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A survey of undergraduates at NCSU asked a random sample of 80 students about th

ID: 3170502 • Letter: A

Question

A survey of undergraduates at NCSU asked a random sample of 80 students about the amount they had spent on textbooks (in dollars) during the current term. The 95% confidence interval created from this data was $350 ± $40. This interval indicates:

Select all that apply.

Select one or more:

That the average of all undergraduate students at this university must be $350.

The standard deviation of the sample is about 5% smaller than the population standard deviation.

That if we take many samples from this population 95% of them will have a sample mean between $310 and $390.

The parent population is skewed and thus 5% of the students spent less than $310 or greater than $390 on textbooks.

That 95% of all undergraduate students at this university spent between $310 and $390 on textbooks this term.

That $40 is 95% of the true average for all undergraduate students.

The average of the 80 students sampled is definitely between $310 and $390.

We believe that the average for all NCSU undergraduate students is between $310 and $390.

We are 95% confident that the average for the 80 students sampled is between $310 and $390.

Explanation / Answer

Solution:

The average of the 80 students sampled is definitely between $310 and $390

We are 95% confident that the average for the 80 students sampled is between $310 and $390.

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