A random sample of 25 students in an Introductory Statistics course at a particu

Question

A random sample of 25 students in an Introductory Statistics course at a particular university were asked how many hours of sleep they got last night. A 95% confidence interval for the mean number of hours of sleep all Introductory Statistics students at this university got last night was (46,62). The researcher compared this confidence interval to a 95% confidence interval for the mean number of hours of sleep all other students at this university not taking Introductory Statistics got last night, which was (6.7,7.5). Which of the following statements is true? Choose the correct answer below 0 A. Because the confidence intervals do not overlap, it does not appear that non-introductory Statistics students at this university got more sleep last night, on average, than Introductory Statistics students at this university. B. Because the confidence intervals do not overlap, a comparison between the means of two groups cannot be made ° C. Because the confidence intervals do not overlap, it appears that non-Introductory Statistics students at this university got more sleep last night, on average, than Introductory Statistics students at this university. O D. Because the confidence intervals do not overlap, it appears that all non-Introductory Statistics students at this university got more sleep last night than all of the Introductory Statistics students at this university.

Explanation / Answer

The given confidence intervals do not overlap and hence, we can conclude that there is a significant difference and students who are not taking intoductory Statistics got more sleep last night, on average.

Option C is correct.

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