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Two surveys are taken. One estimates the mean number of shots it takes to complete a...

Two surveys are taken. One estimates the mean number of shots it takes to complete a golf course is 85, while the other suggests it is 94. Assume the population is normally distributed.

(a) Suppose the first survey had 15 subjects, a mean of 85, and a sample standard deviation of 6 shots. Find the 99% confidence interval for the true mean using this survey.

(b) Suppose the second survey had 21 subjects, a mean of 94, and a sample standard deviation of 9 shots. Find the 99% confidence interval for the true mean using this survey.

(c) Let's assume these two surveys are truly random and are not influenced by weather conditions or other confounding variables. What should we look for in data of the second sample to try to explain the difference in the means? [Hint: one word or one sentence]

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