8.- The Bureau of Labor Statistics publishes data on weekly earnings of full-time wage and salary...

Transcribed Image Text:

8.- The Bureau of Labor Statistics publishes data on weekly earnings of full-time wage and salary workers in Employment and Earnings. Independent random samples of male and female workers gave the following data on weekly earnings, in dollars. Men 924 575 2121 415 Women 2078 358 2193 374 1888 705 386 1116 594 1181 375 1445 The Normal probability plots and summary statistics are as follows. a) First do the test to find out if o; and o are equal or not. Define a = 0.10 i) ii) The test statistic value is (inside) (outside) the Rejection Region. circle your answer) The p-value is: b) Test the null hypothesis H versus the alternative Hi Hi Define a = 0.05 i) The test statistic value is (inside) (outside) the Rejection Region. The p-value is: c) in the following graph identify the Type 1 Error area, a, and the Type II Error area, B. The red curve is the null hypothesis probability curve ( 0), and the blue curve is one of the alternative hypothesis probability curve (:-=-2). in this graph the difference-2 is easier to plot than other values corresponding to these data. What is important is the concept) H. Sketch the Power area, if possible. Answer: (please circle your answer) The green area is a, the probability of Type I Error. The other area, gold, is B. The green area is B, the probability of Type II Error. The other area, gold, is a 8.- The Bureau of Labor Statistics publishes data on weekly earnings of full-time wage and salary workers in Employment and Earnings. Independent random samples of male and female workers gave the following data on weekly earnings, in dollars. Men 924 575 2121 415 Women 2078 358 2193 374 1888 705 386 1116 594 1181 375 1445 The Normal probability plots and summary statistics are as follows. a) First do the test to find out if o; and o are equal or not. Define a = 0.10 i) ii) The test statistic value is (inside) (outside) the Rejection Region. circle your answer) The p-value is: b) Test the null hypothesis H versus the alternative Hi Hi Define a = 0.05 i) The test statistic value is (inside) (outside) the Rejection Region. The p-value is: c) in the following graph identify the Type 1 Error area, a, and the Type II Error area, B. The red curve is the null hypothesis probability curve ( 0), and the blue curve is one of the alternative hypothesis probability curve (:-=-2). in this graph the difference-2 is easier to plot than other values corresponding to these data. What is important is the concept) H. Sketch the Power area, if possible. Answer: (please circle your answer) The green area is a, the probability of Type I Error. The other area, gold, is B. The green area is B, the probability of Type II Error. The other area, gold, is a