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Posts: 242
2 weeks ago
All 423 Wisconsin public schools were all given a rating by the Wisconsin Department of Public Instruction based on several variables. The mean rating reported was 71.5 and the standard deviation was 4.87. To do a follow-up study a random sample of 40 schools was selected. In this sample, the mean rating was 70.9. One of the researchers is alarmed, thinking the report may have been mistaken. Do you think this sample result is unusually low? Explain.
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Stats: Modeling the World


Edition: 4th
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Posts: 255
2 weeks ago
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We have a random sample of schools drawn from a much larger population. With a sample of size 40 the CLT says that the approximate sampling model for sample means will be N(71.5, 0.77). A sample mean rating of only 70.9 is about 0.78 standard deviations below what we expect, which is not a very unusual result.
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