You are commissioned to study the average amount of time that UNT students spend

Question

You are commissioned to study the average amount of time that UNT students spend studying each week. After surveying 168 students, you find a 95% confidence interval of 15.3 plusminus 2.4 hours. What is the proper interpretation of this confidence interval? (a) 95% of UNT students study between 12.9 and 17.7 hours each week. (b) There is a 95% chance that the average amount that UNT students study each week is between 12.9 and 17.7 hours. (c) If multiple people performed similar surveys and constructed their own confidence intervals, the 95% of these confidence intervals would contain the true average amount that UNT students study each week. (d) If another survey of 168 students is commissioned, we would expect 95% of these students to report studying between 12.9 and 17.7 hours per week.

Explanation / Answer

95% CI=[15.3-2.4,15.3+2.4]=[12.9,17.7]

Which means that among the 168 members,95% of them lie between 12.9 and 17.7

Relatively Option d) is correct.

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