Question

Do flashcards help students retain the Chinese Language? Six randomly selected students are given a pretest, asked to study a set of flashcards once a day for a week and then given post test for their Chinese Language class. Is there evidence that flashcards can improve scores? Their data is below. What is the test statistic?(pretest – posttest)

Answer 1

-1.64

Step-by-step explanation:

Multiple Choice Answers that were not provided in the question:

a. 0.103 .

b. None of the above.

c. -4.16

d. -1.45

e. 2.86

f .-1.64

The provided data is as below:

Student 1 Student 2 Student 3 Student 4 Student 5 Student 6

Pre- test 80 76 76 50 48 67

Post- test 75 86 87 60 48 68

Further Explanation:

Student 1 Student 2 Student 3 Student 4 Student 5 Student 6

Pre- test 80 76 76 50 48 67

Post- test 75 86 87 60 48 68

Pretest-Postest 5 -10 -11 -10 0 -1

Calculating the mean of the difference (Pretest-postest) we get d bar = -4.5

Calculating the standard deviation of the difference (Pretest-postest) we get sd= 6.716.

Since sample score is under 30 and population standard deviation is unknown, we will use a tscore to find the standardized test statistic

t = dbar/(sd/√n) = -4.5/(6.716√6) = -1.642 ≈ -1.64

The test statistic is -1.64.