Estimate the true difference in mean test scores

Reference no: EM131402636

Mathematics and gender:

On average, do males outperform females in mathematics? To answer this question, psychologists at the University of Minnesota compared the scores of male and female eighth-grade students who took a basic skills mathematics achievement test (American Educational Research Journal, Fall 1998). One form of the test consisted of 68 multiple-choice questions. A summary of the test scores is displayed in the table.

647_Tab 1.jpg

(a) Is there evidence of a difference between the true mean mathematics test scores of male and female eighth-graders?

(b) Use a 90% confidence interval to estimate the true difference in mean test scores between males and females. Does the confidence interval support the result of the test you conducted in part a?

(c) What assumptions about the distributions of the populations of test scores are necessary to ensure the validity of the inferences you made in parts a and b?

(d) What is the observed significance level of the test you conducted in part a?

(e) The researchers hypothesized that the distribution of test scores for males is more variable than the distribution for females. Test this claim at α = .05.

Reference no: EM131402636

Questions Cloud

Increasing sample size influences : Briefly explain how increasing sample size influences each of the following. Assume that all other factors are held constant.

Why data should be analyzed as paired difference experiment : One goal of the research is to compare the mean reaction times of subjects in the two experimental conditions. Explain why the data should be analyzed as a paired-difference experiment.

What is the power of the hypothesis test : a. If the researcher uses a two-tailed test with ox=.05, what is the power of the hypothesis test? b. again assuming a two-tailed test with ox=.05, what is the power of the hypothesis test if the sample size is increased to n=25?

Normal distribution of scores : Montarello and Martens (2005) found that fifth-grade students completed more mathematics problems correctly when simple problems were mixed in with their regular math assignments.

Estimate the true difference in mean test scores : Use a 90% confidence interval to estimate the true difference in mean test scores between males and females. Does the confidence interval support the result of the test you conducted in part a?

Identify the biome in which you live : For this assignment, identify the biome in which you live. The following are a few examples of biomes: Tropical rainforests: This biome has high average temperatures, high moisture levels, and high species diversity

Specify the appropriate hypotheses for testing : Specify the appropriate hypotheses for testing whether male students' attitudes toward their fathers differ from their attitudes toward their mothers, on average.

Construct a frequency distribution of temperatures : Use this information to find the upper and lower limits (in degrees Fahrenheit) of the first class if you wish to construct a frequency distribution of temperatures throughout that particular year using 10 classes.

What competing products exist in your marketplace : What competing products/services exist in your marketplace? Describe your competitors' primary competitive advantages and compare theirs to your company's competitive advantage.

User Account

All Pages