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CI on the Mean, Variance Known A normal distribution has known population mean 50 and a variance of 4. Probabilities where the sample variance - S? is greater than or equal to 7.50, and less than or equal to 2.50 are given below for sample sizes 16, 32 and 48. n= 16 n= 32 n= 48 P(S?>= 7.50) 0.0953 0.0364 0.0148 P(S? <= 2.50) 0.0577 0.0092 0.0016 Compare the results for the probabilities that the sample variance is greater than or equal to 7.44 and less than or equal to 2.56, with increased sample size. O a. The probabilities decrease as n increase. As n increases, the sample variances should deviate the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases O b. The probabilities decrease as n increase. As n increase, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases O. The probabilities increase as n increase. As n increases, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases

CI on the Mean, Variance Known A normal distribution has known population mean 50 and a variance of 4. Probabilities where the sample variance - S? is greater than or equal to 7.50, and less than or equal to 2.50 are given below for sample sizes 16, 32 and 48. n= 16 n= 32 n= 48 P(S?>= 7.50) 0.0953 0.0364 0.0148 P(S? <= 2.50) 0.0577 0.0092 0.0016 Compare the results for the probabilities that the sample variance is greater than or equal to 7.44 and less than or equal to 2.56, with increased sample size. O a. The probabilities decrease as n increase. As n increases, the sample variances should deviate the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases O b. The probabilities decrease as n increase. As n increase, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases O. The probabilities increase as n increase. As n increases, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases

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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CI on the Mean, Variance Known A normal distribution has known population mean 50 and a variance of 4. Probabilities where the sample variance - S2 is greater than or equal to 7.50, and less than or equal to 2.50 are given below for sample sizes 16, 32 and 48. n = 16 n = 32 n = 48 P(S² >= 7.50) 0.0953 0.0364 0.0148 P(S² <= 2.50) 0.0577 0.0092 0.0016 Compare the results for the probabilities that the sample variance is greater than or equal to 7.44 and less than or equal to 2.56, with increased sample size. O a. The probabilities decrease as n increase. As n increases, the sample variances should deviate the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases O b. The probabilities decrease as n increase. As n increase, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases O. The probabilities increase as n increase. As n increases, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases O d. The probabilities increase as n increase. As n increases, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance increases
Transcribed Image Text:CI on the Mean, Variance Known A normal distribution has known population mean 50 and a variance of 4. Probabilities where the sample variance - S2 is greater than or equal to 7.50, and less than or equal to 2.50 are given below for sample sizes 16, 32 and 48. n = 16 n = 32 n = 48 P(S² >= 7.50) 0.0953 0.0364 0.0148 P(S² <= 2.50) 0.0577 0.0092 0.0016 Compare the results for the probabilities that the sample variance is greater than or equal to 7.44 and less than or equal to 2.56, with increased sample size. O a. The probabilities decrease as n increase. As n increases, the sample variances should deviate the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases O b. The probabilities decrease as n increase. As n increase, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases O. The probabilities increase as n increase. As n increases, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases O d. The probabilities increase as n increase. As n increases, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance increases
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