Question

3. Corrupt Researcher: t-test Edition! I was at a dinner party recently where someone made this claim: "If you want a marriage that lasts, date someone who has a similar IQ to yours." You decide to make up (!) a data set that contains the absolute values of the IQ differences of couples who are either together 10 years after marriage, or divorced within 10 years of marriage. Below is the summary Married Couples IQ Diff Divorced Couples IQ Diff 86 Number Couples Mean 73 10.3 4.7 SD 3.5 a. Let μΜ1QD (μD1QD) be the true average of absolute values of IQ differences in couples who are together (divorced) 10 years after marriage. Explain why the problem setup establishes (Here, MIQD is shorthand for Married, absolute value of IQ Difference.) b. Discuss the conditions required to run a hypothesis test in the setting and carefully explore whether they are met in this setting c. What is the smallest value the? could be which would cause you to reject Ho and move to Hi with α-0.05? Show all your steps!

Answer 1

aganst te claim d shovld bein alemeive whene e ane b) Saeple mean nd standaddeviaHon is aalable in -he the ion dta n &+13

lo.3- 10,3-a o.2u to.3026 0 667 DraD