Applet Exercise What is the effect of the sample size on the sampling distribution of Y
Chapter 7, Problem 7.6(choose chapter or problem)
Applet Exercise What is the effect of the sample size on the sampling distribution of Y ? Use the applet SampleSize to complete the following. As in Exercise 7.5, the population to be sampled is approximately normally distributed with = 16.50 and = 6.03 (these values are given above the population histogram and denoted M and S, respectively). a Use the up/down arrows in the left Sample Size box to select one of the small sample sizes that are available and the arrows in the right Sample Size box to select a larger sample size. b Click the button 1 Sample a few times. What is similar about the two histograms that you generated? What is different about them? c Click the button 1000 Samples a few times and answer the questions in part (b). d Are the means and standard deviations of the two sampling distributions close to the values that you expected? [Hint: V(Y ) = 2/n.] e Click the button Toggle Normal. What do you observe about the adequacy of the approximating normal distributions?
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