. Question 11 1: Boys' Scores 1102 1356 1133 1060 902 1047 1021 2: Girls' Scores 1053 1044 1271 1063 1107 1163 1061 Use the sample data shown above to decide whether the mean SAT score for boys is less than than mean SAT score for girls at a = 0.01. 1. The population distribution requirement for this test is: O None needed O Need normally distributed populations The hypotheses are: O Ho: Ma 2 0; Ha: Ha M2 O Ho: M1 = 12; Ha: M1 # M2 O Ho: Ma 0 O Ho: Ha = 0; Ha: Ma # 0 2. This is a O right two left tailed test and the test used is a: O 2-Sample T-Test (independent populations) O Paired T-Test (dependent populations) O 2-Sample Z-Test (independent populations)The Degrees of Freedom {If needed, use the simple estimate discussed in the notes, not the messy formula]: are '33:? WA; this is a Z-test -":::r- 6 {2:22:- 7 3. The STS {round to 3 decimals} is: The P-value {round to 4 decimals} is: 4. The decision at a = 0.01 is: '33:? Do not reject Ho since P :L or '33:? Do not reject Ho since P > or '3' Reject Ho since P g or '13:} Reject Ho since P :3 or The conclusion is: '5'3' There is sufficient evidence to conclude that on average, boys' SAT scores are less than girls' ""333 There is insufficient evidence to conclude that on average, boys' SAT scores are less than girls' ":33 There is insufficient evidence to conclude that on average, boys' SAT scores are not less than girls' '33:? There is sufficient evidence to conclude that on average, boys' SAT scores are not less than girls