The height of women ages 20-29 is normally distributed, with a mean of 63.9 inches. Assume o = 2.8 inches. Are you more likely to randomly select 1 woman with a height less than 64.5 inches or are you more likely to select a sample of 25 women with a mean height less than 64.5 inches? Explain. E Click the icon to view page 1 of the standard normal table, E Click the icon to view page 2 of the standard normal table. What is the probability of randomlly selecting 1 woman with a height less than 64.5 inches? (Round to four 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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**Statistics Problem: Normal Distribution of Heights**

The problem focuses on the height distribution of women aged 20-29, which is normally distributed. Here are the key details and the problem to solve:

- **Mean height (\(\mu\))**: 63.9 inches
- **Standard deviation (\(\sigma\))**: 2.8 inches

**Question**: Are you more likely to randomly select 1 woman with a height less than 64.5 inches, or select a sample of 25 women with a mean height less than 64.5 inches? Explain your reasoning.

**Steps to Solve**:

1. **Accessing Data**: 
   - Use the standard normal table to find probabilities.
   - Two options are provided to access the standard normal table (Page 1 and Page 2).

2. **Probability Calculation**:
   - Determine the probability of randomly selecting one woman with a height less than 64.5 inches.
   - Input your answer rounded to four decimal places.

**Instructions**: 
- Enter your answer in the space provided.
- Click "Check Answer" to verify your solution.

(Note: The page contains no graphs or diagrams, only text and interactive elements for input and verification of answers.)
Transcribed Image Text:**Statistics Problem: Normal Distribution of Heights** The problem focuses on the height distribution of women aged 20-29, which is normally distributed. Here are the key details and the problem to solve: - **Mean height (\(\mu\))**: 63.9 inches - **Standard deviation (\(\sigma\))**: 2.8 inches **Question**: Are you more likely to randomly select 1 woman with a height less than 64.5 inches, or select a sample of 25 women with a mean height less than 64.5 inches? Explain your reasoning. **Steps to Solve**: 1. **Accessing Data**: - Use the standard normal table to find probabilities. - Two options are provided to access the standard normal table (Page 1 and Page 2). 2. **Probability Calculation**: - Determine the probability of randomly selecting one woman with a height less than 64.5 inches. - Input your answer rounded to four decimal places. **Instructions**: - Enter your answer in the space provided. - Click "Check Answer" to verify your solution. (Note: The page contains no graphs or diagrams, only text and interactive elements for input and verification of answers.)
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