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(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. a. The probabilities decrease as n increase. Asn 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 b. The probabilities increase as n increase. As n increases, the sample variances

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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(S? <= 2.50)
0.0577
0.0092
0.0016
Compare the results
than or equal to 2.56, with increased sample size.
he probabilities
sample variance is greater than or equal to 7.44 and less
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
b. The probabilities increase as n increase. As n increases, the sample variances
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(S? <= 2.50) 0.0577 0.0092 0.0016 Compare the results than or equal to 2.56, with increased sample size. he probabilities sample variance is greater than or equal to 7.44 and less 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 b. The probabilities increase as n increase. As n increases, the sample variances
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