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A St. Paul Saints assistant manager claims that mean attendance for Wednesday games is smaller than the mean attendance for Friday games. Two surveys are conducted. Of the 22 Wednesday games surveyed, the mean attendance was 3305 with a standard deviation of 958 . Of the 128 Friday games surveyed, the mean attendance was 3734 with a standard deviation of 821 . Test the claim at the $α=0.05$ significance level. a. Have the requirements for this test been satisfied? Yes No (still complete the test anyway, for practice) H - Hypotheses b. The null and alternative hypotheses are $H_{0}:μ_{1}=μ_{2}H_{a}:μ_{1}<μ_{2} H_{0}:μ_{1}=μ_{2}H_{a}:μ_{1}>μ_{2} H_{0}:μ_{1}=μ_{2}H_{a}:μ_{1}=μ_{2} $ c. The claim corresponds to the d. The test is e. Identify the significance level. $α=$ D - Distribution and Data f. Identify the sample sizes. $n_{1}=n_{2}= $ 3. The appropriate distribution for this test is the
T - Test statistic and $p$-value i. Calculate the test statistic. Round to 2 decimal places. $zort=$ j. Calculate p-value. Round to 4 decimal places. $p−value=$ $V $ - Verdict k. Make a decision about the null hypothesis. Reject the null hypothesis (and support the alternative hypothesis). Fail to reject the null hypothesis (and fail to support the alternative hypothesis). 1. State your conclusion about the original claim. There is sufficient evidence to support the claim. There is not sufficient evidence to support the claim. The results are inconclusive. There is sufficient evidence to reject the claim. There is not sufficient evidence to reject the claim. The results are inconclusive.

Given:

Summaries of 2 surveys conducted having “Wednesday games surveyed number was 22, its Mean atte...

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