The College Board reports that in 2016 the mean score on the math SAT was 510 and
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The College Board reports that in 2016 the mean score on the math SAT was 510 and the population standard deviation was σ = 103.
A random sample of 20 students who took the test in 2017 had a mean score of 515.
Following is a dotplot of the 20 scores.
a. Are the assumptions for a hypothesis test satisfied?
Explain.
b. If appropriate, perform a hypothesis test to investigate whether the mean score in 2017 differs from the mean score in 2016. Assume the population standard deviation is σ = 103.
What can you conclude? Use the α = 0.05 level of significance.
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