A random sample of 77 eighth-grade​ students' scores on a national mathematics assessment test has a...

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A random sample of 77 eighth-grade​ students' scores on anational mathematics assessment test has a mean score of 264 with astandard deviation of 40.

This test result prompts a state school administrator to declarethat the mean score for the​ state's eighth-graders on this exam ismore than 260.

At a=0.09​, is there enough evidence to support the​administration's claim? Complete parts​ (a) through​ (e).

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