A simple random sample of 13 four-cylinder cars is obtained, and the braking distances are measured. The mean braking distance i
s 137.5 ft and the standard deviation is 5.8 ft. A simple random sample of 12 six-cylinder cars is obtained, and the braking distances have a mean of 136.3 ft with a standard deviation is 9.7 ft. Use a 0.05 significance level to test thee claim that the mean braking distance of four-cylinder cars is greater than the mean braking distance of six-cylinder cars. (a) CLAIM: IN WORDs
( b) CLAIM: IN EQUATION FORM
(c) DETERMINE THE HYPOTHESES.
(d) DRAW THE DISTRIBUTION -LABEL THE CRITICAL VALUE(S).
( e) CALCULATE THE TEST STATISTIC and include the test statistic on the graph above.
(f)STATE YOUR CONCLUSION IN CONTEXT OF H g.
(g)STATE YOUR CONCLUSION IN CONTEXT OF THE CLAIM.