Complete parts (a) through (d) for the sampling distribution of the sample mean shown in the accompanying graph. W Click the icon to view the graph. (a) What is the value of u;? Sampling distribution The value of u; is (b) What is the value of o:? The value of o; is (c) If the sample size is n = 16, what is likely true about the shape of the population? O A. The shape of the population is approximately normal. O B. The shape of the population is skewed right. OC. The shape of the population is skewed left. 490 510 O D. The shape of the population cannot be determined. The distribution is normal. The locations of the peak and inflection points are shown. (d) If the sample size is n= 16, what is the standard deviation of the population from which the sample was drawn?
Complete parts (a) through (d) for the sampling distribution of the sample mean shown in the accompanying graph. W Click the icon to view the graph. (a) What is the value of u;? Sampling distribution The value of u; is (b) What is the value of o:? The value of o; is (c) If the sample size is n = 16, what is likely true about the shape of the population? O A. The shape of the population is approximately normal. O B. The shape of the population is skewed right. OC. The shape of the population is skewed left. 490 510 O D. The shape of the population cannot be determined. The distribution is normal. The locations of the peak and inflection points are shown. (d) If the sample size is n= 16, what is the standard deviation of the population from which the sample was drawn?
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 #17
![## Sampling Distribution Exercise
### Tasks
Complete parts (a) through (d) for the sampling distribution of the sample mean shown in the accompanying graph.
### Questions
(a) What is the value of \( \mu_{\bar{x}} \)?
- The value of \( \mu_{\bar{x}} \) is [ ].
(b) What is the value of \( \sigma_{\bar{x}} \)?
- The value of \( \sigma_{\bar{x}} \) is [ ].
(c) If the sample size is \( n = 16 \), what is likely true about the shape of the population?
- A. The shape of the population is approximately normal.
- B. The shape of the population is skewed right.
- C. The shape of the population is skewed left.
- D. The shape of the population cannot be determined.
(d) If the sample size is \( n = 16 \), what is the standard deviation of the population from which the sample was drawn?
- The standard deviation of the population from which the sample was drawn is [ ].
### Graph Explanation
The graph labeled "Sampling distribution" displays a normal distribution. The distribution is symmetric with a peak at 500 and inflection points around 490 and 510. This indicates the sampling distribution of the sample mean is normal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77f69c35-8558-4881-b631-6923950412ef%2F72608900-dd51-4804-9c4e-510221fb448d%2Fj6v5tma_processed.png&w=3840&q=75)
Transcribed Image Text:## Sampling Distribution Exercise
### Tasks
Complete parts (a) through (d) for the sampling distribution of the sample mean shown in the accompanying graph.
### Questions
(a) What is the value of \( \mu_{\bar{x}} \)?
- The value of \( \mu_{\bar{x}} \) is [ ].
(b) What is the value of \( \sigma_{\bar{x}} \)?
- The value of \( \sigma_{\bar{x}} \) is [ ].
(c) If the sample size is \( n = 16 \), what is likely true about the shape of the population?
- A. The shape of the population is approximately normal.
- B. The shape of the population is skewed right.
- C. The shape of the population is skewed left.
- D. The shape of the population cannot be determined.
(d) If the sample size is \( n = 16 \), what is the standard deviation of the population from which the sample was drawn?
- The standard deviation of the population from which the sample was drawn is [ ].
### Graph Explanation
The graph labeled "Sampling distribution" displays a normal distribution. The distribution is symmetric with a peak at 500 and inflection points around 490 and 510. This indicates the sampling distribution of the sample mean is normal.
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