SAT verbal scores are normally distributed with the population mean of 500. A local high school has instituted a new program to engage students in reading. A sample of 90 students from this high school is randomly selected following their participation in this reading program and their SAT verbal score mean of 520 was compared to the national mean. Discuss how this would require a One Sample t Test.

One Sample t Test

Chapter Objectives
The reader will be able to:
-Understand the use of One Sample t Test as a test of the difference between a sample mean and population mean
-Interpret the results through the probability level that the null hypothesis is true

Exercise for Chapter 24
Factual Questions
1. Which of the following statements is true (circle one)?
A. One Sample t Test is used to test the difference between a sample mean and a population mean to determine statistical significance
B. One Sample t Test is used to test the difference between two sample means from one sample.

2. SAT verbal scores are normally distributed with the population mean of 500. A local high school has instituted a new program to engage students in reading. A sample of 90 students from this high school is randomly selected following their participation in this reading program and their SAT verbal score mean of 520 was compared to the national mean. Discuss how this would require a One Sample t Test.

3. For the above example, how would you set up a two-tailed alternative hypothesis and what would you conclude whether the null hypothesis was rejected?

5. Assume that a One Sample t Test showed the following results: [t (49) = 4.21, p < .01].
Answer the following questions.
A. What is the probability that the null hypothesis is true?
B. What is the df of the study?
C. What is the n of the study?
D. What would you conclude?

Question for Discussion
6. Discuss a possible study topic that would require a One Sample t Test.