A simple random sample of size $ n = 36 $ is obtained from a population with $ \mu = 85 $ and $ \sigma = 12 $.1. **Describe the sampling distribution of $\bar{x}$.**2. **What is $ P(\bar{x} > 87.2) $?**3. **What is $ P(\bar{x} < 80.6) $?**4. **What is $ P(83.5 < \bar{x} < 88.7) $?**(a) **Choose the correct description of the shape of the sampling distribution of $\bar{x}$:**- $ \circ $ The distribution is skewed left.- $ \checkmark $ The distribution is approximately normal.- $ \circ $ The distribution is skewed right.- $ \circ $ The distribution is uniform.- $ \circ $ The shape of the distribution is unknown.**Find the mean and standard deviation of the sampling distribution of $\bar{x}$:**- $\mu_{\bar{x}} =$ [ ]- $\sigma_{\bar{x}} =$ [ ]

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A simple random sample of size n = 36 is obtained from a population with u = 85 and o = 12. (a) Describe the sampling distribution of x. (b) What is P (x> 87.2) ? (c) What is P (xs 80.6) ? (d) What is P (83.5

A simple random sample of size n = 36 is obtained from a population with u = 85 and o = 12. (a) Describe the sampling distribution of x. (b) What is P (x> 87.2) ? (c) What is P (xs 80.6) ? (d) What is P (83.5

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

A simple random sample of size $ n = 36 $ is obtained from a population with $ \mu = 85 $ and $ \sigma = 12 $.

1. **Describe the sampling distribution of $\bar{x}$.**
2. **What is $ P(\bar{x} > 87.2) $?**
3. **What is $ P(\bar{x} < 80.6) $?**
4. **What is $ P(83.5 < \bar{x} < 88.7) $?**

(a) **Choose the correct description of the shape of the sampling distribution of $\bar{x}$:**

- $ \circ $ The distribution is skewed left.
- $ \checkmark $ The distribution is approximately normal.
- $ \circ $ The distribution is skewed right.
- $ \circ $ The distribution is uniform.
- $ \circ $ The shape of the distribution is unknown.

**Find the mean and standard deviation of the sampling distribution of $\bar{x}$:**

- $\mu_{\bar{x}} =$ [ ]
- $\sigma_{\bar{x}} =$ [ ]

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