Question

Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2 . Samples of size 110 from Population 1 with mean 94 and standard deviation 14 and samples of size 85 from Population 2 with mean 72 and standard deviation 15 Round your answer for the standard error to

Answer 1

2.104

Explanation:

Data provided in the question:

For sample 1,

n₁ = 110

μ₁ = 94

s₁ = 14

For sample 2,

n₂ = 85

μ₂ = 72

s₂ = 15

Now,

Standard error =
`\sqrt{(s^2_1)/(n_1)+(s^2_2)/(n_2)}`

or

Standard error =
`\sqrt{(14^2)/(110)+(15^2)/(85)}`

or

Standard error = √4.43

or

Standard error = 2.104