Question

For all of the following questions, make sure you conduct a COMPLETE hypothesis test following all 5 steps showing all work. You may use the critical value method or the p-value method. 4. In a study of proctored and un-proctored tests in an online Algebra course, researchers obtained the test results given below: * Proctored: 74.30 12.87 Not Proctored 88.62 22.09 Use 0.01 to test the claim that the proctored on-line test takers generally score worse than non-proctored on-line test takers in an online Algebra course. 5. In the 1950s and 60s, women tended to marry men having a better earning potential than they did (so- called "marrying up'). An economist studying income inequality claims that working women and men who marry today tend to marry someone making about the same income as they do. The economist collected the following sample of annual income for 9 working married couples. (income data is in thousands of dollars) Husband $52.0 $28.0 591.5 $74.0 $31.4 $45.2 $101.0 $38.0 $63.0 Wife $54.1 $25.0 580.0 570.4 $36.0 $41.5 $110.0 $33.3 $55.0 Test to a significance level of 0.05 the economist's claim. 6. Jared to Cindy: "Girls spend more time than boys using their cell phone." Cindy to Jared: "Not true. Boys spend just as much time as girls." Test Jared's claim at a = 0.05 using the following sample data of 50 girls and 50 boys' daily average cell phone usage. | Girls 92.3 minutes 9.3 minutes Boys 89.5 minutes 8.1 minutes

Answer 1

Note:- The Chegg rule is to solve first question when multiple questions are given. So I solved your first question.

And:- = 74.30. 81 = 12.87 .i ni= 30 $=0.01 222 88.62 82= 220992= 32 Pooled standard deviation (ße) (nn) 8,2 + (021) 8₂². 30-1) 12.072+(32-1) 22.092 nitha-2 Bot 32-2 18% = 18.22577 © Hypothesisk Ho: H13 ца Hr: Mi < Hz Test Statistics: . q te to 4 $ It Inte,dp PN ni nz + 74.30- 88.69 = -3.092 18.2257 III N 30 32 t= - 3.0927 © Critical values 4 -0.01, dt = nit 2-2 = 30 +32-2=60 toidt = to.01,60 = -2.390 (From t-table] U Decision. Since t= -3.092 <tedt = -2.390 Hence, we reject Ho at 120101 (1) conclusion& There is sufficient evidence to support the claim that the proctored On-line test takes generally 8core worse than non-proctored on-line test takers in an online Algebra Couose.