Problem 1. An ethologist is interested in determining the average weight of adult Olympic marmots. It would be expensive and impractical to trap and measure the whole population, so a random sample of 16 adults is trapped and weighed.. The sample has a mean of 7.3 kg and a standard deviation of 0.48 kg. It is known from past studies that the population distribution is approximately normal. Construct a 95% confidence interval for the population mean. a. What is the sampling distribution of the sample means? Is the sample size large enough to state the conclusion, or does it matter? b. What is the standard deviation of the sampling distribution, or the standard error of the sample means? c. What is the critical value, ta d. Calculate the lower limit and upper limits of the 95% confidence interval and interpret your confidence interval.

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