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Mathematics, 18.02.2020 04:19, nev322
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 9 phones from the manufacturer had a mean range of 1120 feet with a standard deviation of 383 feet. A sample of 16 phones from the manufacturer had a mean range of 1050 feet with a standard deviation of 23 feet. A sample of 12 similar phones from its competitor had a mean range of 1020 feet with a standard deviation of 41 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 α = 0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed.
a. State the null and alternative hypotheses for the test.
b. Compute the value of the t test statistic. Round your answer to three decimal places.
c. Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places.
d. State the test's conclusion.
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A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater...
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