The mean score on a 25-point placement test in mathematics used for the past two years at a large state university is 14.3. The placement coordinator wishes to test whether the mean score on a revised version of the test differs from 14.3. She gives the revised test to 20 entering freshmen early in the summer; the mean score is 14.6 with standard deviation 2.4.
a. Perform the test at the 10% level of significance using the critical value approach.
b. Perform the test at the 10% level of significance using the p-value approach.
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