A random sample of 85 eighth grade students\' scores on a national mathematics a

Question

A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 262. This test result prompts a state school administrator to decare that the mean score for the state's eighth graders on his exam s more than 26 Assume hat he population standard deva on s 32 At -014 s here enough evidence o support he administra ors dam? Como ete parts a throu gh e (b)Find the standardized test statistic z, and its corresponding area Z. (Round to two decimal places as needed.) (c) Findthe P-rallue. P-yalue Round to three decimal places as needed) (d) Decide whether to reject or fail to reject the null hypothesis Fail to reject Ho O Reject H e)Interpret your decision in the context of the original claim Atte 4% s n cance level, there enough evidence to ' thè administrators claim that the mean score for the states e hthgraders onthe exam smre than 26

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 260
HA : > 260
Standard deviation = 32

Hypothesis test results:

Hence,

b) z = 0.58

c) P - value = 0.282

d) Fail to reject Ho

e) is not; support

Mean n Sample Mean Std. Err. Z-Stat P-value 85 262 3.4708873 0.57622153 0.2822

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