It is important that the force required to extract a cork from a wine bottle not have
Question:
a. What would be the problem with the standard deviation being relatively large? What would be the advantage of a smaller standard deviation? A sample of 20 randomly selected bottles is used for testing.
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b. Is the preceding sample sufficient to show that the standard deviation of extraction force is less than 36.0 Newtons, at the 0.02 level of significance? During a different testing, a sample of eight bottles is randomly selected and tested.
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c. Is the preceding sample sufficient to show that the standard deviation of extraction force is less than 36.0 Newtons, at the 0.02 level of significance?
d. What effect did the two different sample sizes have on the calculated test statistic in parts b and c? What effect did they have on the p-value or critical value? Explain.
e. What effect did the two different sample standard deviations have on the answers in parts b and c? What effect did they have on the p-value or critical value? Explain.
Step by Step Answer:
a A large standard deviation could cause many of the corks to be out of specifications thereby being too easy or too hard to be inserted into the bott...View the full answer
