A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive officer (CEO) was at least seven years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of Z = 6.40 years for CEOS with astandard deviation of s= 7.02 years.a. Formulate hypotheses that can be used to challenge the validity of the daim made by the shareholders' group.He : - Select your answer -H.: ul- Select your answer - V7b. Assume 90 companies were included in the sample. What is the p-value for your hypothesis test? Enter negative value as negative number.t-value(to 3 decimals)Pvalue - Select vour answer-VC. At a= 0.01, what is your conclusion?- Select your answer-vthe null hypothesis. We - Select your answer -venough evidence to disprove the shareholder group's claim.

For the given data Perform one sample t test

Answered: A shareholders' group, in lodging a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
A national business magazine reports that the mean age of retirement for women executives is 61.0. Awomen’s rights organization believes that this value does not accurately depict the current trend inretirement. To test this, the group polled a simple random sample of 95 recently retired women executivesand found that they had a mean age of retirement of 61.5. Assuming the population standard deviation is2.5 years, is there sufficient evidence to support the organization’s belief at the ? = 0.05 significance level?
The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1250 who were over the age of 25, and 973 of them were high school graduates. (a) Find the mean and standard deviation for the total number of high school graduates in random groups of 1250 Americans who are over the age of 25. b. Is that county result of 973 unusually high, or low, or neither?
2. University researchers claim that the average enrollment at four-year colleges is higher than two-year community colleges. Two surveys are undertaken at 35 four-year universities and 35 two-year colleges. The mean enrollment at the four-year institutions was 5,466 with a standard deviation of 8,191. The average enrollment at the two-year schools was 5,068 with a standard deviation of 4,777. Using a 95% confidence level, are the findings of the surveys consistent with the university researchers’ claim? 2. Does the null hypothesis reject H0 or fail to reject H0?
12. The manager of a rent-a-car business want to know whether the true average numbers of cars rented a day is 25 with a standard deviation of 6.9 rentals. A random sample of 36 days was taken and found to have an average of 22.8 rentals. Test at 0.05 level of significance. Criterion : Decision : Conclusion :
A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $52. Complete parts (a) and (b) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $51? (Use a 0.01 level of significance.) State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round. Do not include the $ symbol in your answer.) Identify the critical value(s). The critical value(s) is/are (Type an integer or a decimal. Round to two decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic, 1STAT, is (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. Ho. There is evidence that the…
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $58and a standard deviation of $55.Complete parts (a) and (b) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $51? (Use a 0.01 level of significance.) State the null and alternative hypotheses.
In the 2000 census, the so-called 'short form' contained only 7 questions, including name, gender, age, race, how the person is related to the head of household, whether they are Hispanic, and whether they own or rent their home. According to U.S. Census Bureau, the average time to complete the short form is 10 minutes. Assuming a standard deviation of 2 minutes and a simple random sample of 30 persons who completed the short form, does it seem very likely that the members of such a sample would have required an average of 8 minutes or less to
3. A sociologist will conduct a two-sample t-test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelor's degrees and people with master's degrees. From a random sample of 32 people with a bachelor’s degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a master's degree, the average salary was $58,000 with a standard deviation of $4,000. With a null hypothesis of no difference in the means, which of the following is the test statistic for the appropriate test to investigate whether there is a difference in population means (master's degree minus bachelor's degree) ? (58,000–55,000) A 3,500 + 28 4,000 32 (58,000–55,000) B 4,0002 3,5002 28 32 (58,000–55,000) t = 3,5002 + 28 4,0002 32 (58,000–55,000) | 4,000+3,500 28+32 (58,000–55,000) t E | 4,0002 +3,5002 28+32
A college admissions officer believes that students enrolling from Shawnee school District have higher SAT scores than those who enroll from West River School District. A sample of 30 students from each district is selected. The average SAT score for the group from the Shawnee district is 656 with a standard deviation of 100. The average SAT score for the group from the West River district is 560 with a standard deviation of 90. Is the belief of the admissions officer substantiated?

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