A manufacturer claims that the calling range (in feet) of its900-MHz cordless telephone is greater than that of its leadingcompetitor. A sample of 1919 phones from the manufacturer had amean range of 12301230 feet with a standard deviation of 3131 feet.A sample of 1111 similar phones from its competitor had a meanrange of 11901190 feet with a standard deviation of 4242 feet. Dothe results support the manufacturer's claim? Let ?1?1 be the truemean range of the manufacturer's cordless telephone and ?2?2 be thetrue mean range of the competitor's cordless telephone. Use asignificance level of ?=0.1?=0.1 for the test. Assume that thepopulation variances are equal and that the two populations arenormally distributed.
Step 2 of 4 :
Compute the value of the t test statistic. Round your answer tothree decimal places.
step 3 t/|t| is > ____
reject, fail to reject