Wanted to get see if my solution is correct.

1)Calculate a 95% and 99% population confidence interval for the following random data set. Note: this is a sample. Show your steps including the mean, z-score, sample standard deviation, and standard error that you used. No units for this data.

Data	12	10	18	16	11	10	9	17	6	13
Data	10	20	21	24	18	17	19	12	11	10

Data set 1

n = 10

Mean (x) = 122/10 = 12.2

Standard deviation = 3.82

Confidence interval = 95%

Z score for 95% confidence interval = 1.960

Confidence interval CI =xz

CI =12.2 1.960

CI = 12.2 2.37

Z score for 99% confidence interval = 2.576

Confidence interval CI =xz

CI =12.22.576

CI = 12.2 3.11

95% population confidence interval =12.2 2.37

99%population confidence interval =12.2 3.11

Data set 2

n = 10

Mean (x) = 162/10 = 16.2

Standard deviation = 5.07

Confidence interval = 95%

Z score for 95% confidence interval = 1.960

Confidence interval CI =xz

CI =16.2 1.960

CI = 16.2 3.14

Z score for 99% confidence interval = 2.576

Confidence interval CI =xz

CI =16.2 2.576

CI = 16.2 4.13

95% population confidence interval =16.2 3.14

99%population confidence interval =16.2 4.13