Training Times (in minutes) of Female Runners 17 8 9 9 0 0 0 0 1 2 3 4 6 6 7 9 0 0 0 1 3 4 5 5 6 6 20 0 0 1 2 3 Key: 178 = 178 18 19

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Chapter1: Combinatorial Analysis
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The stem-and-leaf plot below shows the marathon training times (in minutes) for a random sample of 30 female runners.

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.

 

Training Times (in minutes)
of Female Runners
17 8 9 9
0 0 0 0 1 2 3 4 6 6 7 9
0 0 0 1 3 4 5 5 6 6
20 0 0 1 2 3
Key: 178 = 178
18
19
Transcribed Image Text:Training Times (in minutes) of Female Runners 17 8 9 9 0 0 0 0 1 2 3 4 6 6 7 9 0 0 0 1 3 4 5 5 6 6 20 0 0 1 2 3 Key: 178 = 178 18 19
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