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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 2 of 4: Compute the value of the t test statistic. 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 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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 2 of 4: Compute the value of the t test statistic. 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 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.
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