02280.97720.4772almost 0

1 points   

QUESTION 4

  1. [4] Assume that the number of watches produced every hour is normally distributed with a mean of 500 and a standard deviation of 100. What is the probability that in a randomly selected hour the number of watches produced is between 300 than 700?0.0455almost 00.45450.9545

1 points   

QUESTION 5

  1. [5] Assume that the number of watches produced every hour is normally distributed with a mean of 500 and a standard deviation of 100. What is the probability that in a randomly selected hour the number of watches produced is less than 300 or more than 700?almost 00.45450.04550.9545