Question

The Houston Astros finished the 2017 baschall season (prior to the Workd Series) with batting averages (for the players who went to bat) shown in the histogram below. We take these data-these statistics to be a measure of their perfonmance, and use that performance as an estimate of their actual ability Only I1 players have batoed for the Astros 3) Suppose we are testing the hypotheses Ho: μ-70 vs. HOP > 70. Of the folloang sample means, which one will have the largest P-value (Hdraw a sampling distribution model of ) A) X 70 B-7 E)8-69 3Practice for Exam 2 Past exam 2, Fall 2017) Or. Liang 4) Suppose researchers randomly select a sample to test the hypotheses: Ho: μ-65 versus Ha-μ * 65. If the researchers had collected 100 random samples each of size 30 and tested the hypothesis with each sample, which of the following is the best interpretation of the significance level-005 A) I 1-65 is really true, then for approximately 5 of the samples they will fail to reject the ll hypothesis and for approximately 95 of the samples they will reject the null hypothesis. B) If-65 is really true, then for approximately 95 of the samples they will fail to reject the nall hypothesis and for approximately 5 of the samples they will reject the null hypothesis If u6 is really true, for approximately 3 of the samples they will fail to reject the nul hypothesis and for approximately 95 of the samples they will reject the null hypothesis D) Ifμ * 65 is really true, then for appruximately 95 of the samples they will fail to reject the nall hypothesis and for approximately 5 of the samples they will reject the null hypothesis. E) We cannot say unless we are given the true value ofμ when His true.

Answer 1

3)

A)

$\bar{x}=70$ will have p-value =1 as t-score = 0.

4)

B)

If my =65 is really true then for approximately 95% samples they will fail to reject the null hupohypoth and for approximately 5% of samples they will reject the null hypothesis.

Significance level 5% means we are 95% confident about sample parameter.