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

Answer:

2.104

Step-by-step 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 = $\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}$

or

Standard error = $\sqrt{\frac{14^2}{110}+\frac{15^2}{85}}$

or

Standard error = √4.43

or

Standard error = 2.104