Question

You may need to use the appropriate appendix table or technology to answer this question.

The following results come from two independent random samples taken of two populations.

Sample 1	Sample 2
n1 = 50	n2 = 25
x1 = 13.6	x2 = 11.6
σ1 = 2.3	σ2 = 3

(a)

What is the point estimate of the difference between the two population means? (Use

x₁ − x₂.)

(b)

Provide a 90% confidence interval for the difference between the two population means. (Use

x₁ − x₂.

Round your answers to two decimal places.)

to

(c)

Provide a 95% confidence interval for the difference between the two population means. (Use

x₁ − x₂.

Round your answers to two decimal places.)

to

Answer 1

nso D25 i = 2.3 0 = 3 two pop? mean a) Toint estimate of differncc ish ( - ) (18.6 - 11. 6) = 2 b) a = 1-confidence l-o.90 = 0.10 12.37² (3)2 = 0.6825 c) 25 ME20.08 * S. E le (1G45) C0.6825) HE= 1.1227 ( H.E - 2 + M. E) 10.8773), [3-1227]) 2.1-confidence & -ogs = 0.05 241 70.02s 1.96 ME S. Ex n Zours = (0.6825 ) (1.96). ME = 1.3377 (0,4-ME, P + E) 10.6623 3.3877)