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 12 phones from the manufacturer had a mean range of 1150 feet with a standard deviation of 27 feet. A sample of 77 similar phones from its competitor had a mean range of 1100 feet with a standard deviation of 23 feet. Do the results support the manufacturer's claim? Let μ1 be the true mean range of the manufacturer's cordless telephone and μ2 be the true mean range of the competitor's cordless telephone. Use a significance level of α=0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed. compute the t test statistic, determine the rejecting null Ho, and state the test conclusion

Answer 1