In: Statistics and Probability
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: 9 8 1 2 7 9 10 1 8 8 9
Mean: (9+8+1+2+7+9+10+1+8+8+9)/11 = 6.5455
Standard Deviation:
In this case Mean = 6.5455
Standard Deviation s = 3.4457
One sample t-Test has been performed to test the hypothesis. Following are the steps followed:
At 0.05 significance level, there is enough evidence to claim that the students learning from a new edition of a math textbook have higher scores on math test.