0. A random sample of 111 Hanover College undergraduates were asked how many alcoholic beverages they consume in a typical week. Below are some descriptive statistics for this variable. Please interpret the meaning of the result in the last row, the "Confidence Level (90%)". (10 points)

Alcoholic Beverages
Mean	7.184684685
Standard Error	0.840248002
Median	3
Mode	0
Standard Deviation	8.852562014
Sample Variance	78.36785422
Kurtosis	0.27604746
Skewness	1.20800203
Range	30
Minimum	0
Maximum	30
Sum	797.5
Count	111
Confidence Level(90.0%)	1.393822576

1. In 1994 in Great Britain there was hot debate over a regulation that required bigger beer glasses to accommodate a full 20-ounce British pint and a creamy head. Brewers and pub landlords would be fined for selling less. As a test, an agent visited a pub at nine random times, ordering a draft on each visit and found that the sample mean was 19.9389 ounces with a sample standard deviation of .1498 ounces. Would you conclude that on average this pub was serving glasses of beer with less than 20 ounces? (Test at the 5% level.) (15 points)
2. In a sample of 110 Hanover College students, 77 reported that they did not use tobacco in a typical week. Develop a 99% confidence interval to estimate the true population proportion of college students who do not use tobacco in a typical week. Interpret this estimate. (10 points)

 

 

 

 

 

 

3. Nationally, 18.3% of adults over the age of 18 who have had more than 12 years of education (some amount of college) use tobacco. In light of your interval estimate from problem 4, does this figure seem reasonable? Explain. (20 points)

 

 

 

 

 

 

 

 

 

 

4. A new diet program claims that participants will lose on average at least 8 pounds during the first week of the program. A random sample of 40 people participating in the program showed a sample mean weight loss of 7 pounds. The sample standard deviation was 3.2 pounds. Use z-scores, confidence intervals or p-values to test this hypothesis. Explain your conclusions to potential customers of this diet program. (15 points)
5. According to the long-since expired bottle in my desk drawer, there are 4 milligrams of Chlorpheniramine Maleate in each of my allergy tablets. I’m not a Pharmacist, but I am willing to assume that it is unacceptable for each of these tablets to have significantly more or less than 4 mg of this ingredient. You are hired to test the production facility for accurate measurement of ingredients in these tablets. In the following questions, be as specific and as thorough as possible. (20 points)

1. Choose a level of confidence for your hypothesis test. Why did you choose this a ?
2. How would you design, execute, and interpret your hypothesis test? Explain every step in your methodology.
3. Discuss the ramifications of making both Type I and II errors in this case.

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