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# Independent sample t test: Team A vs. B

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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!

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
- 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

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!