Testing Hypotheses

In this lab, you will examine the performance of Ithaca High School students on the SAT-I tests. The datafile contains the Verbal scores, Math scores, and Genders of the senior class. We will think of this group as a sample of all students from Ithaca High who might take the test over several years.

Table of Contents

The Datafile

The Assignment

Your assignment is to answer the questions below. For each, you should
txt file Create appropriate hypotheses
  Have DataDesk run the test ‡ (at the 5% level of significance)
Print out the result
txt file Carefully state your conclusion in context.

Some help with DataDesk

  • For a one sample t -test, start by selecting the appropriate variables as Y . For a 2-sample or matched pairs test, select the two variables of interest as Y and X .
  • To perform an hypothesis Test , go to the Calc menu.
  • Be sure to pick the t -procedure appropriate for the question you are trying to answer: one sample (individual), matched pairs, or 2 independent samples.
  • Specify the hypothesized value of the parameter in the null hypothesis box, and then choose the appropriate lower-tail, upper-tail, or two-tailed alternative.
  • To test for gender-based differences, you must first select the variable of interest ( Verbal for example) as Y , and Gender as X . Then ManipSplit into Variables by Group . This will give you two new variables, Verbal.1 for boys' scores, and Verbal.2 for the girls' scores.

The Questions

  1. Do Ithaca High students score significantly higher on the SAT-Verbal than the national average of 505?
  2. Do Ithaca High students score significantly higher on the SAT-Math than the national average of 514?
  3. Is there a significant difference between the Verbal and math scores of Ithaca High students? If so, create a confidence interval to help you explain which average is higher and by how much.
  4. Is there a significant difference in performances of IHS boys ( Gender = 1) and girls ( Gender = 2) on the Verbal exam? If so, create a confidence interval to help you explain which average is higher and by how much.
  5. Is there a significant difference in the performances of IHS boys and girls on the Math exam? If so, create a confidence interval to help you explain which average is higher and by how much.

The End!

Your completed assignment is due in lab next week.

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Revision: LabOnTestingHypotheses - r1.7 17 Apr 2007 - 17:29 - Dick Furnas