To compare the average s g times for twe swimmers, each swimmer was asked to swim freestyle for a distance of 100 yards at randomly selected times. The swimmers were thoroughly rested between laps and did not race against each other so that each sample of times was an independent random sample. The times for each of Swimmer 1 Swimmer 2 59.51 59.75 59.80 59.42 59.49 59.44 59.33 59.62 59.64 59.71 59.75 59.49 59.49 59.62 59.69 59.02 60.00 59.69 59.85 59.50 A USE SALT Suppese that svimmer 2 was last vear's vinner when the tve Sivimmers raced. Does it appear that the averace time for svimmer 2 is still faster than the averape time for svimmer 1 in the 100-vard freestyle? (use Swimmer1- Swimmer 2. Use g- 0.05.) State the nul and alternative hyeotheses. O Ho: (H - H2) - o versus H: (, - H2) <0 O Ho: (H - H2) 0 O Mo: (H - H2) - o versus H: ( - 2) >0 O Hoi (H - H2) - O versus H (, - H2) =0 Hoi (H - 2) -0 versus Hi - 2) 0 State the test statistic. (Round your answer to three decimal places.) Find the appreximate prvalue for the test. O p-value < 0.005 O 0.005 < p-value < 0.010 O 0.010 < prvalue < 0.025 O 0.025 0.100

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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To compare the average swimming times for two swimmers, each swimmer was asked to swim freestyle for a distance of 100 yards at randomly selected times. The swimmers were thoroughly rested between laps and did not race against each other, so each sample of times was an independent random sample. The times for each of 10 trials are shown for the two swimmers.

**Time Table:**

|         | Swimmer 1 | Swimmer 2 |
|---------|-----------|-----------|
| **1**   | 59.61     | 59.75     |
| **2**   | 59.93     | 59.42     |
| **3**   | 59.84     | 59.54     |
| **4**   | 59.49     | 59.62     |
| **5**   | 59.56     | 59.49     |
| **6**   | 59.45     | 59.62     |
| **7**   | 59.71     | 59.67     |
| **8**   | 60.06     | 59.39     |
| **9**   | 59.64     | 59.65     |
| **10**  | 59.63     | 59.50     |
Transcribed Image Text:To compare the average swimming times for two swimmers, each swimmer was asked to swim freestyle for a distance of 100 yards at randomly selected times. The swimmers were thoroughly rested between laps and did not race against each other, so each sample of times was an independent random sample. The times for each of 10 trials are shown for the two swimmers. **Time Table:** | | Swimmer 1 | Swimmer 2 | |---------|-----------|-----------| | **1** | 59.61 | 59.75 | | **2** | 59.93 | 59.42 | | **3** | 59.84 | 59.54 | | **4** | 59.49 | 59.62 | | **5** | 59.56 | 59.49 | | **6** | 59.45 | 59.62 | | **7** | 59.71 | 59.67 | | **8** | 60.06 | 59.39 | | **9** | 59.64 | 59.65 | | **10** | 59.63 | 59.50 |
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