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 17 phones from the manufacturer had a mean range of 1100 1100 feet with a standard deviation of 33 33 feet. A sample of 10 10 similar phones from its competitor had a mean range of 1090 1090 feet with a standard deviation of 42 42 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 and that the two populations are normally distributed. Step 2 of 4 : Compute the value of the t test statistic. Round your answer to three decimal places.

Answer 1

Conclusion:

The calling range (in feet) of its 900 MHz cordless telephone is not greater than of its leading competitor

i.e. True mean range of the manufacture cordless telephone is same to the the competitor cordless telephone.