A professor who teaches a large introductory statistics class (197 students) with eight discussion sections would like to test if student performance differs by discussion section, where each discussion section has a different teaching assistant. The summary table below shows the average final exam score for each discussion section as well as the standard deviation of scores and the number of students in each section. Sec 1 Sec 2 Sec 3 Sec 4 Sec 5 Sec 6 Sec 7 Sec 8 33 19 10 29 33 10 32 31 X¡ 92.94 91.11 91.8 92.45 89.3 88.3 90.12 93.45 Si 4.21 5.58 3.43 5.92 9.32 7.27 6.93 4.57 The ANOVA output below can be used to test for differences between the average Scores from the different discussion sections. Df Sum Sq Mean Sq F value Pr(>F) 1.87 0.0767 section 7 525.01 75 residuals 189 7584.11 Conduct a hypothesis test to determine if these data provide conyincing ouidongn 40.13 that t

A psychologist has designed an index to measure the social perspectives of elementary school children. The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations.  The following are the indices measured on a random sample of 16 children attending elementary school in a particular district.   48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57   For the data the mean index is 60.69 and the standard deviation is 8.26. The confidence interval is 95%, with a level of significance of 0.05. Perform a statistical test to determine if the population mean index is greater than 50. a) Name of hypothesis test:   b) H0:   c) HA:   d) Test Statistic:   e) Rejection region:   f) Decision in the context of the problem:

I need help solving this statistics problem.

One of the z-score formulas will help on this question. Scores on the SAT test are normally distributed with a mean of 500 and standard deviation of 100 points. Pretend someone scored 400 on the math portion of the SAT test. What would be the z-score cut off for this score?     A. 1.0   B. -1.0   C. 0   D. 2.0