Let ua be the hypothesized mean of the differences in the pass completion percentages (freshman - sophomore). Then d is the sample mean of the differences. What are H, and H, ? OA Ho: Ho so B. Ho: Ha =0 C. Ho: Hg20 Ha: Hy>0 Hg: Hg #0 OE Ho: Ho #0 H Hg =0 OF H Hsd Hai Ho sd (b) Calculated and s

The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The median of the ages of the officers is 17.0. The table displays all possible samples of size 2 and the corresponding median for each sample.   Using the medians in the table, is the sample median an unbiased estimator? Yes, 50% of the sample medians are 17 or more, and 50% are below. Yes, the mean of the sample medians is 16.8, which is the same as the mean age of the officers. No, the mean of the sample medians is 16.8, which is not the same as the median age of the officers. No, the median of the sample medians is 16.75, which is not the same as the median age of the officers.

You are a member of your local apartment association.  Recently, this association has received complaints from renters in a particular area of the city who feel their rent is much higher than other areas.  You investigate the complaint by collecting data from 4 different areas of the city (see table below). (a) Area A is the area that filed the complaint. Calculate the mean and the median of each area. (b) Do you feel Area A’s complaint is justified- why or why not? (c) Which do you think is a better measure to use in this situation - the mean or the median? Explain your reasoning.   Area A Area B Area C Area D 1275 1124 1085 928 1110 954 827 1096 975 815 793 862 862 1078 1170 735 1040 843 919 798 997 745 943 812 1119 796 756 1232 908 816 765 1036 890 938 809 998 1055 1082 1020 914 860 750 710 1005 975 703 775 930

b) If each observation is given by the overall mean + product effect + residual, find the residuals for all above observations and write them in a table. Product effect for each observation is: the group mean - the overall mean So, the product effect is the same for all observations in a group (e.g., A). (Hint: you can use Microsoft Excel, R or SPSS for this)