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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

    © BrainMass Inc. brainmass.com December 24, 2021, 9:30 pm ad1c9bdddf
    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. (µ1= µ2)
    The alternative hypothesis is
    H1: The population mean of Team B is greater than that of Team A. (µ1> µ2)
    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!

    © BrainMass Inc. brainmass.com December 24, 2021, 9:30 pm ad1c9bdddf>
    https://brainmass.com/statistics/students-t-test/independent-sample-test-team-385118

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