Question

EOC 11.10 Homework Unanswered Professor Brown is interested to see if the graduating seniors in her sociology class have higher or lower college GPAS compared to their respective high school GPAs. Click on the research hypothesis given Dr. Brown's research question. HO HCO H. 20 ** ** o uso to

Answer 1

1 ) Define ,

: GPA scores of the ith graduating senior in the sociology class of Prof. Brown.

: High school GPA scores of the ith graduating senior in the sociology class of Prof. Brown.

Let , d = X - Y

Again , let , $\mu_d$ represents the population mean of the difference between the GPA score of graduating seniors in the sociology class of Prof. Brown and their GPA scores when they were in High school

The research hypothesis is : $\mu_d\neq 0$

2 ) To be able to use z for testing the differences between two statistics , both of the two samples must be greater than or equal to 30 in size .

3 ) i ) $1-sided+\alpha-0.05+2\ df-2.920$

ii ) $1-sided+\alpha-0.05+4\ df-2.132$

iii ) $2-sided+\alpha-0.01+8\ df-3.355$

4 )  $\bar{d}=\left |\frac{50000-60000}{5} \right |=2000$