A random sample of 50 medical school applicants at a university has a mean raw score of 31 with a standard deviation of 2.5 on the multiple choice portions of the MCAT. A student says that the mean raw score for the school’s applicants is more than 30. At is there enough evidence to support the student’s claim, using a significance level of 0.05?
Write the claim mathematically (you may use x to represent the mean)
Determine the null hypothesis
Determine the alternative hypothesis
Find the standardized test statistic, z, round to 3 decimal places.
Find the P-value, round to three decimal places.
Decide whether to reject or fail to reject the null hypothesis.
Interpret the decision in the context of the original claim
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