Teen drivers (those aged 15-19) spend an average of 25 minutes behind the wheel each day. Assume that the standard deviation is known to be 7.6 minutes. You randomly select 35 teenage drivers. a) Can you use the Normal model to describe the sampling distribution of sample means? Why or why not? b) What is the mean of the sampling distribution? (give number only) c) What is the standard deviation of the sampling distribution? (number only, to 4 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Teen drivers (those aged 15-19) spend an average of 25 minutes behind the wheel
each day. Assume that the standard deviation is known to be 7.6 minutes. You
randomly select 35 teenage drivers.
a) Can you use the Normal model to describe the sampling distribution of sample
means? Why or why not?
b) What is the mean of the sampling distribution? (give number only)
c) What is the standard deviation of the sampling distribution? (number only, to 4
decimal places)
d) You take a random sample of 35 teen drivers and want to find the probability that
the mean time they spend driving each day is less than 21.5 minutes. What z-score
should you use? (give your answer to 3 decimal places)
e) You take a random sample of 35 teen drivers. What is the probability that the
mean time they spend driving each day is less than 21.5 minutes? (give your answer to 4
decimal places)
Transcribed Image Text:Teen drivers (those aged 15-19) spend an average of 25 minutes behind the wheel each day. Assume that the standard deviation is known to be 7.6 minutes. You randomly select 35 teenage drivers. a) Can you use the Normal model to describe the sampling distribution of sample means? Why or why not? b) What is the mean of the sampling distribution? (give number only) c) What is the standard deviation of the sampling distribution? (number only, to 4 decimal places) d) You take a random sample of 35 teen drivers and want to find the probability that the mean time they spend driving each day is less than 21.5 minutes. What z-score should you use? (give your answer to 3 decimal places) e) You take a random sample of 35 teen drivers. What is the probability that the mean time they spend driving each day is less than 21.5 minutes? (give your answer to 4 decimal places)
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