Math Problem Statement
Consider the following hypotheses and the sample data in the accompanying table. Answer the following questions using alpha = 0.02. LOADING... Click the icon to view the data table. Upper H 0: mu equals 10 Upper H 1: mu not equals 10 a) Determine the critical value(s). The critical value(s) is(are) enter your response here. (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Solution
To solve this problem, let's work step-by-step:
Hypotheses:
- (null hypothesis)
- (alternative hypothesis)
This is a two-tailed test since the alternative hypothesis specifies .
Significance Level:
The significance level is .
Critical Value Determination:
-
Critical Region:
- For a two-tailed test, the total significance level is split equally between the two tails: in each tail.
-
**Determine the ( z
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Two-Tailed Test
Critical Values
Formulas
Z = (X̄ - μ) / (σ / √n)
Critical Z-values for a two-tailed test
Theorems
Standard Normal Distribution
Critical Value Theorem
Suitable Grade Level
Undergraduate (Introductory Statistics)
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