A certain slope at a ski resort records the time it takes for skiers to ski the entire trail. It finds that the times follow a Normal distribution with a mean of 8.3 minutes and a standard deviation of 2.5 minutes. Let X = the amount of time it takes a randomly selected skier to complete the trail. The owners of the resort decide to use a new groomer on the trail that is supposed to take one minute off skiers' times. Let T = the new times after the grooming. Which of the following is a correct interpretation of the standard deviation of T, the new time to complete this trail? O T = 1.5; the new time for completing the trail is 1.5 minutes. T = 2.5; the new time for completing the trail is 2.5 minutes. ₁ = 1.5; the new time for completing the trail will typically vary from the mean by 1.5 minutes. T = 2.5; the new time for completing the trail will typically vary from the mean by 2.5 minutes. T = 3.5; the new time for completing the trail will typically vary from the mean by 3.5 minutes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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A certain slope at a ski resort records the time it takes for skiers to ski the entire trail. It finds that the times follow a
Normal distribution with a mean of 8.3 minutes and a standard deviation of 2.5 minutes. Let X = the amount of time
it takes a randomly selected skier to complete the trail. The owners of the resort decide to use a new groomer on
the trail that is supposed to take one minute off skiers' times. Let T = the new times after the grooming. Which of the
following is a correct interpretation of the standard deviation of T, the new time to complete this trail?
O O
T = 1.5; the new time for completing the trail is 1.5 minutes.
σT = 2.5; the new time for completing the trail is 2.5 minutes.
T = 1.5; the new time for completing the trail will typically vary from the mean by 1.5 minutes.
T = 2.5; the new time for completing the trail will typically vary from the mean by 2.5 minutes.
T = 3.5; the new time for completing the trail will typically vary from the mean by 3.5 minutes.
Transcribed Image Text:A certain slope at a ski resort records the time it takes for skiers to ski the entire trail. It finds that the times follow a Normal distribution with a mean of 8.3 minutes and a standard deviation of 2.5 minutes. Let X = the amount of time it takes a randomly selected skier to complete the trail. The owners of the resort decide to use a new groomer on the trail that is supposed to take one minute off skiers' times. Let T = the new times after the grooming. Which of the following is a correct interpretation of the standard deviation of T, the new time to complete this trail? O O T = 1.5; the new time for completing the trail is 1.5 minutes. σT = 2.5; the new time for completing the trail is 2.5 minutes. T = 1.5; the new time for completing the trail will typically vary from the mean by 1.5 minutes. T = 2.5; the new time for completing the trail will typically vary from the mean by 2.5 minutes. T = 3.5; the new time for completing the trail will typically vary from the mean by 3.5 minutes.
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