A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its lea

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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 12phones from the manufacturer had a mean
range of 1070 feet with a standard deviation of 27 feet. A sample
of 6 similar phones from its competitor had a mean range of 1050
feet with a standard deviation of 37 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=0.1 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 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 H0H0. Round your answer to three decimal
places.
Step 4 of 4:
State the test's conclusion.