A winemaker has placed a large order for the no. 9 corks described in Applied Example 6.13
Question:
d. The diameter of each cork is measured in several places, and an average diameter is reported for each cork. The cork manufacturer has assured the winemaker that each cork has an average diameter within the specs and that all average diameters have a normal distribution with a mean of 24.0 mm.
a. Why does it make sense for the diameter of the cork to be assigned the average of several different diameter measurements? A random sample of 18 corks is taken from the batch to be shipped and the diameters (in millimeters) obtained:
b. The average diameter spec is 24 mm + 0.6 mm/ - 0.4 mm Does it appear this order meets the spec on an individual cork basis? Explain.
c. Does the sample in part a show sufficient reason to doubt the truthfulness of the claim, that the mean average diameter is 24.0 mm, at the 0.02 level of significance? A different sample of 18 corks was randomly selected and the diameters (in millimeters) obtained:
d. Does the preceding sample show sufficient reason to doubt the truthfulness of the claim, that the mean average diameter is 24.0 mm, at the 0.02 level of significance?
e. What effect did the two different sample means have on the calculated test statistic in parts c and d? Explain.
f. What effect did the two different sample standard deviations have on the calculated test statistic in parts c and d? Explain.
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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