Consider the following hypotheses: H0: = 1,600 HA: 1,600 The population is norma

Question

Consider the following hypotheses: H0: = 1,600 HA: 1,600 The population is normally distributed with a population standard deviation of 600. Compute the value of the test statistic and the resulting p-value for each of the following sample results. For each sample, determine if you can "reject/do not reject" the null hypothesis at the 10% significance level. Use Table 1. (Negative values should be indicated by a minus sign. Round intermediate calculations to 4 decimal places. Round "test statistic" values to 2 decimal places and "p-value" to 4 decimal places.)

D. = 1,550; n = 38 Test Statistic=? P-Value=? Reject or do not reject=?

Explanation / Answer

Part a

Z Test of Hypothesis for the Mean

Data

Null Hypothesis                       m=

1600

Level of Significance

0.1

Population Standard Deviation

600

Sample Size

140

Sample Mean

1740

Intermediate Calculations

Standard Error of the Mean

50.7093

Z Test Statistic

2.7608

Two-Tail Test

Lower Critical Value

-1.6449

Upper Critical Value

1.6449

p-Value

0.0058

Reject the null hypothesis

Part b

Z Test of Hypothesis for the Mean

Data

Null Hypothesis                       m=

1600

Level of Significance

0.1

Population Standard Deviation

600

Sample Size

260

Sample Mean

1740

Intermediate Calculations

Standard Error of the Mean

37.2104

Z Test Statistic

3.7624

Two-Tail Test

Lower Critical Value

-1.6449

Upper Critical Value

1.6449

p-Value

0.0002

Reject the null hypothesis

Part c

Z Test of Hypothesis for the Mean

Data

Null Hypothesis                       m=

1600

Level of Significance

0.1

Population Standard Deviation

600

Sample Size

38

Sample Mean

1450

Intermediate Calculations

Standard Error of the Mean

97.3329

Z Test Statistic

-1.5411

Two-Tail Test

Lower Critical Value

-1.6449

Upper Critical Value

1.6449

p-Value

0.1233

Do not reject the null hypothesis

Part d

Z Test of Hypothesis for the Mean

Data

Null Hypothesis                       m=

1600

Level of Significance

0.1

Population Standard Deviation

600

Sample Size

38

Sample Mean

1550

Intermediate Calculations

Standard Error of the Mean

97.3329

Z Test Statistic

-0.5137

Two-Tail Test

Lower Critical Value

-1.6449

Upper Critical Value

1.6449

p-Value

0.6075

Do not reject the null hypothesis

Z Test of Hypothesis for the Mean

Data

Null Hypothesis                       m=

1600

Level of Significance

0.1

Population Standard Deviation

600

Sample Size

140

Sample Mean

1740

Intermediate Calculations

Standard Error of the Mean

50.7093

Z Test Statistic

2.7608

Two-Tail Test

Lower Critical Value

-1.6449

Upper Critical Value

1.6449

p-Value

0.0058

Reject the null hypothesis

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.