Generating a sampling distribution. Lets illustrate the idea of a samplingdistribution

Chapter 0, Problem 11.6

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Generating a sampling distribution. Lets illustrate the idea of a samplingdistribution in the case of a very small sample from a very small population. Thepopulation is the scores of 10 students on an exam:Student 0123456789Score 82 62 80 58 72 73 65 66 74 62The parameter of interest is the mean score in this population. The sample isan SRS of size n = 4 drawn from the population. Because the students arelabeled 0 to 9, a single random digit from Table B chooses one student for thesample.(a) Find the mean of the 10 scores in the population. This is the populationmean .(b) Use the first digits in row 116 of Table B to draw an SRS of size 4 from thispopulation. What are the four scores in your sample? What is their mean x? Thisstatistic is an estimate of .(c) Repeat this process 9 more times, using the first digits in rows 117 to125 of Table B. Make a histogram of the 10 values of x. You are constructing the sampling distribution of x. Is the center of your histogramclose to ?