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 99 phones from the manufacturer had a mean range of 13501350 feet with a standard deviation of 4242 feet. A sample of 1717 similar phones from its competitor had a mean range of 12801280 feet with a standard deviation of 2828 feet. Do the results support the manufacturer's claim? Let μ1μ1 be the true mean range of the manufacturer's cordless telephone and μ2μ2 be the true mean range of the competitor's cordless telephone. Use a significance level of α=0.1α=0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 4 :  

State the null and alternative hypotheses for the test.

Step 1 of 4 :  

State the null and alternative hypotheses for the test.

Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. t or |t|, < or >, ____ (answer three decimal places)

Step 4 of 4: State the test's conclusion Reject or Fail to Reject Null Hypothesis

Answer 1

from above

step 1:

Ho:μ1-μ2	=	0
Ha: μ1-μ2	>	0

Step 2 of 4:

value of the t test statistic =5.095

Step 3 of 4:

Decision rule :                   reject Ho if test statistic t>1.318

Step 4 of 4:

Reject Null Hypothesis