A random sample of 30 students at a high school was allowed to play a popular cell phone game for an hour in order to score as many points as possible. The sample yielded an average score of 375 and a standard deviation of 100. The resulting 90% confidence interval is 375 +31. Which of the following statements best summarizes the meaning of this confidence interval? O Approximately 90% of the students at a high school will have an average score between 344 and 406 points. O If we repeated this procedure many times, about 10% of the confidence intervals constructed will fail to include the mean number of points scored by all students at a high school. O Approximately 10% of all students at the high school will score more than 406 points. If we repeated this procedure many times, the average number of points scored by our sample of 30 students will be between 344 and 406 points approximately 90% of the time.

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A random sample of 30 students at a high school was
allowed to play a popular cell phone game for an hour in
order to score as many points as possible. The sample
yielded an average score of 375 and a standard deviation
of 100. The resulting 90% confidence interval is 375 ±31.
Which of the following statements best summarizes the
meaning of this confidence interval?
O Approximately 90% of the students at a high school
will have an average score between 344 and 406
points.
O If we repeated this procedure many times, about
10% of the confidence intervals constructed will fail
to include the mean number of points scored by all
students at a high school.
O Approximately 10% of all students at the high
school will score more than 406 points.
If we repeated this procedure many times, the
average number of points scored by our sample of
30 students will be between 344 and 406 points
approximately 90% of the time.
Transcribed Image Text:A random sample of 30 students at a high school was allowed to play a popular cell phone game for an hour in order to score as many points as possible. The sample yielded an average score of 375 and a standard deviation of 100. The resulting 90% confidence interval is 375 ±31. Which of the following statements best summarizes the meaning of this confidence interval? O Approximately 90% of the students at a high school will have an average score between 344 and 406 points. O If we repeated this procedure many times, about 10% of the confidence intervals constructed will fail to include the mean number of points scored by all students at a high school. O Approximately 10% of all students at the high school will score more than 406 points. If we repeated this procedure many times, the average number of points scored by our sample of 30 students will be between 344 and 406 points approximately 90% of the time.
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