In a study about learning styles, researchers used a group of 64 elementary school students who volunteered to be part of the study. The researchers gave each student a pre-test and based upon the results, they divided them into 32 pairs of similarly scoring students. School administrators then randomly assigned one student from each pair to mathematics instruction online while the other student received in-person instruction in a traditional classroom. At the end of the year, all 64 students received a mathematics assessment, measured on a 100-point scale.
The researchers calculated the difference (in person online) in the mathematics assessment scores for each pair of students. The 32 differences had a mean of 15 and a standard deviation of 3.9 points.
Construct and interpret a 95% confidence interval for the mean difference (in person online) in the mathematics assessment scores for all pairs of students like these who learn math either face-to-face or online.
PLAN: Select the FOUR true statements.
1)10%: The 10% condition is not met.
2)10%: The 10% condition does not apply.
3)Normal/Large Sample: diff= 32 ≥ 30.
4)Random: The students in each pair are randomly assigned to in-person or online instruction.
5)Random: This is a random sample of 32 differences in assessment scores.
6)Name: one-sample t interval for ¯diff
7)Name: one-sample t interval for 1−2
8)Name: one-sample t interval for diff
9)10%: The 10% condition is met.
10)Normal/Large Sample: This is not met because the number of differences is small.
11)Name: one-sample t interval for ¯1−¯2
12)Random: The random condition is not met.
DO:
∗= ____________(Enter 3 decimal places)
95% CI = ( ________, __________ ) (Enter 3 decimal places)
