Question

1. If you wanted to find the difference in Elementary Statistics grades between students who transferred to CSULB from a community college and students who entered CSULB straight out of high school, what test statistic would you use?

2. If you wanted to find the difference in grades among students who took Elementary statistics in their Freshman year, Sophomore year, Junior year, or Senior year in college, what test statistic would you use?

3. If you wanted to see if there is a difference among students who took Elementary statistics in their Freshman year, Sophomore year, Junior year, or Senior year in college, and whether their age at the time affects their grade, what test statistic would you use?

Answer 1

(1)

2 Independent Samples t test

Explanation:

Here the 2 independent samples are: (i) Elementary Statistics grades of students who transferred to CSULB from a community college and (ii) Elementary Statistics grades of students who entered CSULB straight out of high school,

(2)

One Way ANOVA Test

Explanation:
H0: Null Hypothesis: (There is no difference in grades among students who took Elementary statistics in their Freshman year, Sophomore year, Junior year, or Senior year in college)

HA: Alternative Hypothesis: (There is difference in grades among students who took Elementary statistics in their Freshman year, Sophomore year, Junior year, or Senior year in college)

(3)

Two way ANOVA

Here, the dependent variable is: grade, of students who took Elementary statistics

The independent variables are: (i) Year of students: Freshman year, Sophomore year, Junior year, or Senior year in college, and (ii) their age at the time