Question

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

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

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

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.

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