A child psychologist believes that the results from a standardized behavior test fail to hold to the assumption of normality. She samples 250 results from the test to evaluate normality. The average value of the 250 samples is 105.25, with a standard deviation of 21.2. She finds that 30% of the scores are greater than 168. What conclusion should she draw based solely on this finding?
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The data could be normal because we expect 30% of the readings from this data set to be greater than 168.
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The data are most likely not normal because drastically fewer than 30% of the observations should be this high if the data set were normal.
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The data are most likely not normal because more than 30% of the observations should be this high if the data set were normal.
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The determination of normality cannot reliably be made from this information.
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