Problem 3: How Much Time do You Spend Studying Statistics? A Washington Post article "Is college too easy? As study time falls, debate rises" (May 21, 2012) stated that the amount of time college students actually study has dwindled from an average of 24 hours per week to about 15 hours (based on a survey). A professor of statistics decided to ask all of his current semester students to report the number of hours per week they spend studying his course material (on a regular, non-exam week). The mean for the female students was 10 hours and the standard deviation was 3.5 hours. a. Consider the following interpretations of the standard deviation and circle those that are correct. • On average, the number of hours spent studying statistics varied from the mean by about 3.5 hours. • The average distance between the number of hours spent studying statistics is roughly 3.5 hours. • The average number of hours spent studying statistics is about 3.5 hours away from the mean. b. Juan learns that he is in the top 30% of the studying distribution. Based on the distribution, Juan must study at least how many hours per week? Make a hand sketch of what you are trying to find to help show your work.

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Problem 3: How Much Time do You Spend Studying Statistics?
A Washington Post article "Is college too easy? As study time falls, debate rises" (May 21, 2012) stated
that the amount of time college students actually study has dwindled from an average of 24 hours per
week to about 15 hours (based on a survey). A professor of statistics decided to ask all of his current
semester students to report the number of hours per week they spend studying his course material (on a
regular, non-exam week). The mean for the female students was 10 hours and the standard deviation
was 3.5 hours.
a. Consider the following interpretations of the standard deviation and circle those that are correct.
On average, the number of hours spent studying statistics varied from the mean by about 3.5 hours.
The average distance between the number of hours spent studying statistics is roughly 3.5 hours.
The average number of hours spent studying statistics is about 3.5 hours away from the mean.
b. Juan learns that he is in the top 30% of the studying distribution. Based on the distribution, Juan must
study at least how many hours per week? Make a hand sketch of what you are trying to find to help
show your work.
Transcribed Image Text:Problem 3: How Much Time do You Spend Studying Statistics? A Washington Post article "Is college too easy? As study time falls, debate rises" (May 21, 2012) stated that the amount of time college students actually study has dwindled from an average of 24 hours per week to about 15 hours (based on a survey). A professor of statistics decided to ask all of his current semester students to report the number of hours per week they spend studying his course material (on a regular, non-exam week). The mean for the female students was 10 hours and the standard deviation was 3.5 hours. a. Consider the following interpretations of the standard deviation and circle those that are correct. On average, the number of hours spent studying statistics varied from the mean by about 3.5 hours. The average distance between the number of hours spent studying statistics is roughly 3.5 hours. The average number of hours spent studying statistics is about 3.5 hours away from the mean. b. Juan learns that he is in the top 30% of the studying distribution. Based on the distribution, Juan must study at least how many hours per week? Make a hand sketch of what you are trying to find to help show your work.
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