Medley In the 4 * 100 medley relay event, four swim-mers swim 100 yards, each using a different stroke. A college team preparing for the conference championship looks at the times their swimmers have posted and cre-ates a model based on the following assumptions: ● The swimmers’ performances are independent.● Each swimmer’s times follow a Normal model.● The means and standard deviations of the times(in seconds) are as shown: a) What are the mean and standard deviation for the relayteam’s total time in this event?b) The team’s best time so far this season was 3:19.48.(That’s 199.48 seconds.) Do you think the team is likely to swim faster than this at the conference cham-pionship? Explain. Swimmer Mean SD1 (backstroke) 50.72 0.242 (breaststroke) 55.51 0.223 (butterfly) 49.43 0.254 (freestyle) 44.91 0.21
Medley In the 4 * 100 medley relay event, four swim-mers swim 100 yards, each using a different stroke. A college team preparing for the conference championship looks at the times their swimmers have posted and cre-ates a model based on the following assumptions: ● The swimmers’ performances are independent.● Each swimmer’s times follow a Normal model.● The means and standard deviations of the times(in seconds) are as shown: a) What are the mean and standard deviation for the relayteam’s total time in this event?b) The team’s best time so far this season was 3:19.48.(That’s 199.48 seconds.) Do you think the team is likely to swim faster than this at the conference cham-pionship? Explain. Swimmer Mean SD1 (backstroke) 50.72 0.242 (breaststroke) 55.51 0.223 (butterfly) 49.43 0.254 (freestyle) 44.91 0.21
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 19SGR
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Question
Medley In the 4 * 100 medley relay event, four swim-
mers swim 100 yards, each using a different stroke. A
mers swim 100 yards, each using a different stroke. A
college team preparing for the conference championship
looks at the times their swimmers have posted and cre-
ates a model based on the following assumptions:
ates a model based on the following assumptions:
● The swimmers’ performances are independent.
● Each swimmer’s times follow a Normal model.
● The means and standard deviations of the times
(in seconds) are as shown:
● Each swimmer’s times follow a Normal model.
● The means and standard deviations of the times
(in seconds) are as shown:
a) What are the mean and standard deviation for the relay
team’s total time in this event?
b) The team’s best time so far this season was 3:19.48.
(That’s 199.48 seconds.) Do you think the team is
team’s total time in this event?
b) The team’s best time so far this season was 3:19.48.
(That’s 199.48 seconds.) Do you think the team is
likely to swim faster than this at the conference cham-
pionship? Explain.
pionship? Explain.
Swimmer Mean SD
1 (backstroke) 50.72 0.24
2 (breaststroke) 55.51 0.22
3 (butterfly) 49.43 0.25
4 (freestyle) 44.91 0.21
1 (backstroke) 50.72 0.24
2 (breaststroke) 55.51 0.22
3 (butterfly) 49.43 0.25
4 (freestyle) 44.91 0.21
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