a random sample of 75 eight grade students scores on a national mathematics asse

Question

a random sample of 75 eight grade students scores on a national mathematics assessment test has a mean score of 283. this test result prompts a state school administrator to declare that the mean s ore for the state eight grader on this exam is more than 275. assume the the population standard deviation is 32. At a=0.13, is there enough eveidence to support? A) what is the P value? B) write the claim mathematically and identify H0 and Ha. Choose the correct answer belo. O B. Ho -275 Ha > 275 (dam) Ho :275 (darn) Hap 275 OC. Ho 2275 (claim) Ha : 275 Ha > 275 (claim) OD. Ha 2275 (claim) Click to select your answer and then click Check Answer

Explanation / Answer

Answer to the question is below:

a.

The claim is what gets into the alternate hypothesis
So, exactly opposite to that will be the null hypothesis. Hence, the answer is F is right

b. Z = (275-283)/(32) = -.25

A. The p-value for Z = -.25 is 1-.4052 = .5948

The critical value of a = .13, means that our p-value is more tha a=.13, we fail to reject the null hypothesis and conclude that Mu>=275

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