Question

The results of a mathematics placement exam at two different campuses of Mercy College follow: Campus Sample Size Mean Population Std. Deviation 1 330 33 8 2 310 31 7 Answer the following: Assume you are trying to conclude that the exam scores at Campus 1 are higher than the exam scores at Campus 2. a Determine if the appropriate hy pothesis test should be an upper tail, lower tail, or 2-tail test. b. Determine the value of the test stakistic. C. Determine the critical z or t value using a level of significance of 5%, d. Determine the p-value. State your conclusion: Reject Ho or Do not Reject Ho? (Using a significance level of 5%). e. f. What is the probability of making a Type I Error?

Answer 1

Given m 330 mg 310 a = 33 22 - 31 618 62-7 Hoi. M1 M2 US Mi Misele The Pestis Right tailed Test a) L Test statistic se-ão 33-31 2 = 2012 6,2 164 49 3305 310 2= 3.37 | 0 0 - 05. critical values ZX5 20.05 21.645 P-valuer PC Z52) P(Z > 3.37) = 0.0004 el p-value La 2) Rent Reject the null Hypothesis B) PC Type. I emas . EPC Reject Ho, ho is the) 2PO2) 1.645) 12 Oros Andros PC Type I enor).