A test prep company has developed a new intervention to improve SAT-Math scores.

Question

A test prep company has developed a new intervention to improve SAT-Math scores. They will conduct a hypothesis test to determine if the average SAT-Math score of a student who has completed their program is greater than the known national average of 500. The program is very expensive ($2,800 per student). Use this scenario to answer the following questions. Be sure to show all your work! State the null and alternative hypotheses using statistical notation. In terms of this scenario, what would a Type I error be? In terms of this scenario, what would a Type II error be?

Explanation / Answer

a)

Ho : miu = 500

H1 : miu > 500

b)

type I error , reject Ho when Ho is true that means conclude that miu is greater than 500, when in fact this is false, mean is not greater than 500

c)

type II error, fail to reject Ho when Ho is false that means conclude that Ho is not greater than 500, when in fact this is false, Ho is false, average is greater than 500

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