Question

0.34M polnts I Previous Answers DevoreStard 3 E.021 The desired percentage of Sio in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production faclity, 16 independently obtained samples are analyzed, Suppose that the percentage at SiO2 in sample is normally distributed with ơ-0.32 and that x 5.22. (Le -0.05.) My Notes AskYour (a) Does this indicate condusively that the true average percentage differs tram 5.5 State the appropriate rull and alternative hypothess. Ho: μ-5.5 Ha: μ < 5.5 H0: μ-5.5 Ho: 5.5 Calculate the test statistic and determine the P valuc. (Round your test statistic to two docimal places and your P value to four decimal places.) value- State the condusion in the problem context O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage. O Reject the null hypothesis. There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage. Do not reject the null hypothesis, There is sufficient evidence to conclude that the true average percentage differs from the desired percentage. Reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage. b If the true average percentage is μ-5.6 and a level α-O 01 test based on n-lfis used, what is the probability of detecting this departure from Ho? Round your answer to four deurnal places. (c) what value af n is required to satisfy α-0.01 and 5.6) = 0.017 (Round your answer up ta the next whole number. samples

Answer 1

0.32 P-value 10-0002-1 value oco0 2522-3.6 ぜ. (익-32 9 ar ㄧ泅 (C) h . 2 3387 O.09