Question: After a certain task, subjects' heart rates increase.We want to estimate the average heart rate in the population after the task. We take a sample

After a certain task, subjects' heart rates increase.We want to estimate the average heart rate in the population after the task. We take a sample of 25 observations and find that the average heart rate is 68 beats per minute and the unbiased estimate of the population standard deviation is 10.

a) What is our best guess of the average heart rate in the population?

b) What is our best guess of the variance in the population?

c) What is the interval such that, if we did the same experiment 100 times, we expect the population mean to fall within it 95 times?

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