A sporting goods store believes the average age of its customers is 37 or less. A random sample of 45 customers was surveyed, and the average customer age wa found to be 40.3 years. Assume the standard deviation for customer age is 9.0 years. Using a =0.10, complete parts a and b below. a. Does the sample provide enough evidence to refute the age claim made by the sporting goods store? Determine the null and alternative hypotheses. Ho: H:H The z-test statistic is (Round to two decimal places as needed.)
A sporting goods store believes the average age of its customers is 37 or less. A random sample of 45 customers was surveyed, and the average customer age wa found to be 40.3 years. Assume the standard deviation for customer age is 9.0 years. Using a =0.10, complete parts a and b below. a. Does the sample provide enough evidence to refute the age claim made by the sporting goods store? Determine the null and alternative hypotheses. Ho: H:H The z-test statistic is (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:**Statistical Hypothesis Testing Example**
A sporting goods store believes the average age of its customers is 37 or less. A random sample of 45 customers was surveyed, and the average customer age was found to be 40.3 years. Assume the standard deviation for customer age is 9.0 years. Using α = 0.10, complete the following tasks:
### a. Test the Age Claim
Does the sample provide enough evidence to refute the age claim made by the sporting goods store?
**Step 1: Determine Hypotheses**
- **Null Hypothesis (H₀):** The average age of customers (μ) is 37 years or less.
- **Alternative Hypothesis (H₁):** The average age of customers (μ) is greater than 37 years.
**Step 2: Calculate Test Statistic**
Find the z-test statistic. (Round to two decimal places as needed.)
**Step 3: Identify Critical Z-Score(s)**
Determine the critical z-score(s). (Round to two decimal places as needed. Use a comma to separate answers as needed.)
**Step 4: Decision**
Based on the test statistic, decide whether to reject or fail to reject the null hypothesis.
### b. Determine the p-value for this test
Find the p-value. (Round to three decimal places as needed.)
**Enter your answer in the provided answer boxes.**
---
Note: This example is for educational purposes, demonstrating the process of hypothesis testing using z-scores and p-values.
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