Training Times (in minutes) of Female Runners: 178, 179, 179, 180, 180, 180, 180, 181, 182, 183, 184, 186, 186, 187, 189, 190, 190, 190, 191, 193, 194, 195, 195. 196, 196, 200, 200, 201, 202, 203

Training Times (in minutes) of Male Runners: 155, 158, 159, 159, 159, 160, 160, 160, 160, 161, 162, 163, 164, 164, 165, 168, 169, 170, 171, 171, 173, 175, 176, 176, 177, 177, 179, 180, 181, 185

1. Use the sample to find a point estimate for the mean training time of the female runners and male runners.
2. Find the sample standard deviation of the training times for the female runners and the male runners.
3. Use the sample to construct a 95% confidence interval for the population mean training time of the female runners and male runners.
4. Illustrate and interpret the results of #3.
5. Use the sample to construct a 95% confidence interval for the population mean training time of all runners. How do these results differ from those in #3? Explain.
6. A trainer wants to estimate the population mean running times for both male and female runners within 2 minutes. Determine the minimum sample size required to construct a 99% confidence interval for the population mean training time of

a)female runner, assume the population standard deviation is 8.4 minutes

b)male runner, assume the population standard deviation is 8.9 minutes