A class survey in a large class for first-year college students asked, "About how many hours do you study during a typical week?" The mean response of the 463 students was x = 15.8 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation o = 8.3 hours in the population of all first-year students at this university. (a) Use the survey result to give a 99% confidence interval for the mean study time of all first-year students. (Round your answers to once decimal place.) 12 X to 14 X hours (b) What condition not yet mentioned must be met for your confidence interval to be valid? O We need to know this sample can be considered an SRS of the population of all first-year students at this university. e We need to know if this sample is normally distributed.

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A class survey in a large class for first-year college students asked, "About how many hours do you study during a typical week?" The mean response of the 463 students was
x= 15.8 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation o
university.
8.3 hours in the population of all first-year students at this
(a) Use the survey result to give a 99% confidence interval for the mean study time of all first-year students. (Round your answers to once decimal place.)
12
X to 14
Xhours
(b) What condition not yet mentioned must be met for your confidence interval to be valid?
O We need to know if this sample can be considered an SRS of the population of all first-year students at this university.
We need to know if this sample is normally distributed.
We need to know If this population Is normally distributed.
We need to know if this sample was a large portion of the population of all first-year students at this university.
You may need to use the appropriate Appendix Table to answer this question.
Transcribed Image Text:A class survey in a large class for first-year college students asked, "About how many hours do you study during a typical week?" The mean response of the 463 students was x= 15.8 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation o university. 8.3 hours in the population of all first-year students at this (a) Use the survey result to give a 99% confidence interval for the mean study time of all first-year students. (Round your answers to once decimal place.) 12 X to 14 Xhours (b) What condition not yet mentioned must be met for your confidence interval to be valid? O We need to know if this sample can be considered an SRS of the population of all first-year students at this university. We need to know if this sample is normally distributed. We need to know If this population Is normally distributed. We need to know if this sample was a large portion of the population of all first-year students at this university. You may need to use the appropriate Appendix Table to answer this question.
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