A manufacturer claims that the calling range (in feet) of its900-MHz cordless telephone is greater than that of its leadingcompetitor. A sample of 19 phones from the manufacturer had a meanrange of 1060 feet with a standard deviation of 41 feet. A sampleof 13 similar phones from its competitor had a mean range of 1000feet with a standard deviation of 24 feet. Do the results supportthe manufacturer's claim? Let ?1 be the true mean range of themanufacturer's cordless telephone and ?2 be the true mean range ofthe competitor's cordless telephone. Use a significance level of?=0.01 for the test. Assume that the population variances are equaland that the two populations are normally distributed.
Step 1 of 4: State the null and alternative hypotheses for thetest.
Step 2 of 4: Compute the value of the t test statistic. Roundyour answer to three decimal places.
Step 3 of 4: Determine the decision rule for rejecting the nullhypothesis H0. Round your answer to three decimal places.
Step 4 of 4: State the test's conclusion.
