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 18 phones from the manufacturer had a mean range of 1250 feet with a standard deviation of 31 feet. A sample of 11 similar phones from its competitor had a mean range of 1230 feet with a standard deviation of 33 feet. Do the results support the manufacturer's claim? Let μ 1 be the true mean range of the manufacturer's cordless telephone and μ 2   be the true mean range of the competitor's cordless telephone. Use a significance level of  α=0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Step 3 of 4 :

Determine the decision rule for rejecting the null hypothesis H 0  H0 . Round your answer to three decimal places.

Answer 1