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 Score 1 2 3 4 5 6 7 8 9 10 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 This statistic is an estimate of 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 12