The stem-and-leaf plot below shows the marathon training times (in minutes) fora random sample of 30 female runners. Training Times (in minutes) of Female Runners Key: 17|8 = 178 8 99 18 0 0 00 0 0 0 1 3 4 5 5 6 6 0 0 1 2 3 17 1 2 3 4 6 6 79 19 20 Provided the data from the stem-and-leaf plot above answer the following questions. 1. Use the sample to find a point estimate (round to 2 DP) for the mean training time of the female runners. 2. Find the sample standard deviation (round to 2 DP) of the training time for the female runners. 3. Use the sample to construct a 95% confidence interval for the population mean training time of the female runners. 4. Interpretthe result of Exercise 3. Write in complete sentences. 5. A trainer wants to estimate the population mean training time for female runners within 2 minutes. Determine the minimum sample size required to construct a 99% confidence interval for the population mean training time of female runners. Assume the population standard deviation is 8.4 minutes.

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