Purchase Solution

Two-Sample Tests and Evidence

Not what you're looking for?

Ask Custom Question

A teacher claims that a grammar seminar will help students reduce the number of grammatical errors they make when writing a 1000-word essay. The table shows the number of grammatical errors made by seven students before participating in the seminar and after participating in the seminar.

Student 1 2 3 4 5 6 7
Errors (before) 15 10 12 8 5 4 9
Errors (after) 11 9 6 5 1 0 9

(2) Which two-sample test should you use for this situation?

(18) Is there enough evidence to conclude that the seminar reduced the number of errors? Use a significance level of ±=0.05. You must state the hypotheses, determine the test statistic, and either the P-value(s) or critical value(s). Finally, you must clearly state your conclusion. Round all answers to two decimal places.

Purchase this Solution

Solution Summary

This solution helps determine the correct two-sample test to use and discusses whether there is enough evidence to conclude that the seminar reduced the number of errors.

Solution Preview

Please refer to the attachments.

We shall use paired sample t-test to test the given hypothesis.
Null and Alternate Hypothesis:

Null hypothesis, H0: u1 (less than or equal to) u2
Alternate hypothesis: H1: u1 > u2

Critical Value and Decision Rule:
Since the alternative hypothesis is the given test is an upper-tail ...

Purchase this Solution


Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.