1220 1220 1250 1020 1010 1040 840 870 1130 730 850 730 1010 880 1020 950 900 800

Question

1220

1220

1250 1020 1010 1040 840 870 1130 730 850 730 1010 880 1020 950 900 800 840 1030 790 QUES TION 9 A scientist would like to know if identical twins have a difference in their standardized test scores. Below is a list of the SAT scores for 10 sets of twins First-born twin Second-born twin 1220 1020 1250 010 840 1130 870 730 880 950 800 10 010 900 840 For the test of HO H2-1 0 and Ha-H2-1 > 0 using paired t-test, what is the p value? 026 o 0.18 0.08 0.04 QUESTION 10 A scientist would like to know if identical twins have a difference in their standardized test scores. Below is a list of the SAT scores for 10 sets of twins. First-born twinSecond-born twin 1250 1010 840 1130 1220 040 870 730 880 950 800 010 900 At the significance level of 0.05, can we claim that the mean of second-born twins 's SAT score is higher than the first-born twins? O No O Yes

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between var17 and var16
H0 : D = 0
HA : D > 0
Hypothesis test results:

Hence,

9) p - value = 0.26

Option A is correct.

10) No

Option A is correct.

Difference Mean Std. Err. DF T-Stat P-value var17 - var16 37 54.671748 9 0.67676637 0.2578

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