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Meaning of a Confidence Level: Study Time

APSTAT-U4BUVV

A random sample of $60$ students from a large university were asked: "How much time do you spend doing homework a night?".

A $99\%$ confidence interval was constructed for the average amount of time students spend doing homework at this university, and the result was $(.8,2.2)$ hours.

Which of the following statements is true?

A

$99\%$ of all the intervals constructed will contain the interval $(.8,2.2)$ hours.

B

About $99\%$ of all random samples will capture the population mean for the amount of time students at this university spend doing their homework.

C

About $99\%$ of all random samples will capture the sample mean for the amount of time students at this university spend doing their homework.

D

$99\%$ of the time the average amount of time students at this university spend doing homework is between $.8$ to $2.2$ hours

E

$99\%$ of students at this university spend between $.8$ to $2.2$ hours doing homework.