Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 8 - Hypothesis Testing - 8-2 z Test for a Mean - Exercises 8-2 - Page 435: 3

Answer

Step 1 : $H_0$: µ = 24 billion of dollars, $H_1$: µ $\gt$ 24 billion of dollars Step 2: Since α = 1-0.05=0.95, and the test is a right-tailed test, the critical values are 1.645. Step 3: $\bar{X}$ = 31.7 billion dollars , µ = 24 billion dollars, σ = 28.7, n = 50 Test value = z = $\frac{\bar{X}- µ }{σ / \sqrt n}$ = $\frac{31.7- 24 }{28.7 / \sqrt 50}$ = 1.897 Step 4 : Since the test value falls beyond the critical value, the decision is to reject the null hypothesis. Step 5: There is enough evidence to support the claim the researcher’s claim.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.