A. A population is normally distributed, with known standard deviation, s= 32. If a random sample of size 20 is obtained

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A. A population is normally distributed, with known standarddeviation, s= 32. If a random sample of size 20 is obtained fromthis population and the mean of this sample is found to be 66,then:
1. What is the standard error of the mean for samples of thissize? (3 dp) Answer
Based on this sample, the 95% confidence interval for m is givenby:
(lower limit, upper limit) = ( __.__ , __.__ )
2. lower limit (2 dp) Answer
3.upper limit (2 dp) Answer
4.Find the width of this confidence interval.(2 dp) Answer
B. A population is normally distributed, with known standarddeviation, s=32.
If a random sample of size 80 is obtained from this populationand the mean of this sample is found to be 66, then:
1. What is the standard error of the mean for samples of thissize? (3 dp) Answer
Based on this sample, the 95% confidence interval for m is givenby:
(lower limit, upper limit) = ( __.__ , __.__ )
2. lower limit (2 dp).....
3. upper limit (2 dp) .....r
4.Find the width of this confidence interval. (2 dp) ......
Now comparing your answers from Parts A and B above, if thesample size is quadrupled, then the standard error of the mean willbe .... and the width of the 95% confidence interval for mwill be....