Question

The following information is available.

H0: μ = 48

H1: μ ≠ 48

The sample mean is 47, and the sample size is 38. The population standard deviation is 7.

Use the .05 significance level.

1.

value:
2.00 points

Required information

Is this a one- or two-tailed test?

One-tailed test

Two-tailed test

2.

value:
2.00 points

Required information

What is the decision rule?

Reject H₀ if z < -1.96 or z > 1.96

Reject H₀ if -1.96 < z < 1.96

3.

value:
2.00 points

Required information

What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Value of the test statistic

4.

value:
2.00 points

Required information

What is your decision regarding H0?

Reject H₀

Fail to reject H₀

5.

value:
4.00 points

Required information

What is the p-value? (Round z value to 2 decimal places and final answer to 4 decimal places.)

p-value

Answer 1

Solution :

= 48

= 47

= 7

n = 38

This is the two tailed test .

The null and alternative hypothesis is

H0 :   = 48

Ha : 48  

= 0.05  

Reject H0 if -1.96 < z < 1.96

Test statistic = z

= ( - ) / / n

= (47 - 48) /7 / 38

= -0.88

P (Z < -0.88 ) = 0.3788

P-value = 0 .3788

= 0.05  

0.3788< 0.05

Fail to reject H0

There is insufficient evidence to suggest that