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- A professor gave a final examination to his 400 4th year BS Criminology students. He noted that 40 of the female students had a mean performance of 122 and a variance of 60 while 35 of the male students had a mean performance of 126 and a variance of 74. Assuming that the students were randomly selected and the distribution is normal, is there a reason to believe that there is significant difference between the examination mean performance of the male and female students. Use 0.01 level to test its significance.The national average for the number of students per teacher for all U.S. public schools in 15.9 Arandom sample of 12 school districts from a moderately populated area showed that the mean number of students per teacher was 19.2 with a variance of 4.41. Estimate the true mean number of students per teacher with 95% confidence. How does your estimate compare with the national average?A sample of 9 days over the past six months showed that that Philip Sherman, DDS, treated the following numbers of patients: 22, 25, 20, 18, 15, 22, 24, 19, and 26. If the number of patients seen per day is normally distributed, would an analysis of these sample data reject the hypothesis that the variance in the number of patients seen per day is equal to 10? Use a = 0.10 level of significance. Use Table 3 from Appendix B. State the hypotheses. Ho: o? - Select your answer - V 10 Ha: o? - Select your answer - 10 Calculate the variance and test statistic. (to 2 decimals) variance = test statistic = What is your conclusion? - Select your answer -
- A sample of 9 days over the past six months showed that that Philip Sherman, DDS, treated the following numbers of patients: 22, 25, 20, 18, 15, 22, 24, 19, and 26. If the number of patients seen per day is normally distributed, would an analysis of these sample data reject the hypothesis that the variance in the number of patients seen per day is equal to 10? Use a = 0.10 level of significance. Use Table 3 from Appendix B. State the hypotheses. Ho: 0² = H₂: 0² 10 Calculate the variance and test statistic. (to 2 decimals) variance = test statistic = What is your conclusion? 10 Do not reject the null hypothesis ✓The average depth of the Hudson Bay is 305 feet. Climatologists were interested in seeing if theeffects of warming and ice melt were affecting the water level. Fifty-five measurements over a periodof weeks yielded a sample mean of 306.2 feet. The population variance is known to be 3.57. Can it beconcluded at the 0.05 level of significance that the average depth has increased?An article about “Relative Controllability of Dissimilar Cars” reported a study in which 14 subjects were asked to parallel-park two cars having very different wheel bases and turning diameter. The time (in seconds) for each subject was recorded and found that the sample mean and sample variance of the difference were 1.21 seconds and 160.7824, respectively. The researcher claims that the population mean difference of time taken is (4.79,7.21) seconds. With what level of confidence can this statement be made?