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Suppose that the population of lengths of all fully grown male killer whales is approximately normally distributed. A recent article published in the Zoology Now journal daims that the mean of this population is 6.59 m. You want to test the claim made in the article, so you select a random sample of 14 fully grown male killer whales and record the length of each. Follow the steps below to construct a 99% confidence interval for the population mean of all lengths of fully grown male killer whales. Then state whether the confidence interval you construct contradicts the article's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Number of male killer Sample standard whales Sample mean Take Sample deviation 14 6.697 1.255 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Standard erTor: Point estimate: Critical values Sample standard deviation: Margin of error: 0.005 3.012 f0.010 2.650 Critical value: f0.025 2.160 99% confidence interval: "0.050 1.771 Compute "0.100 1.350 (b) Based on your sample, graph the 99% confidence interval for the population mean of all the lengths of fully grown male killer whales. • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (), enter the claim 6.59 from the article.

Suppose that the population of lengths of all fully grown male killer whales is approximately normally distributed. A recent article published in the Zoology Now journal daims that the mean of this population is 6.59 m. You want to test the claim made in the article, so you select a random sample of 14 fully grown male killer whales and record the length of each. Follow the steps below to construct a 99% confidence interval for the population mean of all lengths of fully grown male killer whales. Then state whether the confidence interval you construct contradicts the article's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Number of male killer Sample standard whales Sample mean Take Sample deviation 14 6.697 1.255 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Standard erTor: Point estimate: Critical values Sample standard deviation: Margin of error: 0.005 3.012 f0.010 2.650 Critical value: f0.025 2.160 99% confidence interval: "0.050 1.771 Compute "0.100 1.350 (b) Based on your sample, graph the 99% confidence interval for the population mean of all the lengths of fully grown male killer whales. • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (), enter the claim 6.59 from the article.

MATLAB: An Introduction with Applications
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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Suppose that the population of lengths of all fully grown male killer whales is approximately normally distributed. A recent artide published in the Zoology Now journal daims that the mean of this population is 6.59 m. You want to test the claim made in the article, so you select a random sample of 14 fully grow male killer whales and record the length of each. Follow the steps below to construct a 99% confidence interval for the population mean of all lengths of fully grown male killer whales. Then state whether the confidence interval you construct contradicts the article's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Number of male killer Sample standard Sample mean whales deviation Take Sample 14 6.697 1.255 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Standard eTor: Point estimate: Critical values Sample standard deviation: Margin of error: "0.005=3.012 "o.010 2.650 Critical value: t0.025 2.160 99% confidence interval: f0.050 1.771 Compute "0.100 1.350 (b) Based on your sample, graph the 99% confidence interval for the population mean of all the lengths of fully grown male killer whales. • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (), enter the claim 6.59 from the article. 99% confidence interval: 10.000 0.000 5.000
Transcribed Image Text:Suppose that the population of lengths of all fully grown male killer whales is approximately normally distributed. A recent artide published in the Zoology Now journal daims that the mean of this population is 6.59 m. You want to test the claim made in the article, so you select a random sample of 14 fully grow male killer whales and record the length of each. Follow the steps below to construct a 99% confidence interval for the population mean of all lengths of fully grown male killer whales. Then state whether the confidence interval you construct contradicts the article's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Number of male killer Sample standard Sample mean whales deviation Take Sample 14 6.697 1.255 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Standard eTor: Point estimate: Critical values Sample standard deviation: Margin of error: "0.005=3.012 "o.010 2.650 Critical value: t0.025 2.160 99% confidence interval: f0.050 1.771 Compute "0.100 1.350 (b) Based on your sample, graph the 99% confidence interval for the population mean of all the lengths of fully grown male killer whales. • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (), enter the claim 6.59 from the article. 99% confidence interval: 10.000 0.000 5.000
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