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 1270 feet with a standard deviation of 29 feet. A sample of 13 similar phones from its competitor had a mean range of 1250 feet with a standard deviation of 30 feet. Do the results support the manufacturer's claim? Let μ1 μ 1 be the true mean range of the manufacturer's cordless telephone and μ2 μ 2 be the true mean range of the competitor's cordless telephone. Use a significance level of α=0.05 α = 0.05 for the test. Assume that the population variances are equal ("pooled"). State the alternative and null hypotheses.

Answer 1