The next two questions refer to the following information: To estimate the mean

Question

The next two questions refer to the following information: To estimate the mean number of daily study hours in the population of all the students at a large public university, a researcher plans to randomly sample students from this population and then ca below (in scrambled order) are three histograms: culate the average number of daily study hours for the sample (x-bar) Pictured The distribution of study hours in the population of all students in the university The sampling distribution x-bar when samples of size n-5 are chosen from the population The sampling distribution x-bar when samples of size n-30 are chosen from the population Histogram 1 400 300 200 100 0 36 9 12 15 18 24

Explanation / Answer

As sample size increases , the distribution tend to normal
and with less variance

hence
histogram 1 - sample size 30
histogram 2 - population
histrogram 3 - sample size 5

hence option D) is correct

observe histogram 2
mean tend to be 3
can also be check by other histograms

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