### Sampling Distribution and Sample Mean#### Question c**Prompt:** If you take a sample of size 36, can you say what the shape of the distribution of the sample mean is? **Options:** - Yes [Selected]- No **Explain why or why not:** - [ ] population is normal - [ ] population is not normal - [ ] σ (sigma) is known - [ ] n is at least 30 - [ ] n is less than 30 - [ ] σ (sigma) is unknown #### Question dFor a sample of size 36, state the mean and the standard deviation of the sampling distribution of the sample mean.- **Mean of the sampling distribution of the sample mean when n = 36:** (Input box)- **Standard deviation of the sampling distribution of the sample mean when n = 36 rounded to two decimal places:** (Input box)These exercises explore the characteristics of the sampling distribution of the sample mean, using the Central Limit Theorem and its assumptions depending on the sample size $ n $. **A random variable X is not normally distributed. It has a mean of 33 and a standard deviation of 7.****List the givens with correct symbols:**- $\mu = 33$- $\sigma = 7$**a) If you take a sample of size 17, can you say what the shape of the sampling distribution for the sample mean is?**- (Dropdown menu: $\sigma$, $X$, $p$, $N$, $s$, $\overline{X}$, $\mu$, $n$)**Why or why not? Check all that apply.**- [ ] $\sigma$ is unknown- [x] $n$ is less than 30- [ ] $\sigma$ is known- [ ] $n$ is at least 30- [x] population is not normal- [ ] population is normal**b) For a sample of size 17, state the mean and the standard deviation of the sampling distribution of the sample mean.**- **Mean of the sampling distribution of the sample mean when $n = 17$:** $\_\_\_\_\_\_\_\_\_) - **Standard deviation of the sampling distribution of the sample mean when \(n = 17$ rounded to two decimal places:** $\_\_\_\_\_\_\_\_\_\_$**c) If you take a sample of size 36, can you say what the shape of the distribution of the sample mean is?**---**Notes:**- The dropdown and checkboxes are likely part of an interactive exercise for students to complete.- The exercise involves understanding sampling distributions and the Central Limit Theorem, particularly how sample size affects the distribution of the sample mean.

Name: ### Sampling Distribution and Sample Mean#### Question c**Prompt:** I
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Description: ### Sampling Distribution and Sample Mean#### Question c**Prompt:** If you take a sample of size 36, can you say what the shape of the distribution of the sample mean is? **Options:** - Yes [Selected]- No **Explain why or why not:** - [ ] popula

Given that X is not normally distributed . It has a mean of 33 and standard deviation of 7 . Define…

Math

Statistics

c) If you take a sample of size 36, can you say what the shape of the distribution of the sample mean is? v ? Yes No vhy not? population is normal population is not normal o is known On is at least 30 On is less than 30 Oo is unknown d) For a sample of size 36, state the mean and the standard deviation of the sampling distribution of the sample mean. mean of the sampling distribution of the sample meanwhen n = 36: standard deviation of the sampling distribution of the sample mean when n = 36 rounded to two decimal places: O O O O O

c) If you take a sample of size 36, can you say what the shape of the distribution of the sample mean is? v ? Yes No vhy not? population is normal population is not normal o is known On is at least 30 On is less than 30 Oo is unknown d) For a sample of size 36, state the mean and the standard deviation of the sampling distribution of the sample mean. mean of the sampling distribution of the sample meanwhen n = 36: standard deviation of the sampling distribution of the sample mean when n = 36 rounded to two decimal places: O O O O O

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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