H1: The mean of sample A is significantly different than the mean of sample B. S

Question

1. H1: The mean of sample A is significantly different than the mean of sample B. Sample A: 59 48 74 62 87 73 Sample B: 53 67 77 57 93 79 Use a two-tailed t-test of independent samples for the above hypothesis and data. What is the p-value? (Answer to 3 decimal places) Is the answer 0.663? Or 0.653???

1. H1: The mean of sample A is significantly different than the mean of sample B. Sample A: 59 48 74 62 87 73 Sample B: 53 67 77 57 93 79 Use a two-tailed t-test of independent samples for the above hypothesis and data. What is the p-value? (Answer to 3 decimal places) Is the answer 0.663? Or 0.653???

H1: The mean of sample A is significantly different than the mean of sample B. Sample A: 59 48 74 62 87 73 Sample B: 53 67 77 57 93 79 Use a two-tailed t-test of independent samples for the above hypothesis and data. What is the p-value? (Answer to 3 decimal places) Is the answer 0.663? Or 0.653??? H1: The mean of sample A is significantly different than the mean of sample B. Sample A: 59 48 74 62 87 73 Sample B: 53 67 77 57 93 79 Use a two-tailed t-test of independent samples for the above hypothesis and data. What is the p-value? (Answer to 3 decimal places)

Explanation / Answer

                Is the answer 0.663? Or 0.653???

Answer: 0.653

Excel OUTPUT

Pooled-Variance t Test for the Difference Between Two Means

(assumes equal population variances)

Data

Hypothesized Difference

0

Level of Significance

0.05

Population 1 Sample

Sample Size

6

Sample Mean

67.1667

Sample Standard Deviation

13.6736

Population 2 Sample

Sample Size

6

Sample Mean

71

Sample Standard Deviation

14.9666

Intermediate Calculations

Population 1 Sample Degrees of Freedom

5

Population 2 Sample Degrees of Freedom

5

Total Degrees of Freedom

10

Pooled Variance

205.4833

Standard Error

8.2761

Difference in Sample Means

-3.8333

t Test Statistic

-0.4632

Two-Tail Test

Lower Critical Value

-2.2281

Upper Critical Value

2.2281

p-Value

0.6532

Do not reject the null hypothesis

Pooled-Variance t Test for the Difference Between Two Means

(assumes equal population variances)

Data

Hypothesized Difference

0

Level of Significance

0.05

Population 1 Sample

Sample Size

6

Sample Mean

67.1667

Sample Standard Deviation

13.6736

Population 2 Sample

Sample Size

6

Sample Mean

71

Sample Standard Deviation

14.9666

Intermediate Calculations

Population 1 Sample Degrees of Freedom

5

Population 2 Sample Degrees of Freedom

5

Total Degrees of Freedom

10

Pooled Variance

205.4833

Standard Error

8.2761

Difference in Sample Means

-3.8333

t Test Statistic

-0.4632

Two-Tail Test

Lower Critical Value

-2.2281

Upper Critical Value

2.2281

p-Value

0.6532

Do not reject the null hypothesis

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