The annual earnings of 14 randomly selected computer software engineers have a sample standard deviationof $3621. Assume the sample is from a normally distributed population. Construct a confidence interval for thepopulation variance o² and the population standard deviation 6. Use a 99% level of confidence. Interpret theresults.What is the confidence interval for the population variance o²?

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Answered: The annual earnings of 14 randomly…

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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A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.996 gallon. Complete parts (a) through (d) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.01.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H, . Ho: H What is the test statistic? ZSTAT = (Round to two decimal places as needed.) What is/are the critical value(s)? (Use a = 0.01.) (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean…
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. A random sample of 45 home theater systems has a mean price of $142.00. Assume the population standard deviation is $18.80. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (____, ____) (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is (____, ____) (Round to two decimal places as needed.)
The annual earnings of 13 randomly selected computer software engineers have a sample standard deviation of $3697. Assume the sample is from a normally distributed population. Construct a confidence interval for the population variar and the population standard deviation a. Use a 95% level of confidence. Interpret the results. What is the confidence interval for the population variance o2? OD (Round to the nearest integer as needed.) Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to the nearest integer as needed.) O A. With 5% confidence, you can say that the population variance is less than O B. With 5% confidence, you can say that the population variance is between and OC. With 95% confidence, you can say that the population variance is between OD. With 95% confidence, you can say that the population variance is greater than and What is the confidence interval for the population standard deviation o? | D (Round to…
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