A random sample of 87 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 287. 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 280. Assume that the population standard deviation is 30. At α=0.04​, is there enough evidence to support the​administrator's claim?

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

287.

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

280.

Assume that the population standard deviation is

30.

At

α=0.04​,

is there enough evidence to support the​administrator's claim? Complete parts​ (a) through​ (e).

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