1. Chapter 9 Hypothesis Testing

2. Properties of the t Distribution
The t distribution is different for different values of n, the sample size.

3. Properties of the t Distribution
The t distribution is different for different values of n, the sample size.
2. The t distribution is centered at 0 and is symmetric about 0.

4. Properties of the t Distribution
The t distribution is different for different values of n, the sample size.
2. The t distribution is centered at 0 and is symmetric about 0.
3. The area under the curve is 1. Because of the symmetry, the area under the curve to the right of 0 equals the area under the curve to the left of 0 equals ½.

5. 4. As t increases without bound, the graph approaches, but never equals, zero. As t decreases without bound the graph approaches, but never equals, zero.

6. 4. As t increases without bound, the graph approaches, but never equals, zero. As t decreases without bound the graph approaches, but never equals, zero.
5. The area in the tails of the t distribution is a little greater than the area in the tails of the standard normal distribution. This result is because we are using s as an estimate of which introduces more variability to the t statistic.

9. Step 1: A claim is made regarding the population mean
Step 1: A claim is made regarding the population mean. The claim is used to determine the null and alternative hypotheses. Again, the hypothesis can be structured in one of three ways:

14. Step 3: Compute the test statistic
which follows Student’s t-distribution with n – 1 degrees of freedom.

15. Step 4: Compare the critical value with the test statistic:

16. Step 5 : State the conclusion.