2 of 8 (1 complete) 113.3 T use the given statistics to complete parts (a) and (

Question

2 of 8 (1 complete) 113.3 T use the given statistics to complete parts (a) and (b) Assume that the populations ally distributed. Test whether w1 w2 at the a 0.10 level of significance are norm for the (b) Construct a 90% confidence interval about w1-w2 (an Identify the null and alternative hypotheses for this test. Find the test statistic for this hypothesis test. Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer 3 pemaining Clear All H1: HW Score: 27.5%, 2.2 of 8 p E Question Help Population 1 P 474 43 4 4.5

Explanation / Answer

Test statistic = 1.55

90% CI for the difference =(-0.335, 8.335)

Pooled-Variance t Test for the Difference Between Two Means

(assumes equal population variances)

Data

Hypothesized Difference

0

Level of Significance

0.1

Population 1 Sample

Sample Size

26

Sample Mean

47.4

Sample Standard Deviation

4.5

Population 2 Sample

Sample Size

21

Sample Mean

43.4

Sample Standard Deviation

12.2

Intermediate Calculations

Population 1 Sample Degrees of Freedom

25

Population 2 Sample Degrees of Freedom

20

Total Degrees of Freedom

45

Pooled Variance

77.4011

Standard Error

2.5812

Difference in Sample Means

4.0000

t Test Statistic

1.5497

Upper-Tail Test

Upper Critical Value

1.3006

p-Value

0.0641

Reject the null hypothesis

Confidence Interval Estimate

for the Difference Between Two Means

Data

Confidence Level

90%

Intermediate Calculations

Degrees of Freedom

45

t Value

1.6794

Interval Half Width

4.3350

Confidence Interval

Interval Lower Limit

-0.3350

Interval Upper Limit

8.3350

Pooled-Variance t Test for the Difference Between Two Means

(assumes equal population variances)

Data

Hypothesized Difference

0

Level of Significance

0.1

Population 1 Sample

Sample Size

26

Sample Mean

47.4

Sample Standard Deviation

4.5

Population 2 Sample

Sample Size

21

Sample Mean

43.4

Sample Standard Deviation

12.2

Intermediate Calculations

Population 1 Sample Degrees of Freedom

25

Population 2 Sample Degrees of Freedom

20

Total Degrees of Freedom

45

Pooled Variance

77.4011

Standard Error

2.5812

Difference in Sample Means

4.0000

t Test Statistic

1.5497

Upper-Tail Test

Upper Critical Value

1.3006

p-Value

0.0641

Reject the null hypothesis

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