51% 11:27 PM straighterline.acrobatiq.com The next two questions refer to the fo

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51% 11:27 PM straighterline.acrobatiq.com 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 calculate the average number of daily study hours for the sample (x-bar). Pictured below (in scrambled order) are three histograms: 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 3 6 9 12 15 18 21 24

Explanation / Answer

we see that the spread of the 2 histogram is maximum as it goes upto 22
Howeevr histogram 1 and 3 have a max value of upto 9 and 6
Hence histgram 2 is population distribution

This leaves us with choice C and D

n = 5 means that the histogram would be more dense as we could extract more samples from the data , thus the max value of the x axis would be relatively high as compared to bin of 30 that tends to compress the values together.

hence n = 5 should be histogram 3 and n = 30 should be 1

so D

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