Question

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

a.

H₀: μ = 50
x=52.1
standard error of x = 3.3
(round your answers to 1 decimal place)

The approximate 95% CI for μ is _________ to _________.

The result of the hypothesis test is what?

( ) 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=-2.44
standard error of x = 0.76
(round your answers to 2 decimal place)

The approximate 95% CI for x is _________ to _________ .

The result of the hypothesis test is what?

( ) 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 = 80443, x₂ = 91398
standard error of x₁ - x₂ = 1710

The approximate 95% CI for μ₁ - μ₂ is _________ to _________ .

The result of the hypothesis test is what?

( ) 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