Question

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 17 phones from the manufacturer had a mean range of 1210 feet with a standard deviation of 23 feet. A sample of 11 similar phones from its competitor had a mean range of 1150 feet with a standard deviation of 34 feet. Do the results support the manufacturer's claim? Let ?1 be the true mean range of the manufacturer's cordless telephone and ?2 be the true mean range of the competitor's cordless telephone. Use a significance level of ?=0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 1 of 4: State the null and alternative hypotheses for the test. Step 1 of 4: State the null and alternative hypotheses for the test. Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0H0. Round your answer to three decimal places. Step 4 of 4: State the test's conclusion.

          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 17 phones from the manufacturer had a mean
range of 1210 feet with a standard deviation of 23 feet. A sample
of 11 similar phones from its competitor had a mean range of 1150
feet with a standard deviation of 34 feet. Do the results support
the manufacturer's claim? Let ?1 be the true mean range of the
manufacturer's cordless telephone and ?2 be the true mean range of
the competitor's cordless telephone. Use a significance level of
?=0.05 for the test. Assume that the population variances are equal
and that the two populations are normally distributed. Step 1 of 4:
State the null and alternative hypotheses for the test.
Step 1 of 4: 
State the null and alternative hypotheses for the test.
Step 2 of 4: 
Compute the value of the t test statistic. Round your
answer to three decimal places
Step 3 of 4: 
Determine the decision rule for rejecting the null
hypothesis H0H0. Round your answer to three decimal
places.
Step 4 of 4: 
State the test's conclusion.

Added by Patrick F.

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