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The following information applies to the questions displayed below.] A sample of

ID: 3311025 • Letter: T

Question

The following information applies to the questions displayed below.]

A sample of 47 observations is selected from a normal population. The sample mean is 27, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.10 significance level.

rev: 03_02_2016_QC_CS-43090

1.

value:
10.00 points

Required information

Two-tailed test

One-tailed test

References

eBook & Resources

Multiple ChoiceDifficulty: 2 IntermediateLearning Objective: 10-05 Conduct a test of a hypothesis about a population mean.

2.

value:
10.00 points

Required information

Reject H0 when z > 1.282

Reject H0 when z 1.282

References

eBook & Resources

Multiple ChoiceDifficulty: 2 IntermediateLearning Objective: 10-05 Conduct a test of a hypothesis about a population mean.

3.

value:
10.00 points

Required information

References

eBook & Resources

WorksheetDifficulty: 2 IntermediateLearning Objective: 10-05 Conduct a test of a hypothesis about a population mean.


4.

value:
10.00 points

Required information

Reject H0

Fail to reject H0

References

eBook & Resources

Multiple ChoiceDifficulty: 2 IntermediateLearning Objective: 10-05 Conduct a test of a hypothesis about a population mean.

5.

value:
10.00 points

Required information

A sample of 47 observations is selected from a normal population. The sample mean is 27, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.10 significance level.

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 26
HA : > 26
Standard deviation = 3

Hypothesis test results:

Hence,

a) One Tailed

b) Reject H0 when z > 1.282

c) Test statistic = 2.29

d) Reject H0

e) p - Value = 0.0112

Mean n Sample Mean Std. Err. Z-Stat P-value 47 27 0.43759497 2.2852182 0.0112