Question

For each question, create an approximate 95% CI and then decide whether the null hypothesis should be rejected.

a.

H₀: μ = 50
x=58.4
standard error of x = 3.7
(round your answers to 1 decimal place)

The approximate 95% is ___ to __

The result of the hypothesis test is:

Reject H₀, because the null value is inside the 95% CI.

Reject H₀, because the null value is outside the 95% CI.

Fail to reject H₀, because the null value is inside the 95% CI.

Fail to reject H₀, because the null value is outside the 95% CI.

b.

H₀: μ = -2
x=-2.2
standard error of x = 0.66
(round your answers to 2 decimal place)

The approximate 95% CI for x is __ to __

The result of the hypothesis test is:

Reject H₀, because the null value is inside the 95% CI.

Reject H₀, because the null value is outside the 95% CI.

Fail to reject H₀, because the null value is inside the 95% CI.

Fail to reject H₀, because the null value is outside the 95% CI.

c.

H₀: μ₁ - μ₂ = 0
x₁ = 81862, x₂ = 87897
standard error of x₁ - x₂ = 1687

The approximate 95% CI for μ₁ - μ₂ is __ to __

The result of the hypothesis test is:

Reject H₀, because the null value is inside the 95% CI.

Reject H₀, because the null value is outside the 95% CI.  

Fail to reject H₀, because the null value is inside the 95% CI.

Fail to reject H₀, because the null value is outside the 95% CI.

Answer 1