A random sample of 87 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth graders on this exam is more than 285. Assume that the population standard deviation is 36. At α=0.07​, is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e). (a) Write the claim mathematically and identify H0 and Ha. b) Find the standardized test statistic​ z, and its corresponding area. ​(c) Find the​ P-value. ​(d) Decide whether to reject or fail to reject the null hypothesis

MATLAB: An Introduction with Applications
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A random sample of 87 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth graders on this exam is more than 285. Assume that the population standard deviation is 36. At α=0.07​, is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e).

(a) Write the claim mathematically and identify H0 and Ha.

b) Find the standardized test statistic​ z, and its corresponding area.

​(c) Find the​ P-value.

​(d) Decide whether to reject or fail to reject the null hypothesis.

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