Notes: indicates that the estimates are statistically significant at the 5 percent level 1. Manually construct a 95% confidence interval for the change in women's average hourly earnings between 1992 and 2008 2. Manually construct a 95% confidence interval for the change in the gender gap in average hourly earnings between 1992 and 2008. (hint portion in the second image attached) 3. Based on the analysis answer the following questions: 1. Is the gender gap large? Why? 2. Did the estimated gender gap increased from 1992 to 2008? If so, how much? Is this increase statistically significant at the 5% level? 3. How large is the gender gap in 1992 and 2008 if it is measure in percentage terms? Do you think it is large? [Hint: What percent is the difference with respect to average men's earning? Manually calculate this percent and discuss.] Men Women Difference between Men and Women 95% CI for SE (-m (8) 0.33 difference Year Sm (2) 10.17 SW (5) 7.87 П (6) 1368 1230 (7) 3.22 3.55 4.14 4.10 4.11*. indicates that the estimates are statistically significant at the 5 percent level. (1) 23.27 (3) 1594 (4) 20.05 (9) (2.58, 3.88 [2.80, 4.19] 3.32, 4.97 (3.40, 4.80 3.41, 4.80] 1992 1996 22.48 10.10 1379 18.98 7,95 0.35 9.36 9.36 20.74 2000 24.88 11.60 1303 1181 0.42 0.36 0.35 2004 25.12 1201 1894 21.02 1735 1871 2008 24.98 11.78 1838 20.87 9.66 Notes:
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Please answer #3 and the subparts, thank you
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