Question

H₀: μ = -2
x=-2.48
standard error of x = 0.64

(round your answers to 2 decimal place)

The approximate 95% CI for x is  to (______, ________)

The result of the hypothesis test is:

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

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

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

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

Answer 1

Solution:

Given:

Null hypothesis: H₀: μ = -2

Sample mean = = -2.48

Standard error = SE = 0.64

95% confidence interval is,

( - SE , + SE) = (-2.48-0.64 , 2.48+0.64)

( - SE , + SE) = (-3.73 , -1.23)

The approximate 95% CI for μ is (-3.73 , -1.23)

The result of the hypothesis test is:

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

Done