vs the marathon training times (in minutes) for a random samp Training Times (in minutes) of Female Runners 17 8 9 9 Key: 17|8 - 178 18 00 0 0I 2 3 4 6 67 9 19 0 00 13 4 55 66 20 00 12 3

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ne stem-and-leaf plot below shows the marathon training times (in minutes) for a random sample of 30 female
runners.
Training Times (in minutes)
of Female Runners
17
8.
9.
9.
Key: 17|8 - 178
00 0 0 123 4 6 6 7 9
19 0 0 0134 5 56 6
20 0 0 1 2 3
18
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. Interpret the 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. Write your answer in a complete
sentence.
Transcribed Image Text:GELO Artifact ne stem-and-leaf plot below shows the marathon training times (in minutes) for a random sample of 30 female runners. Training Times (in minutes) of Female Runners 17 8. 9. 9. Key: 17|8 - 178 00 0 0 123 4 6 6 7 9 19 0 0 0134 5 56 6 20 0 0 1 2 3 18 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. Interpret the 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. Write your answer in a complete sentence.
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