# Independent sample t test: Team A vs. B

Use these parameters to solve and compare.

Team A vs B

Total of 10 A and 10 B

Results of

Team A: 7, 8, 5, 2, 3, 9, 6, 6, 7, 9

Team B: 2, 4, 4, 1, 2, 9, 3, 3, 5, 2 (better team)

- Show formula used and walk through the steps.

- State the hypotheses and identify the claim

- Find the critical values

- Compute the test values and compare

- Make the decision to reject or not reject the null hypothesis

- Summarize the results

https://brainmass.com/statistics/students-t-test/independent-sample-test-team-385118

## SOLUTION This solution is **FREE** courtesy of BrainMass!

Please see the attachments.

Hypothesis Testing Situations in the Comparison of Means

Use these parameters to solve and compare.

Team A vs. B

Total of 10 A and 10 B

Results of

Team A: 7, 8, 5, 2, 3, 9, 6, 6, 7, 9

Team B: 2, 4, 4, 1, 2, 9, 3, 3, 5, 2 (better team)

- Show formula used and walk through the steps.

- State the hypotheses and identify the claim

- Find the critical values

- Compute the test values and compare

- Make the decision to reject or not reject the null hypothesis

- Summarize the results

Answers

- State the hypotheses and identify the claim

The null hypothesis tested is

H0: There is no significant difference in the population means of Team A and Team B. (Âµ1= Âµ2)

The alternative hypothesis is

H1: The population mean of Team B is greater than that of Team A. (Âµ1> Âµ2)

Claim: Team B is better than Team A.

- Find the critical values

Critical values are obtained from the Student's t table with d.f. 18 at the significance level 0.05.

Upper critical value = 1.734063592

Rejection criteria: Reject the null hypothesis, if the calculated value of t is greater than the critical value of t at the 0.05 significance level.

- Compute the test value

For computation please consider Team B as sample 1 and Team A as sample 2.

The test statistic used is

Where

That is = 2.310603577

Therefore, = -2.612903225

- Make the decision to reject or not reject the null hypothesis

Do not reject the null hypothesis, since the calculated value of t is less than the critical value.

- Summarize the results

The sample does not provide enough evidence to support the claim that Team B is better than Team A.

Details

t Test for Differences in Two Means

Data

Hypothesized Difference 0

Level of Significance 0.05

Population 1 Sample

Sample Size 10

Sample Mean 3.5

Sample Standard Deviation 2.273030283

Population 2 Sample

Sample Size 10

Sample Mean 6.2

Sample Standard Deviation 2.347575582

Intermediate Calculations

Population 1 Sample Degrees of Freedom 9

Population 2 Sample Degrees of Freedom 9

Total Degrees of Freedom 18

Pooled Variance 5.33888889

Difference in Sample Means -2.7

t Test Statistic -2.612903225

Upper-Tail Test

Upper Critical Value 1.734063592

p-Value 0.991192671

Do not reject the null hypothesis

https://brainmass.com/statistics/students-t-test/independent-sample-test-team-385118