Question 12 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
An economics major believes that in married couples, the taller spouse has the higher income. To test this theory, she randomly selects 26 married couples and records their yearly incomes. The mean difference (taller – shorter) in incomes is $1,668 with a standard deviation of $1,290.
Answer
A
Because the P-value is less than α, there is evidence that in married couples, the taller of the two has a higher income on average.
B
Because the P-value is greater than α, there is evidence that in married couples, the taller of the two has a higher income on average.
C
Because the P-value is less than α, there is not sufficient evidence that in married couples, the taller of the two has a higher income on average.
D
Because the P-value is greater than α, there is not sufficient evidence that in married couples, the taller of the two has a higher income on average.