AP Stats Review of Significance Tests

The table above shows the height, in inches, and the arm span, in inches, for 10 randomly selected high school students. Which of the following significance tests should be used to determine whether a linear relationship exists between height and arm span, provided the assumptions of the test are met?

• Two-sample z-test

• Two-sample t-test

• Chi-square test of independence

• Chi-square goodness-of-fit test

• t-test for slope of regression line

• 90% confidence

• 93% confidence

• 95% confidence

• 98% confidence

• 99% confidence

An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised to improve mathematics skills. The results showed no statistically significant improvement in mathematics skills, using a = 0.05. The program sponsors complained that the study had insufficient statistical power. Assuming that the program is effective, which of the following would be an appropriate method for increasing power in this context.

• Use a two-sided test instead of a one-sided test.

• Use a one-sided test instead of a two-sided test.

• Use a = 0.01 instead of a = 0.05.

• Decrease the sample size to 50 children.

• Increase the sample size to 200 children.

• (A) The mean weight of baseball players is not significantly lower than the mean weight of hockey players at the 0.05 level.

• (B) The mean weight of baseball players is not significantly lower than the mean weight of hockey players at the 0.10 level.

• (C) The mean weight of baseball players is significantly higher than the mean weight of hockey players at the 0.10 level.

• (D) The mean weight of baseball players is significantly lower than the mean weight of hockey players at the 0.05 level.

• (E) The mean weight of baseball players is significantly different from the mean weight of hockey players at the 0.05 level.

A procedure using a sample statistic to make a decision about the validity of a claim.

• Significance Level

• Significance Test

• Confidence Interval

• Confidence Level

• A

• B

• C

• D

• E

Statistics which is concerned with a higher order of critical thinking and judgment.

• Descriptive

• Inferential

• Parametric

• Non Parametric

An event that rarely would have happened just by chance.

• Statistically Significant

• P-value

• Significance Test

• Simulation

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution

The process of drawing conclusions using valid data from samples and making generalizations about a population.

• Validity

• Random Sample

• Sample

• Inferential Statistic