Question

A teacher is interested if students learning from a new edition of a math textbook have higher or lower scores on a math test. She tests a sample of students, and finds the following scores (higher scores indicate better performance). She doesn’t have scores for all of the students who used the old textbook, but she thinks that on average they score a “4”, and so she decides to compare performance to this value. Here is the data she collects:

2

8

1

2

7

9

10

1

8

8

9

Calculate the test statistic (t-obtained) for this test (One-Sample t-Test):

Answer 1

Solution:

Given: A teacher is interested if students learning from a new edition of a math textbook have higher or lower scores on a math test.

She doesn’t have scores for all of the students who used the old textbook, but she thinks that on average they score a “4”.

That is:

We have to calculate the test statistic (t-obtained) for this test (One-Sample t-Test).

where

n= sample size = 11

Thus we need to make following table:

x	x^2
2	4
8	64
1	1
2	4
7	49
9	81
10	100
1	1
8	64
8	64
9	81

.

Thus

thus t-obtained = 1.764