The final five questions selections are: 1. a normal, an F, a chi squared, a T 2

Question

The final five questions selections are:

1. a normal, an F, a chi squared, a T

2. is randomly distributed across all populations, decreases as the size of all populations increases, is the same for all populations, increases in size ans the population increases.

3. dependent across populations, mutually correlated, dependent within populations, independent of each other.

4. randomized, non randomized

5. random, non random

1. An introduction to analysis of variance Do SAT preparatory classes effectively increase SAT scores?" The following study, cited in a major newspaper, claims that they do (but not by a substantial amount "A new study shows that [SAT preparatory] classes are effective in boosting scores somewhat. Private classes increased scores an average of 60 points, while less specialized high school courses added 30 points said Claudia Buchmann, coauthor of the study and associate professor of sociology at Ohio State University." [Source: Mehta Seema. "Students Believe in the SAT Los Angeles Times, March 1, 2008 Suppose that a researcher would like to compare the effects on students' SAT scores of the following three types of preparation: taking a private SAT preparatory class offered by ScoreExcel, a company offering exam reviews; taking a less specialized preparatory class offered by a local high school; and not taking any preparatory class Consider two statistical studies called Study A and Study B. In Study A, 50 high school seniors who had not taken the SAT were divided randomly into three groups of 50 students each. Students in the first group were assigned to take the preparatory class offered by ScoreExcel, those in the second group were assigned to take the preparatory class offered by the local high school, ll of the students took the and those in the third group were not assigned to any preparatory class. At the end of the study SAT, and their scores were recorded In Study B, samples of students who had taken the SAT were selected randomly from populations defined by the three different types of preparation: those taking the preparatory class offered by ScoreExcel, those taking the preparatory class offered by the local high school, and those not taking any preparatory class. Each sample consisted of 50 high school seniors, and their SAT scores were recorded In both studies, the response variable is and the explanatory variable is Study A is an study, and Study B is an study Analysis of variance (ANOVA) is a statistical procedure used to determine whether there are differences among the means of the populations defined by the groups What is the null hypothesis in an ANOVA? What is the alternative hypothesis in an ANOVA? O Ho: At least two of the population means are equal O Ha: All of the population means are different O Ho: All of the population means are equal O Ha: Not all of the population means are equal O H Not all of the population means are equal O Ha: At least two of the population means are equal O Ho: All of the population means are different O Ha: All of the population means are equal To perform ANOVA, the researcher assumes the following: For each population, the response variable has distribution, the variance of the response variable and the observations The assumption of independence may be satisfied in an experimental study with are design or in an observational study with sampling

Explanation / Answer

response variable: SAT score

explanatory variable: three types of preperation

study A: Experiment

study B: Observational study

H0: all population means are equal

Ha: not all of the population means are equal

response variable has normal distribution ,

is the same for all populations

independent of each other

randomized,

random

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