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In the Chips Ahoy cookie example (Exercise 6), a 95% confidence interval with a width of approximately 100 (the difference between the lower limit of 1204.30 and the higher limit of 1317.70) was constructed when the sample consisted of 18 bags of cookies (N = 18). Using the standard deviation of 114.01 as the estimate of the population standard deviation (σ ^) …

a. How large should the sample be for a desired 95% confidence interval width of 50 chocolate chips?

b. How large should the sample be for a desired 95% confidence interval width of 30 chocolate chips?

c. How large should the sample be for a desired 95% confidence interval width of 10 chocolate chips?

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