samplin .7 Generating a Sampling Distribution. Let's illustrate the idea of a sampling distribution in the case of a very small sample from a very small population. The population is the scores of 10 students on an exam: Student 123 4 5 6 7 8 9 10 Score 94 63 81 45 72 72 65 51 75 59 The parameter of interest is the mean score in this population. The sample is an SRS of size n = 4 drawn from the population. The Simple Random Sample applet can be used to select simple random samples of four numbers between 1 and 10, corresponding to the students. (a) Make a histogram of these 10 scores. (b) Find the mean of the 10 scores in the population. This is the population mean . (c) Use the Simple Random Sample applet to draw an SRS of size 4 from this population. What are the four scores in your sample? What is their mean x? This statistic is an estimate of u. (If you prefer not to use applets, use Table B beginning at line 121 to chose an SRS of size 4 from this population.) (d) Repeat this process nine more times, using the applet (or Table B, con- tinuing on line 121, if you are not using applets). Make a histogram of the 10 values of x. You are constructing the sampling distribution of x. Is the center of your histogram close to ? How does the shape of this histogram