Example 134: In a case in Ireland, aclass action lawsuit was broughtagainst the government alleging agediscrimination.The ages of 31randomly selected unsuccessful applicants for promotionyielded a mean age of 47 and a standard deviation of 7.2years. The ages of 30 randomly selected successfulapplicants yielded an average age of 43.9 and a standarddeviation of 5.9 years. Using a 5% significance level, testthe claim that the government is discriminating based onage.

Sample sizes n1=31 , n2=30 Sample means X̄1=47 , X̄2=43.9 s1 =7.2 ,…

Answered: class action lawsuit was brought…

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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Louis is managing sales agents at a call center. The company expects agents to make 20 cold calls per hour with a standard deviation of 4 calls. He samples 35 of his employees, and finds that they made an average of 23 calls. Louis wants to know if his employees’ calls are significantly different than the company’s expectations at the 2% significance level. What are the null and alternate hypotheses?
At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told. “You can average $80 a day in tips.” Assume the population of daily tips is normally distributed with a standard divistion of $3.24. Over the first 35 days she was employed at the restaurant, the mean daily amount of her tips was $84.85. At the .01 significance level, can Ms. Brigden conclude that her daily tips average more than $80?
Can someone please help? Thank you.
A national grocer's magazine reports the typical shopper spends 11 minutes in line waiting to check out. A sample of 21 shoppers at the local Farmer Jack's showed a mean of 10.0 minutes with a standard deviation of 2.2 minutes. Is the waiting time at the local Farmer Jack's less than that reported in the national magazine? Use the 0.050 significance level. a. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Reject 10 p2 11 and fall to reject 11 11 when the test statistic is b. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
Do political sclence classes require more writing than history classes? The 57 randornly selected political science classes assigned an average of 17.8 pages of essay writing for the course. The standard deviation for these 57 classes was 4 pages. The 58 randomly selected history classes assigned an average of 16.8 pages of essay writing for the course. The standard devlation for these 58 classes was 5.6 pages. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answerv Select an answerv Select an answerv H: Select an answerv Select an answerv Select an answerv b. The test statistic ?v = (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ?v a e. Based on this, we should Select an answerv the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The results are statistically significant…
7) A tire manufacturer has been producing tires with an average life expectancy of 26,000 miles. Now the company is advertising that their new tires' life expectancy has increased. In order to test the legitimacy of their advertising campaign, an independent testing agency tested a sample of 85 of their tires. The agency found the mean of the 85 tires to be 27,000 miles and the standard deviation to be 3,970 miles. Use a 0.01 level of significance and test to determine whether the company is using legitimate advertising. (Show all seven steps.)
The mean salary of federal government employees on the General Schedule is $62,493. The average salary of 21 state employees who do similar work is $60,800 with a population standard deviation of $2,700. At the .01 significance level, can it be concluded that state employees earn on average less than federal employees?
An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 14 plants using electricity, which had a mean cost per unit of $55.06 and standard deviation of $8.25, and 12 plants using gas, which had a mean of $57.80 and standard deviation of $7.81. Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean cost per unit for plants using electricity, differs from μ₂, the mean cost per unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of…
2) In a test of the Atkins weight loss program, forty individuals participated in a randomized trial with overweight adults. After one year, the mean weight loss was 7.1 pounds with a standard deviation of 4.8 pounds. Test a claim that, on average, participants lose 5 pounds. Use a .05 level of significance.
A pipes manufacturer makes pipes with a length that is supposed to be 12 inches. A quality control technician sampled 35 pipes and found that the sample mean length was 12.05 inches and the sample standard deviation was 0.13 inches. The technician claims that the mean pipe length is not 12 inches. What type of hypothesis test should be performed? Two-tailed t-test Two-tailed z-test Left tailed t-test Left tailed z-test What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist at the α=0.01 significance level to support the technician's claim? Yes or No

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