Assume that you have a sample of n1 9 with the sample mean

Assume that you have a sample of n1 = 9, with the sample mean X1 = 47, and a sample standard deviation of S1 = 7, and you have an independent sample of N_2 = 16 from another population with a sample mean of X2 = 30, and the sample standard deviation S2 = 5 Construct a 95% confidence interval estimate of the population mean difference between mu1 and mu2. LE mu1 - mu2 LE (Type an integer or decimal rounded to two decimal places as needed )

Solution

1 Sample Degrees of Freedom

8

2 Sample Degrees of Freedom

15

Total Degrees of Freedom

23

Pooled Variance

33.3478

Standard Error

2.4061

Difference in Sample Means

17.0000

Confidence Level

95%

Degrees of Freedom

23

t Value

2.0687

Interval Half Width

4.9775

Confidence Interval

Interval Lower Limit

12.02

Interval Upper Limit

21.98

95% CI =(12.02, 21.98)

1 Sample Degrees of Freedom	8
2 Sample Degrees of Freedom	15
Total Degrees of Freedom	23
Pooled Variance	33.3478
Standard Error	2.4061
Difference in Sample Means	17.0000