STAT O Take a Ted Test: Week 6 Exam This Question: 3 pts This Test: 100 pts poss

Question

STAT O Take a Ted Test: Week 6 Exam This Question: 3 pts This Test: 100 pts possible Tre mean of the dstrit don of sample means is me standard donatinofthedsttution of sample means is (Type an integer dornal rounded to the nearest tenth as noded ) b. If the sample size is n- 144, tind the mean and standard deviation of the distribution of sample means The mean of the distribution of sample means s The standard deviten ofte distrbution of sample rmens»D (Type an irleger or decimal roundod to the nearest tonth as neoded ) c. Why is the standard deviation in part a different from the standard deviation in part b? Choose the correct answer below O A. With smalor sample sizes (as in part a), the means tond to O B. Wh smallor sample sizes (as in part a), the moans tond to be closer together, so they have lkess variation, which results in a smallor e further apart, so they have mose variation, which results in a smaller standard deviation O C. With largor sample sizes (as in part b), the means tend to be further O D. With larger sample sizes (as in part b), the means tend to be closer together, so they have less variation, which results in a smaler standard apart, so they have more variation, which results in a bigger standard doviation

Explanation / Answer

a. Mean of the distribution of the sample mean = 95

Standard deviation of the distribution of the sample mean = 15/sqrt(36) = 2.5

b. Mean of the distribution of the sample mean = 95

Standard deviation of the distribution of the sample mean = 15/sqrt(144) = 1.25

c. With larger sample sizes ( as in part b), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation.

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