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

Assignment 1:

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

A) Is there evidence to suggest that this high school is performing poorly? Look at the hint below and provide an explanation.

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

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Expert Solution

milcah answered 1 day ago

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