E. Ho p= 5000 OF H:p25000 Hap# 5000 H u#5000 Calculate the standardized test statistic. The standardized test statistic is 5.53. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice (Round to two decimal places as needed.) A The critical values are + B. The critical value is Help me solve this View an example Get more help - Copyrignt o 2021 Pearson Education inc. All rights reserved. I lerms or use

A First Course in Probability (10th Edition)
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**Testing the Claim About the Population Mean**

**Objective:** Test the claim about the population mean, \( \mu \), at the given level of significance using the provided sample statistics.

**Given:**
- Claim: \( \mu \neq 5000 \)
- Significance level (\( \alpha \)): 0.08
- Population standard deviation (\( \sigma \)): 368
- Sample mean (\( \bar{x} \)): 5300
- Sample size (\( n \)): 46

**Hypothesis Testing:**

1. **Null Hypothesis (\( H_0 \)):** \( \mu = 5000 \)  
   **Alternative Hypothesis (\( H_a \)):** \( \mu \neq 5000 \)

2. **Calculate the Standardized Test Statistic:**

   The standardized test statistic is calculated as 5.53. 
   (This value is rounded to two decimal places as needed.)

3. **Determine the Critical Value(s):**

   - Option A: The critical values are \( \pm \)
   - Option B: The critical value is 

   (Round to two decimal places as needed.)

**Note:** The correct choice must be filled in the answer box to complete your choice of critical values.

**Resources:**
- If you need assistance solving this problem, refer to educational resources or help sections provided by your instructor or textbook.

\( \copyright \) 2021 Pearson Education Inc. All rights reserved.

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This page provides guidance on how to conduct hypothesis testing for a population mean using sample statistics, reinforcing statistical principles taught in introductory statistics courses.
Transcribed Image Text:**Testing the Claim About the Population Mean** **Objective:** Test the claim about the population mean, \( \mu \), at the given level of significance using the provided sample statistics. **Given:** - Claim: \( \mu \neq 5000 \) - Significance level (\( \alpha \)): 0.08 - Population standard deviation (\( \sigma \)): 368 - Sample mean (\( \bar{x} \)): 5300 - Sample size (\( n \)): 46 **Hypothesis Testing:** 1. **Null Hypothesis (\( H_0 \)):** \( \mu = 5000 \) **Alternative Hypothesis (\( H_a \)):** \( \mu \neq 5000 \) 2. **Calculate the Standardized Test Statistic:** The standardized test statistic is calculated as 5.53. (This value is rounded to two decimal places as needed.) 3. **Determine the Critical Value(s):** - Option A: The critical values are \( \pm \) - Option B: The critical value is (Round to two decimal places as needed.) **Note:** The correct choice must be filled in the answer box to complete your choice of critical values. **Resources:** - If you need assistance solving this problem, refer to educational resources or help sections provided by your instructor or textbook. \( \copyright \) 2021 Pearson Education Inc. All rights reserved. --- This page provides guidance on how to conduct hypothesis testing for a population mean using sample statistics, reinforcing statistical principles taught in introductory statistics courses.
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