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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
9.34 Suppose that a random sample of 50 bottles of a par- ticular brand of cough medicine is selected and the alco- hol content of each bottle is determined. Let m denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the sample of 50 re- sults in a 95% confidence interval for m of (7.8, 9.4).
a. Would a 90% confidence interval have been narrower or wider than the given interval? Explain your answer.
b. Consider the following statement: There is a 95% chance that m is between 7.8 and 9.4. Is this statement correct? Why or why not?
c. Consider the following statement: If the process of se- lecting a sample of size 50 and then computing the corre- sponding 95% confidence interval is repeated 100 times, 95 of the resulting intervals will include m. Is this state- ment correct? Why or why not?
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