A random sample of 89 eighth grade students\' scores on a national mathematics a

Question

A random sample of 89 eighth grade students' scores on a national mathematics assessmont tost has a mean score of 264 This test resull prompts a state school declare that tre m een score for the state's eighth graders on this exam is more than 260 Assume that the populat on standard de ton is 33 At 0 06,s here erough evidunce to to Ha >200 (clam) H" p> 260 (clam) Ho Ha +260 OD, n, 200 (claim) OF, 20) (claim) Ha >260 "(Round to two decrnal places as needed ) (c) Find the P value pvaluos(Round to three decinal places as needed ) (d) Decide whether to reject or tail to reject the null hypothesis

Explanation / Answer

Answer to the question is as follows:

Sample Mean sore = 264

Therefore, the hypothesis testing will be designed as

a.

Ha: Mu>260 ( claim)

Ho: Mu<=260

Remember the claim always goes to the alternate hypothesis

Mutually exclusive to this will be something of an opposite sign.

B is therefore right

b. Z = (264-260)/(33/sqrt(89)) = 1.14

c. p-value is P(Z>1.14) = 0.1264

d. Hence, we fail to reject null hypothesis

e. Interpretation: We fail to reject Ho because p-value is more than .06,
i.e. We conclude that the claim is FALSE

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