. What is the p-value?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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### Problem Statement:

A safety officer wants to prove that \( \mu \) (the average speed of cars driven by a school) is less than 25 mph. Suppose that a random sample of 14 cars shows an average speed of 24.0 mph, with a sample standard deviation of 2.2 mph. Assume that the speeds of cars are normally distributed. What is the p-value?

### Answer Choices:
- between 0.01 and 0.025
- between 0.10 and 0.25
- between 0.025 and 0.05
- between 0.05 and 0.10

### Instructions:
1. Evaluate the problem statement.
2. Calculate the test statistics using appropriate methods for hypothesis testing.
3. Compare the test statistic to the standard normal distribution to find the p-value range.
4. Select the correct answer based on your calculations.
Transcribed Image Text:### Problem Statement: A safety officer wants to prove that \( \mu \) (the average speed of cars driven by a school) is less than 25 mph. Suppose that a random sample of 14 cars shows an average speed of 24.0 mph, with a sample standard deviation of 2.2 mph. Assume that the speeds of cars are normally distributed. What is the p-value? ### Answer Choices: - between 0.01 and 0.025 - between 0.10 and 0.25 - between 0.025 and 0.05 - between 0.05 and 0.10 ### Instructions: 1. Evaluate the problem statement. 2. Calculate the test statistics using appropriate methods for hypothesis testing. 3. Compare the test statistic to the standard normal distribution to find the p-value range. 4. Select the correct answer based on your calculations.
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