11.Which of the following is the correct statement for alternative hypothesis? A. = 90 B. >= 90 C. > 90 D. 90

12.In another test, Jefri is curious to whether the proportion of his classmates who play Valorant is lower than 0.5. Which of the following is the correct statement for alternative hypothesis? A.p = 0.5 B. p <= 0.5 C. p > 0.5 D. p < 0.5

13.In Jefri's test of their mean score in Mathematics, he randomly sampled 35 of his classmates with the population variance unknown. Which of the following is the correct test procedure and test statistic to be used? A.T-test, C. Z-test, B.T-test, D. Z-test,

14.In Jefri's test of their mean score in Mathematics, he found that the sample mean score in Mathematics is 93.8571 and the sample variance is 17.5966. Based on your answer in #13, what is correct test statistic value? A.-1.2968 B. 1.2968 C. -5.4398 D. 5.4398

15.Assuming that the population variance of 18 is known, what will be Jefri's new test statistic value? A.-1.2677 B. 1.2677 C. -5.3785 D. 5.3785

INSTRUCTIONS: Read the problem and provide the correct null hypothesis, alternative hypothesis, rejection region, conclusion, at interpretation.

A team of 100 amateur cyclists wants to test if their team has a faster mean speed than the usual speed of 17 miles per hour. If their team is proven to have a speed faster than 17 miles per hour, they will compete in an amateur cycling competition. Due to budget constraint, only 15 of them were able to participate in the study. These 15 cyclists were randomly selected. The following data were recorded: 14, 18, 19, 16, 12, 13, 17, 17, 10, 20, 13, 14, 16, 15, and 19. Population standard deviation is known to be 3. Help them conduct the test at 5% level of significance.

16.Null hypothesis (symbols and words):

__________________________________________________________________________ Alternative hypothesis (symbols and words):

__________________________________________________________________________

17.Test statistic value (provide complete solution):

18.Draw the rejection region

19.Conclusion: _________________________________________________________________

20.Based on the test done, should they compete in an amateur cycling competition now?