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(3 points) In a study to compare the IQ between boys and girls in a particular elementary school, a random sample of seventh grade boys
(3 points) In a study to compare the IQ between boys and girls in a particular elementary school, a random sample of seventh grade boys and girls was taken from Vancouver Hill Elementary School. The girls and boys were asked to take an IQ test and their scores were recorded. Some summary statistics of the le of the boys and girls is given below. Number of children measured Average IQ Standard deviations of IQ _\" Part a) Which of the following test is appropriate for the comparison? 0 A. A ztest for a population proportion. O B. A two-sample t-test. O C. A Chisquare test. 0 D. A paired ttest. Part b) In testing a hypothesis about the parameter of interest, what would your null hypothesis be? 0 A. There is a difference in the mean IQ for boys and girls at Vancouver Hill Elementary School. 0 B. The difference between the mean IQ of seventh grade boys and girls is 1.6. O C. There is no difference in the mean IQ for seventh grade boys and girls at Vancouver Hill Elementary School. 0 D. The mean IQ of seventh grade boys at Vancouver Hill Elementary School is greater than the mean IQ of seventh grade girls at the same school. 0 E. The mean difference between the IQ of a seventh grade boy at Vancouver Hi|| Secondary School and the IQ of a seventh grade girl at the same school is 1.6. Part c) If you use a 5% level of significance, which of the following would you conclude? O A. There is sufficient evidence to suggest that the mean IQ of seventh grade boys at the school is greater than the mean IQ of seventh grade girls at the school. 0 B. There is insufficient evidence to suggest that the mean IQ of seventh grade boys at the school is greater than the mean IQ of seventh grade girls at the school. 0 C. There is sufficient evidence to suggest that the difference between the mean IQ of seventh grade boys and girls at the school is 1.6. O D. There is insufficient evidence to suggest that the difference between the mean IQ of seventh grade boys and girls at the school is 1.6. O E. There is insufficient evidence to suggest that there is a difference in the mean IQ for seventh grade boys and girls at the school. C) E There is sufficient evidence to suggest that the mean difference between the IQ of a seventh grade boy at the school and the IQ of a seventh grade girl at the school is 1.6. O G. There is insufficient evidence to suggest that the mean difference between the IQ of a seventh grade boy at the school and the IQ of a seventh grade girl at the school is 1.6. O H. There is sufficient evidence to suggest that there is a difference in the mean IQ for seventh grade boys and girls at the school
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