Assume the mean number of taste buds from the general population is 10,000 with a standard deviation of 900. You take a sample of 15 top chefs and the mean number of taste buds is 10,800. Assume that the number of taste-buds is a normally distributed variable for top chefs and assume the standard deviation for the general population is the population standard deviation for top chefs. a) What is the point estimate for the mean number of taste buds for all top chefs? b) Construct the 90% confidence interval for the mean number of taste buds for all top chefs. Write your answer in this form (lower limit, upper limit) c) Based on your answer to part (d), are you 90% confident that top chefs have, on average, more taste buds than the general population and why? Yes, because the population mean of 10,000 is below the upper limit of the confidence interval for the mean for top a. chefs. Choose a, b, c, or d No, because the general population mean of 10,000 is below the lower limit of the confidence interval for the mean for b. top chefs. Yes, because the general population mean of 10,000 is below the lower limit of the confidence interval for the mean for c. top chefs. No, because the population mean of 10,000 is below the upper limit of the confidence interval for the mean for top d. chefs. d) Why were we able to use the methods of this chapter despite such a small sample? Choose a, b, c, or d a. Because the sample mean is sufficiently large. b. Because we are assuming the number of taste buds in top chefs is a normally distributed variable. c. Because the number of taste buds represents a discrete variable. d. Because o is greater than 100.

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