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- The points obtained in the Statistics and Probability oral exam of 11 students chosen at random from the course are as follows: 10 6 4 5 4 4 8 6 6 2 3 Regarding the information which of the following statement(s) is/are true? I. To conclude whether the mean scores are equal to 5. The hypothesis test would be: H0: μ = 5 and H1: μ ≠ 5.II. The most appropriate test statistic would be: (see attached image) III. At 95% confidence there is insufficient evidence to reject that the mean is equal to 5.Select one:a. I onlyb. II onlyc. III onlyd. I and IIe. I and III6 The ratio of the larger of the two sample variances to the smaller is which is ---Select--- greater than or less than than 3, so the assumption of equal variances ---Select--- is not or is reasonable.One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?
- Sample of 40 sizes were taken from Group A and a sample of 39 sizes were taken from Group B. Group A had a sample average of 3.5 and Group B had a sample average of 3.9. Group A standard deviation is 1.1 and standard deviation of Group B is 1.9. Test to see if there is a statistically significant difference between the average sizes using a 5% level of significance. Which is the most logical conclusion: 1) There is not enough evidence to support that the mean sizes are different or 2) We reject the null hypothesis that there is no difference between the mean sizes? Why?7 Under imperfect multicollinearity A. the OLS estimator will be biased. B. the OLS estimator will have a large variance. C. there will be dummy variable trap. D. the OLS estimator cannot be computed.which of the following would be expected to result in a larger standard error of the mean? (a) a larger sample size (b) a smaller sample size (c) a smaller population standard deviation (d) a larger population standard deviation (e) choices (b) and (d)
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- Compute inter quartile range and its coefficient and also find variance and S.D for the following dataClassic frequency9.3-9.7 029.8-10.2 0510.3-10.7 1210.8-11.2 1711.3-11.7 1411.8-12.2 0612.3-12.7 0312.8-13.2 0110 The distribution of the weights of those rowing in a very large regatta may be taken to be normal with mean 80 kg and standard deviation 8 kg. (i) What total weight would you expect 70% of randomly chosen crews of four rowers to exceed? (ii) State what assumption you have made in answering this question and comment on whether you consider it reasonable.4) a. A group of doctors on a particular hospital identified that they attend an average of (15 + 18) patients per hour. Assume the standard deviation is 4. 18 random sample of 36 hours was chosen. Find the 95% confidence interval. b. Find the 90% confidence interval for the variance if a study of (9 + 18) students found the 6.5 years as standard deviation of their ages. Assume the variable is normally distributed.