P(S²>= 7.50) 0.0953 0.0364 0.0148 P(S? <= 2.50) 0.0577 0.0092 0.0016 re the results for the probabilities that the sample variance is greater than or equal to 7.44 and less equal to 2.56, with increased sample size. e probabilities increase as n increase. As n increases, the sample variances should approach the population variance elihood of obtaining a sample variance greater or smaller than the population variance increases e probabilities increase as n increase. As n increases, the sample variances should approach the population variance elihood of obtaining a sample variance greater or smaller than the population variance decreases e probabilities decrease as n increase. As n increase, the sample variances should approach the population variance. elihood of obtaining a sample variance greater or smaller than the population variance decreases e probabilities decrease as n increase. As n increases, the sample variances should deviate the population variance. elihood of obtaining a sample variance greater or smaller than the population variance decreases

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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 - 5? 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 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
O b. 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
OC. 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 d. 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
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 - 5? 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 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 O b. 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 OC. 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 d. 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
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