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A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 15 phones from the manufacturer had a mean range of 1280 feet with a standard deviation of 21 feet. A sample of 10 similar phones from its competitor had a mean range of 1230 feet with a standard deviation of 40 feet. Do the results support the manufacturer's claim? Let μ₁ be the true mean range of the manufacturer's cordless telephone and μ₂ be the true mean range of the competitor's cordless telephone. Use a significance level of a = 0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round your answer to three decimal places.

A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 15 phones from the manufacturer had a mean range of 1280 feet with a standard deviation of 21 feet. A sample of 10 similar phones from its competitor had a mean range of 1230 feet with a standard deviation of 40 feet. Do the results support the manufacturer's claim? Let μ₁ be the true mean range of the manufacturer's cordless telephone and μ₂ be the true mean range of the competitor's cordless telephone. Use a significance level of a = 0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round your answer to three decimal places.

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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A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 15 phones from the manufacturer had a mean range of 1280 feet with a standard deviation of 21 feet. A sample of 10 similar phones from its competitor had a mean range of 1230 feet with a standard deviation of 40 feet. Do the results support the manufacturer's claim? Let μ₁ be the true mean range of the manufacturer's cordless telephone and μ₂ be the true mean range of the competitor's cordless telephone. Use a significance level of a = 0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round your answer to three decimal places.
Transcribed Image Text:A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 15 phones from the manufacturer had a mean range of 1280 feet with a standard deviation of 21 feet. A sample of 10 similar phones from its competitor had a mean range of 1230 feet with a standard deviation of 40 feet. Do the results support the manufacturer's claim? Let μ₁ be the true mean range of the manufacturer's cordless telephone and μ₂ be the true mean range of the competitor's cordless telephone. Use a significance level of a = 0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round your answer to three decimal places.
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