- A sample size and confidence interval for the population mean are given. Find the sample mean and the margin of error. Find the critical t value(s) and the standard error fo the mean. Find the sample standard deviation and conduct a hypothesis test based on the confidence interval. Look at your notes from chapter 23.
- Know how to check normality from a probability plot. The sample size, mean, and standard deviation are given, find the standard error. Find the critical t value(s) and the margin of error. Find the confidence interval for the mean. Conduct a hypothesis test based on the interval.
- Work a hypothesis test. It could be about a single population mean, two
independent samples, or a paired sample. For two samples, decide if the samples
are independent or dependent. Write the original claim symbolically and decide
if it is the null or alternative hypothesis.
Write H
_{0}and H_{1}and identify it as a left tail, right tail, or two tail test. The test statistic, p-value, and sometimes the degrees of freedom from Minitab are given, use them to find the critical value(s), make a decision, and then complete the conclusion. - See #3.
- See #3.
- See #3.
- Three pairs of statements are given. For each one, decide which statement is the null hypothesis and which statement is the alternative hypothesis. These are English statements, not mathematical ones.
- You are given a test statistic and critical value(s). Decide whether it
is a left tail, right tail, or two tail test and whether to Reject H
_{0}or Retain H_{0}. Three parts. - Know the concept that is fundamental to all hypotheses testing.
- A graph of a probability distribution is given along with a critical value
and level of significance. Draw and label a vertical line at the critical
value, shade and label the critical region, label the non-critical region,
label
each
region with the area in that region, write "Reject H
_{0}" and "Retain H_{0}" in the appropriate regions of the graph. - A claim is made and a statistical test that you've never seen before is performed. Use the critical value and test statistic to decide whether to reject or retain the null hypothesis. Complete the conclusion.
- Three pairs of statements are given. For each pair, decide which is a type I error and which is a type II error.
- A p-value and significance level are given. Decide whether to reject or retain the null hypothesis. Two parts.
- A null hypothesis and a confidence interval are given. Decide whether the test is left tailed, right tailed, or two tailed and whether you would reject or retain the null hypothesis. Two parts.
- Four claims are given. For each claim, write the null and alternative hypotheses and determine whether it is a left tail, right tail, or two tail test. If there are two samples, be sure to define your subscripts.

- A copy of the Student's T table will be provided.
- You will definitely want a calculator.
- Do not waste a lot of time on the first two problems. They are probably the two most difficult ones on the test.

# | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | Total |
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Pts | 8 | 9 | 13 | 11 | 9 | 11 | 3 | 6 | 1 | 5 | 3 | 3 | 2 | 4 | 12 | 100 |