MATLAB: An Introduction with Applications
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Author: Amos Gilat
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A suitable null hypothesis in AOV is the following:
- a) all population means are unequal
- b) all population means are equal
- c) the sample data was not drawn from the population
- d) none of the above
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- We want to know if the average rating of attractiveness (1=homely, 5=stunning) of a typical person differs depending on the state they are located in. We believe that there will be significant differences in the average attractiveness of the people at each of the four states we examine. 1) Report (in words or statistical notation), our null and alternative hypothesis: Provided are the data we collected from four different states: OR, WA, ID, and CA (see below): OR WA ID CA X bar 3.01 3.07 2.88 3.7 SD 0.42 0.60 0.46 0.30 n 10 10 10 9 SS 92.19 97.47 84.84 123.95 2) Given that we have more than two samples, we need to conduct a one-way ANOVA. Conduct the test in order to calculate the F-statistic addressing our hypothesis. Be sure to calculate the grand mean and the between-groups & within-groups mean-squares first (also don’t forget to round to 2 decimal places and report the formulas!!): 3.) Calculate the degrees…arrow_forward7) A weight - lifting coach claims that weight - lifters can increase their strength by taking a certain supplement. To test the theory, the coach randomly selects 9 athletes and gives them a strength test using a bench press. The results are listed below. Thirty days later, after regular training using the supplement, they are tested again. The new results are listed below. Test the claim that the supplement is effective in increasing the athletes' strength. Assume the samples are random and dependent, and the populations are normally distributed. Use" = 0.05. Athlete 1 2 3 4 5 6 7 8 9 Before 215 240 188 212 275 260 225 200 185 After 225 245 188 210 282 275 230 195 190 1. HO: Ha: II. P- Value: Decision: HO IV. Conclusion (with context): III.arrow_forward4) Which of the following sets of measures of association represent the values of the null hypotheses? (note: RD = Risk Difference which is synonymous with Attributable Risk) a) RD>0, RR>1, OR>1 b) RD=0, RR=1, OR=1 c) RD#0, RR#0, OR#0 d) RD 1, RR#1, OR#1 e) None of the abovearrow_forward
- 16)arrow_forward7)arrow_forwardSuppose we increase the sample size from 17 to 19, then we know that: A) The confidence interval will get smaller because the standard error and the appropriate t-score will change B) The confidence interval will get bigger because the standard error and the appropriate t-score will change C) The confidence interval will get bigger because the appropriate t-score will change D) The confidence interval will get smaller because the standard error and the appropriate z-score will changearrow_forward
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