Question

Consider the following hypotheses:

H₀: μ = 110

H_A: μ ≠ 110

  

The population is normally distributed with a population standard deviation of 63. Use Table 1.

   

a.	Use a 1% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.)

   

Critical value(s)

±

   

b-1.	Calculate the value of the test statistic with x−x− = 133 and n = 80. (Round your answer to 2 decimal places.)

   

Test statistic

   

b-2.

What is the conclusion at α = 0.01?

	Do not reject H0 since the value of the test statistic is smaller than the critical value.
	Do not reject H0 since the value of the test statistic is greater than the critical value.
	Reject H0 since the value of the test statistic is smaller than the critical value.
	Reject H0 since the value of the test statistic is greater than the critical value.

   

c.	Use a 10% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.)

     

Critical value(s)

±

   

d-1.	Calculate the value of the test statistic with x−x− = 98 and n = 80. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

   

Test statistic

   

d-2.

What is the conclusion at α = 0.10?

	Reject H0 since the value of the test statistic is not less than the negative critical value.
	Reject H0 since the value of the test statistic is less than the negative critical value.
	Do not reject H0 since the value of the test statistic is not less than the negative critical value.
	Do not reject H0 since the value of the test statistic is less than the negative critical value.

Answer 1

a)

Critical value(s) =-/+ 2.58

b-1)

test statistic =3.27

b-2)

Reject H₀ since the value of the test statistic is greater than the critical value.

c)

  Critical value(s) = -/+ 1.64

d-1)

test stat z = '(x̄-μ)*√n/σ=

-1.70

d-2)

Reject H₀ since the value of the test statistic is less than the negative critical value.