Question

Consider the following results for two independent random samples taken from two populations.

Sample 1:

n1 = 40

x̅1 = 13.9

σ1 = 2.3

Sample 2:

n2 = 30

x̅2 = 11.1

σ2 = 3.4

What is the point estimate of the difference between the two population means? (to 1 decimal)

Provide a 90% confidence interval for the difference between the two population means (to 2 decimals).

Provide a 95% confidence interval for the difference between the two population means (to 2 decimals).

Answer 1

Part a)

Part b)

Confidence interval :-

DF = 48

Lower Limit =
Lower Limit = 1.5934
Upper Limit =
Upper Limit = 4.0066
90% Confidence interval is ( 1.59 , 4.01)

Part c)

Confidence interval :-



DF = 48


Lower Limit =
Lower Limit = 1.3535
Upper Limit =
Upper Limit = 4.2465
95% Confidence interval is ( 1.35 , 4.25 )