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Fill in the blank The tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases. The V tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.

Fill in the blank The tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases. The V tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Fill in the blank The tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases. The V tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
Transcribed Image Text:Fill in the blank The tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases. The V tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
A pediatrician has three patients with measles and they are ages 3, 5, and 10. ASsume that samples of size n=2 are randomly selected with replacement from the population of 3, 5, and 10. Listed below are the nine different possible samples. Complete parts ) through (d) below. 3,3 3,5 3,10 5,3 5.5 5,10 10.3 10,5 10,10 O a. Find the value of the population variance o. o= (Round to one decimal place as needed.) b. Find the variance of each of the nine samples and then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. Probability (Type integers or simplified fractions. Use ascending order of the sample variances.) c. Find the mean of the sampling distribution of the sample variance. The mean is- (Round to one decimal place as needed.) d. Based on the preceding results, is the sample variance an unbiased estimator of the population variance? Why or why not? O A. The sample variances do not target the population variance. Sample variances are unbiased estimators of population variances O B. The sample variances appear to target the population variances. Sample variances are unbiased estimators of population variances. OC. The sample variances do not target the population variance. Sample variances are not unbiased estimators of population variances. O D. The sample variances appear to target the population variance. Sample variances are not unbiased estimators of population variances
Transcribed Image Text:A pediatrician has three patients with measles and they are ages 3, 5, and 10. ASsume that samples of size n=2 are randomly selected with replacement from the population of 3, 5, and 10. Listed below are the nine different possible samples. Complete parts ) through (d) below. 3,3 3,5 3,10 5,3 5.5 5,10 10.3 10,5 10,10 O a. Find the value of the population variance o. o= (Round to one decimal place as needed.) b. Find the variance of each of the nine samples and then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. Probability (Type integers or simplified fractions. Use ascending order of the sample variances.) c. Find the mean of the sampling distribution of the sample variance. The mean is- (Round to one decimal place as needed.) d. Based on the preceding results, is the sample variance an unbiased estimator of the population variance? Why or why not? O A. The sample variances do not target the population variance. Sample variances are unbiased estimators of population variances O B. The sample variances appear to target the population variances. Sample variances are unbiased estimators of population variances. OC. The sample variances do not target the population variance. Sample variances are not unbiased estimators of population variances. O D. The sample variances appear to target the population variance. Sample variances are not unbiased estimators of population variances
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