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

12 phones from the manufacturer had a mean range of 1170

1170 feet with a standard deviation of 33

33 feet. A sample of 17

17 similar phones from its competitor had a mean range of 1150

1150 feet with a standard deviation of 36

36 feet. Do the results support the manufacturer's claim? Let

1

1 be the true mean range of the manufacturer's cordless telephone and

2

2 be the true mean range of the competitor's cordless telephone. Use a significance level of =0.1

=0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.