22. One sample has a mean of M-5 and a second sample has a mean of M- 10. The two samples are combined into a single set of scores. a What is the mean for the combined set if both of the original samples have n-5 scores? b. What is the mean for the combined set if the first sample has n 4 scores and the second sample has n 6? C What is the mean for the combined set if the first sample has n6 scores and the second sample has n 4?

11. A manager of a department times how many hours each person works within her department.   43     42     24     50     41     28     47     47     39     59     29     31     39     42   What is the mean and median of the data? Group of answer choices Mean = 40.1;  Median = 41.5 Mean = 40.0;  Median = 42.5 Mean = 40;     Median = 42 Mean = 40.8;  Median = 47

A math professor is wondering if students today are better or worse than in the past. He has given the same final to this year's class that he gave ten years ago. Compute mean, median, and mode for both classes and write a paragraph summarizing the differences. This Year 35 45 65 75 87 80 69 71 53 90 99 95 70 82 73 93 67 61 57 74 72 77 71 81 83 Ten Years Ago 56 77 75 76 59 74 51 89 55 79 67 77 69 91 68 90 65 79 69 79 87 86 98 91 95

A researcher is interested in determining if there is a relationship between handedness and penmanship.  To study this question, the researcher submitted samples from 100 students to penmanship experts.  The samples were rated to be of low, medium or high penmanship quality.  The observed frequencies were totaled according to left verses right handedness.     Penmanship Handedness low medium high Left 8 29 6 right 9 37 11   Which test is appropriate for this data? Why? Calculate row, column and table totals. State the null and alternative hypothesis. What is the degree of freedom? What is the value of the test statistic? What is the p-value? Are the data statistically significant at the 5% significance level? Do you recognize any flaws in this study