You sample 26 people and record their resting heart rate. For your sample, the sample mean was 74.2 bpm. The population standard deviation is 8.4 bpm. (a) What is the value of the standard deviation of the sample mean? (b) What is the value of z* for a 95% confidence interval? (c) Construct a 95% confidence interval for the populaton mean resting heart rate. (d) Construct a 99% confidence interval. How does it differ from the 95% confidence interval? (e) Suppose you sample 61 people and for the new sample, the sample mean was 73.8 bpm. Construct a 95% confidence interval for the population mean resting heart rate and com- pare to your prior 95% confidence interval