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The following data represent the running times of random samples of films produced by 2 motion-picture companies:
Company Time (minutes)A 102 86 98 109 92B 81 165 97 134 92 87 114
At the 1% level of significance, test the hypothesis that the average running time of films produced by Company A is less than that of Company B. Assume the distributions of running times at both companies are roughly normal.
Note: An unpooled variance t-statistic, if appropriate, would have 7 degrees of freedom.
(a) State the null and alternative hypotheses.(b) Calculate the value of an appropriate test statistic.(c) Construct the rejection region.(d) What do you conclude? (Interpret your result.)
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Do you benefit by using a cum sum chart rather than a control chart?
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Can we conclude that mean time for game is less than 3.50 hours? Use.05 significance level.
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