Question

(e)(6) Calculate an approximate 95% confidence interval for the mean gallons of beer drunk by all Montana adults. Suppose MBA was now interested if on average Montanan adults drink a different amount than 40.8 gallons. Is the sample result significant at a significance level of.05 based on this confidence interval?

(f) (4) Interpret this confidence interval in the context of the problem. Circle all true statements.

i. There is a 95% probability that the mean gallons of beer drunk by Montanans in a year is in the interval given above

.ii. We are 95% confident that the number of gallons of beer drunk by each Montanan in a year is in the interval given above

.iii. We are confident that 95% of the time, the mean gallons of beer drunk by Montanans in a year is in the interval given above

.iv. We are 95% confident that the mean gallons of beer drunk by Montanans in a year is in the interval given above.

(g)(4) State, very carefully, the assumptions necessary for the significance test and confidence interval used above to be valid.

Answer 1

f.iv. We are 95% confident that the mean gallons of beer drunk by Montanans in a year is in the interval given above.

g. Assumptions:
i. The population is normally distributed
ii. Each value is sampled independently from each                  other value.
iii. The data must be samples randomly.
iv. Sample size should be no more than 10% of the population.

e. Enough information is not there to compute the confidence interval.

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