A manufacturer claims that the calling range (in feet) of its900-MHz cordless telephone is greater than that of its leadingcompetitor. A sample of 9 phones from the manufacturer had a meanrange of 1180 feet with a standard deviation of 35 feet. A sampleof 15 similar phones from its competitor had a mean range of 1120feet with a standard deviation of 20 feet. Do the results supportthe manufacturer's claim? Let μ1 be the true mean range of themanufacturer's cordless telephone and μ2 be the true mean range ofthe competitor's cordless telephone. Use a significance level ofα=0.1 for the test. Assume that the population variances are equaland that the two populations are normally distributed.
Step 2 of 4 : Compute the value of the t test statistic. Roundyour answer to three decimal places.
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 thedecision rule for rejecting the null hypothesis H0. Round youranswer to three decimal places.
Step 4 of 4: State the test's conclusion.
