In this problem, round your answer to three decimal places, if necessary. Travis runs two similar races. For one race, the times are normally distributed with a mean of 44.7 seconds and a standard deviation of 4.2 seconds. Travis's time is 40.5 seconds. find the z-score for this time. For the other race, the times are normally distributed with a mean of 43.4 seconds and a standard deviation of 3.5 seconds. Travis's time is 41.1 seconds. find the z-score for this time. Which time is better, relative to all runners in the race? O The first race O The second race Is this the same time that appears better if you didn't consider the race statistics? OYes, the race with the better z-score is the same as the one with the better time. O No, the race with the better z-score is the one with the worse time.

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388
IF)
FIT
(1
In this problem, round your answer to three decimal places, if necessary.
Travis runs two similar races.
For one race, the times are normally distributed with a mean of 44.7 seconds and a standard deviation of
4.2 seconds. Travis's time is 40.5 seconds. find the z-score for this time.
For the other race, the times are normally distributed with a mean of 43.4 seconds and a standard
deviation of 3.5 seconds. Travis's time is 41.1 seconds. find the z-score for this time.
Which time is better, relative to all runners in the race?
O The first race
O The second race
Is this the same time that appears better if you didn't consider the race statistics?
OYes, the race with the better z-score is the same as the one with the better time.
O No, the race with the better z-score is the one with the worse time.
Transcribed Image Text:TE 388 IF) FIT (1 In this problem, round your answer to three decimal places, if necessary. Travis runs two similar races. For one race, the times are normally distributed with a mean of 44.7 seconds and a standard deviation of 4.2 seconds. Travis's time is 40.5 seconds. find the z-score for this time. For the other race, the times are normally distributed with a mean of 43.4 seconds and a standard deviation of 3.5 seconds. Travis's time is 41.1 seconds. find the z-score for this time. Which time is better, relative to all runners in the race? O The first race O The second race Is this the same time that appears better if you didn't consider the race statistics? OYes, the race with the better z-score is the same as the one with the better time. O No, the race with the better z-score is the one with the worse time.
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