Question

Quiz: Chapter 9 Review Quiz Submit Quiz This Question: 1 pt 41 of 8(0 complete) This Quiz: 8 pls possilb Question He lp Consider the following hypotheses and sample data, and then complete parts a and b below us㎎ α:001 H1 μ>17 21 21 12 20 21 22 13 19 18 14 a) What conclusion should be drawn? Determine the critical value(s). The crtical value(s) is(are) □ (Round to three decimal places as needed. Use a comma to separate answers as needed) Determine the lest statistic, Round to two decimal places as needed.) What conclusion should be drawn? ○ A. Reged HO There is not suttaent evidence to condude that ga» 17 ○ B. Reject Ho There is sufficient evidence to conclude that μ > 17 O c. Do not reject Ho There is not sufficient evidence to conclude that μ > 17 D. Do not reject Hn There is sufficient evidence to conclude that μ > 17. Click to select your answer(s)

Answer 1

Question (a)

$\bar x$ = 18.1, n = 10

So, df = n-1 = 9

$\alpha$ = 0.01,

s = 3.725

Then the critical value, $t_{\alpha, df} = t_{0.01, 9} = 2.821$ . There is only one critical value. (Ans: 1)

Test statistic,

$t_0 = \frac{\bar x - \mu}{s / \sqrt n} = \frac{18.1 - 17}{3.725 / \sqrt {9}} = 0.89$ (Ans: 2)

As t0 < 2.821, We do not reject H0: There is not sufficient evidence to conclude $\mu$ > 17. (Option C, Ans: 3)

** If the answers do not match please comment.