Question

The following information applies to the questions displayed below.]

A sample of 39 observations is selected from a normal population. The sample mean is 43, and the population standard deviation is 6. Use the 0.02 significance level.

H0: μ = 45

H1: μ ≠ 45

References

10.

value:
10.00 points

Required information

Exercise 10-1 Part a

Is this a one- or two-tailed test?

One-tailed test

Two-tailed test

References

11.

value:
10.00 points

Required information

Exercise 10-1 Part b

What is the decision rule?

Reject H₀ if -2.33 < z < 2.33

Reject H₀ if z < -2.33 or z > 2.33

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :   = 45

H_a :    45

= 0.02

/ 2 = 0.02 / 2 = 0.01

Z _0.01 = +/-2.33

The decision rule is,

Reject H0 .if < -2.33 or z > 2.33