1. Compute the mean Au, and standard deviation or of the sampling distribution o
ID: 3179113 • Letter: 1
Question
1. Compute the mean Au, and standard deviation or of the sampling distribution of the sample mean when you plan to take an SRS of size 49 from a population with mean 420 and standard deviation Fill in the blank (Give answers to whole numbers): 1) 2) or Book Answer 1 Answer 2 2. Compute the mean and standard deviation of the sampling distribution of the sample mean when you plan to take an SRS of size 49 from a population with mean 420 and standard deviation 21. Now repeat the calculations for a sample size of 441. Explain the effect of the increase on the sample mean and standard deviation. eBook As the sample size increases, the standard deviation of the distribution of the sample mean decreases and the mean remains unchanged. O As the sample size increases, the standard deviation of the distribution of the sample mean increases and the mean remains unchanged. O As the sample size increases, the standard deviation of the distribution of the sample mean remains unchanged, and the mean gets further away from the population mean. O Generally, the mean and the standard deviation of the distribution of the sample mean are not affected by the sample size.Explanation / Answer
1) mean = 420 , std. deviation = ( 21/ sqrt(49)) = 3
2) As the sample size increases , the standard deviation of the distribution of sample mean decreases and the mean remains unchanged.
Answer is option a)
3) Z value at 95% confidence interval = 1.96
CI = mean + / - z * Se
= 185 + / - 1.96 * ( 70 / sqrt(49))
= (165.4 , 204.6) = (165 , 205)
Answer is option b)
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