In the Chips Ahoy cookie example (Exercise 6), a (95 %) confidence interval of ((1204.30,1317.70)) was constructed

Question:

In the Chips Ahoy cookie example (Exercise 6), a \(95 \%\) confidence interval of \((1204.30,1317.70)\) was constructed for \(N=18\) bags of cookies. Assuming the mean and standard deviation remained the same \((\bar{X}=1261.00, s=114.01) \ldots\)

a. What is the confidence interval for the mean for \(N=36\) bags rather than 18 ?

b. What is the confidence interval for the mean for \(N=200\) bags rather than 18 ?

c. What happens to the confidence interval as the sample gets larger (18 to 36 to 200 )?

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