Ch 13--Student's t for single samples.

1. Introduction:

2. When population is unknown

A. Generating hypotheses

B. Calculating the statistic

C. Evaluate the statistic

3. The sampling distribution of t

A. Definition of the t distribution is the same for the definition of any sampling distribution--it is
a probability distribution of all the possible values of t that could occur from all possible samples
of a given N.

B. Degrees of Freedom

C. t/z compared

D. T_{crit}

4. Computation of t_{obt}, using original scores

E.g.,

X

9.22

8.00

7.67

8.00

3.78

5.89

8.33

7.44

6.78

3.44

4. 2^{nd} use of t: Confidence intervals for

A. Confidence interval: a range of values that probably contains the .

B. It's Confidence limits are the values that bound this range.

C. 95% Confidence interval

D. General Confidence Intervals

5. 3^{rd} use of t: testing the significance of Pearson r

A. Hypotheses

B. Calculate statistic

C. Evaluate results

i. sampling distribution of r, df=N-2