Explore BrainMass

# Independent samples t-test for difference in means

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

The makers of Bounce Back glass backboards for basketball gymnasiums have claimed that their board is at least as durable, on the average, as the leading backboard made by Swoosh Company. Products Testing Services of Des Moines, Iowa, was hired to verify this claim. It selected a random sample of 50 backboards of each type and subjected the boards to a pressure test to determine how much weight hung from a basketball rim it would take to break the fiberglass backboard. The following results were determined from the testing process.

SWOOSH BOUNCEBACK
m= 691 lb m = 653 lb
s = 112 lb s = 105 lb

a. Assuming that the more pounds needed to break the backboard, the better it is, state the appropriate null and alternative hypotheses.

b. At a significance level of 0.01, what conclusion should be reached with respect to the claim made by the Bounce Back Company? Discuss.

c. Suppose the hypothesis test was conducted at a significance level of 0.10 instead of 0.01. Would this change the conclusion reached based on the sample data? If so, discuss why; if not, discuss why not.

https://brainmass.com/statistics/students-t-test/independent-samples-t-test-for-difference-in-means-17566

#### Solution Preview

This is a large sample, independent samples, hypothesis test (t-test) ...

#### Solution Summary

This is a large sample, independent samples, hypothesis test (t-test) for the difference between two population means. The explanation shows how the significance level (alpha) affects the decision we make when we test hypotheses.

\$2.49

### Free BrainMass Quizzes

• Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

• 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.

• Measures of Central Tendency

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