Test-Comparing 2 Populations or Treatments

What requirements must be checked before testing a claim about population means?

• There must be at least 5 successes and 5 failures in each sample.

• The sample data from one population must be normal or n > 30.

• The distributions from both samples must be normal.

• The sample data from both populations must be normal or n > 30.

What distribution do we use when testing claims about population means?

• F

• Z

• t

• Chi

Tags

CCSS.HSS.ID.A.4

Using a 95% confidence level, construct a confidence interval to test the claim that those treated with magnets have a greater mean pain reduction in pain than those who receive a sham (placebo) treatment.

• (-0.45, 0.55)

  Contains zero – no difference

• (-0.6, 0.7)

  Contains zero – no difference

• (-0.99, 1.09)

  Contains zero – no difference

• (-0.72, 0.82)

  Contains zero – no difference

Tags

CCSS.HSS.IC.B.4

To compare 2 dog-training programs, an obedience school trained 43 dogs using Program A and 41 dogs using Program B. For Program A, the average number of training hours required was 24.8 with a standard deviation of 3.1 hours. For Program B, the mean was 22.9 hours with a standard deviation of 3.3 hours. Is there a significant difference between the two programs?

• One-Sample Z Test for a Proportion
• One-Sample Z Test for a Mean
• Two-Sample T Test for the Difference in Means
• Two-Sample Z Test for the Difference in Means

Tags

CCSS.HSS.ID.A.4

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

• using a small level of significance
• using a large level of significance
• obtaining data with a small p-value
• obtaining data with a low test statistic

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

• a) Reject the null hypothesis

• b) Reject the alternative hypothesis

• c) Fail to reject the null hypothesis

• d) Fail to reject the alternative hypothesis

When p-value is greater than alpha we:

• Reject Ho

• Fail to reject Ha

• Fail to reject Ho

• Reject Ha

To test a claim made about a difference of proportions.

• 2 Sample Z-Test

• 2 Sample T-Test

• Paired T-Test

To test a claim made about a difference of means from two samples.

Standard deviation of the populations unknown.

• 2 Sample Z-Test

• 2 Sample T-Test

• Paired T-Test

Tags

CCSS.7.SP.B.4