The shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility is unknown. However, records indicate that the mean time is 21.2 minutes, and the standard deviation is 3.2 minutes. Complete pa (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).
The shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility is unknown. However, records indicate that the mean time is 21.2 minutes, and the standard deviation is 3.2 minutes. Complete pa (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 8 ( B )
Transcribed Image Text:**Educational Text: Understanding Oil Change Service Times**
The shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility is unknown. However, records indicate that the mean time is 21.2 minutes, with a standard deviation of 3.2 minutes. Complete parts (a) through (c) below.
**Useful Resources:**
- Click here to view the standard normal distribution table (page 1).
- Click here to view the standard normal distribution table (page 2).
**Questions:**
- **C.** The sample size needs to be greater than 30.
- **D.** The normal model cannot be used if the shape of the distribution is unknown.
**Exercise:**
(b) What is the probability that a random sample of n = 40 oil changes results in a sample mean time less than 20 minutes?
- **Probability Calculation:** Use the appropriate statistical methods to calculate this. Ensure your answer is rounded to four decimal places as needed.
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**Note:** Ensure you use standard normal distribution tables to assist in determining probabilities related to normal distributions.
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