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

Â

*H*
_{0}:Â
*Î¼*Â = 45
*H*
_{1}:Â
*Î¼*Â â‰ 45
rev:
10_12_2016_QC_CS-65155

Â 1.

value:

**10.00 points**

**Required information**

Â

**a.**Is this a one- or two-tailed test?

Two-tailed test

One-tailed test

**References**

**eBook & Resources**

**Multiple Choice**
Difficulty: 2
Intermediate
Learning Objective: 10-05
Conduct a test of a hypothesis about a population mean.

Check my work

Â 2.

value:

**10.00 points**

**Required information**

Â

**b.**What is the decision rule?

RejectÂ
*H*
_{0}Â ifÂ z < -2.326 or z > 2.326

RejectÂ
*H*
_{0}Â ifÂ -2.326 < z < 2.326

**References**

**eBook & Resources**

**Multiple Choice**
Difficulty: 2
Intermediate
Learning Objective: 10-05
Conduct a test of a hypothesis about a population mean.

Check my work

Â 3.

value:

**10.00 points**

**Required information**

Â

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

Â Â

Â Â Value of the test statisticÂ Â
**References**

**eBook & Resources**

**Worksheet**
Difficulty: 2
Intermediate
Learning Objective: 10-05
Conduct a test of a hypothesis about a population mean.

Check my work

Â

Â 4.

value:

**10.00 points**

**Required information**

Â

**d.**What is your decision regardingÂ
*H*
_{0}?

Fail to rejectÂ
*H*
_{0}

RejectÂ
*H*
_{0}

**References**

**eBook & Resources**

**Multiple Choice**
Difficulty: 2
Intermediate
Learning Objective: 10-05
Conduct a test of a hypothesis about a population mean.

Check my work

Â 5.

value:

**10.00 points**

**Required information**

Â

**e.**What is theÂ
*p*-value?Â
**(Round z value to 2 decimal places and finalÂ answer
to 4 decimal places.)**

Â

*Â Â p*-valueÂ Â

**Solution details:**

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This question was answered on:
*Sep 05, 2019*

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