he graph of the waiting time (in seconds) at a red light is shown below on the left with its mean and standard deviation. Assume that a sample size of 225 is dra rom he population. Decide which of the graphs labeled (a)-(c) would most closely resemble the sampling distribution of the sample means. Explain your reasonim P(x) (.04- 0.04- G: =11.7 - 11.7 0.78 O=11.7 =18.9 T 18.9 18.9 04 0. 50 Time (in sec.) 50 Time (in sec.) Time (in sec.) Time (in sec.) Graph V most closely resembles the sampling distribution of the sample means, because p- =.0: = and the graph (Type an integer or a decimal.) Rel. frequency kouanbay pa
he graph of the waiting time (in seconds) at a red light is shown below on the left with its mean and standard deviation. Assume that a sample size of 225 is dra rom he population. Decide which of the graphs labeled (a)-(c) would most closely resemble the sampling distribution of the sample means. Explain your reasonim P(x) (.04- 0.04- G: =11.7 - 11.7 0.78 O=11.7 =18.9 T 18.9 18.9 04 0. 50 Time (in sec.) 50 Time (in sec.) Time (in sec.) Time (in sec.) Graph V most closely resembles the sampling distribution of the sample means, because p- =.0: = and the graph (Type an integer or a decimal.) Rel. frequency kouanbay pa
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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Transcribed Image Text:The text presents a problem about determining which graph most closely resembles the sampling distribution of sample means for the waiting time (in seconds) at a red light.
### Description:
1. **Graphs Provided:**
- Three graphs labeled (a), (b), and (c) are shown. Each graphs the waiting time against relative frequency.
2. **Graph Details:**
- **Graph (a):**
- Displays two curves: a solid line and a dashed line.
- Solid line: \( \mu = 11.7 \)
- Dashed line: \( \mu = 9.9 \)
- **Graph (b):**
- Displays two curves: a solid line and a dashed line.
- Solid line: \( \mu = 11.7 \)
- Dashed line: \( \mu = 18.9 \)
- **Graph (c):**
- Displays a solid line indicating sample characteristics.
- \( \sigma_x = 0.78 \)
- \( \mu_x = 18.9 \)
3. **Question Prompt:**
- Determine which graph most closely resembles the sampling distribution of the sample means.
- Input fields are provided for the mean \( \mu_{\bar{x}} \), standard deviation \( \sigma_{\bar{x}} \), and the selection of the graph.
### Interpretation:
To answer the question, consider the properties of a sampling distribution—specifically the sample mean and standard deviation. The key here is to identify how the characteristics of the sample alter the underlying graph representation.
**Input:**
- Type the identifying number for the graph.
- Enter the mean \( \mu_{\bar{x}} \) and standard deviation \( \sigma_{\bar{x}} \) of the sampling distribution.
Choose the correct graph based on the central tendency and spread that match those of the distribution derived from a sample size of 225.
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