v. Refer to a random sample of 20 undergraduate studentswho worked an average of 13.5 hours per week for auniversity. Assume the population is normally distributedwith a standard deviation of 5 hours per week.Test the claim that the average student works less than 15hours per week at the alpha = 0.02 significance level bycomparing the calculated z-score to the critical z-score.1. Identify and write the null (Ho) and alternative hypotheses(Ha).2. Calculate and show the standard error of the mean.3. Calculate the z-score.4. State if Ho is accepted or rejected.5. Show the normal distribution diagram and identify theacceptance and rejection region (s).Z-score on your diagramAlso show the critical

given that n=20,x bar=13.5,s.d=5,alpha=0.02

Answered: Refer to a random sample of 20…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 191, x= 6.58, s = 1.96. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. H μ=7.00 O B. Ho: µ= 7.00 H4: µ>7.00 H1:µ7.00 H1:H#7.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. |(Round to three decimal places as needed.) ate the final conclusion that addresses the original claim. V Ho- There is V evidence to conclude that the mean of the population of ratings is V 7.00.
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A sample of 20 third-grade students had a average of 54 on a math proficiency test, with a sample standard deviation of 11. Is there enough evidence to conclude that the third-grade sample mean differs significantly from the third-grade population mean of 67? Assume a 0.02 significance level. Use the Critical Value Method of Testing (this means NO P-Values!). will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1 3. The test statistic4. The type of test(left, right, two-tailed) and the p-value 5. The decision to accept Ho or reject Ho
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n = 196, x= 7.56, s = 1.84. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 8.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: μ = 8.00 Ημ 8.00 O D. Ho: μ = 8.00 H₁: 8.00
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 189, x= 6.58, s= 1.84. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. Ηρ: μ= 7.00 B. H0: μ=7.00 H:u>7.00 H1:µ#7.00 OC. Ho: H=7.00 H1: µ 7.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is evidence to conclude that the mean of the population of ratings is 7.00.
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A national corporation has implemented incentives for employees to engage in a fitness program. The program has been in effect for 3 years and the corporation claims that the average BMI among its male employees is lower than the national average for males. The CDC list the average BMI for males to be 26.6. Sample size = 40, sample mean = 25.74, standard deviation = 6.16557 Perform a hypothesis test at a level of significance of 0.05 to examine the claim by the corporation with respect to having a lower average BMI than the national average. Clearly state the hypotheses, Determine the rejection region, Compute the test statistic, Clearly state if the null hypothesis can be rejected and why or why not, Determine the p-value of the test and interpret all results of the hypothesis test. Also Determine 95% confidence interval about the population mean and 90% confidence interval about the population mean. For both parts 95% and 90%, make a statement about the ability to either support…

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