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Assignment 1: It is known that achievement test scores of all high school seniors in a state...

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Basic Math

Assignment 1:

It is known that achievement test scores of all high schoolseniors in a state (in the US) have mean 60 and variance 64. On alarge high school, located in a low socio economic area, a smallgroup of senior students set out to investigate the performance oftheir own school. They collected a random sample of ??=100achievement test scores from fellow students. Analyzing theresults, it was found that the sample mean achievement test scorewas 58.

A) Is there evidence to suggest that this high school isperforming poorly? Look at the hint below and provide anexplanation.

(Hint: find the probability that the sample mean achievementtest score is at most 58, assuming that the true mean score is 60.In the computation, use ? = 8)

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