Suppose a simple random sample of size $ n = 36 $ is obtained from a population with $ \mu = 76 $ and $ \sigma = 24 $.(a) Describe the sampling distribution of $\bar{x}$.(b) What is $ P(\bar{x} > 80.8) $?(c) What is $ P(\bar{x} \leq 66.8) $?(d) What is $ P(70 < \bar{x} < 85.2) $?Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).### (a) Choose the correct description of the shape of the sampling distribution of $\bar{x}$.- A. The distribution is skewed right.- B. The distribution is uniform.- C. **The distribution is approximately normal.** (Selected)- D. The distribution is skewed left.- E. The shape of the distribution is unknown.Find the mean and standard deviation of the sampling distribution of $\bar{x}$.- $\mu_{\bar{x}} = 76$- $\sigma_{\bar{x}} = 4$(b) $ P(\bar{x} > 80.8) = \Box $ (Round to four decimal places as needed.)

Answered: Image /qna-images/answer/27c3a208-ba62-445a-9120-ff44225d6178.jpg

Suppose a simple random sample of size n= 36 is obtained from a population with u = 76 and o = 24. (a) Describe the sampling distribution of x. (b) What is P (x> 80.8) ? (c) What is P (xs 66.8) ? (d) What is P (70 80.8) = (Round to four decimal places as needed.) %3D

Suppose a simple random sample of size n= 36 is obtained from a population with u = 76 and o = 24. (a) Describe the sampling distribution of x. (b) What is P (x> 80.8) ? (c) What is P (xs 66.8) ? (d) What is P (70 80.8) = (Round to four decimal places as needed.) %3D

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Suppose a simple random sample of size $ n = 36 $ is obtained from a population with $ \mu = 76 $ and $ \sigma = 24 $.

(a) Describe the sampling distribution of $\bar{x}$.

(b) What is $ P(\bar{x} > 80.8) $?

(c) What is $ P(\bar{x} \leq 66.8) $?

(d) What is $ P(70 < \bar{x} < 85.2) $?

Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).

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

- A. The distribution is skewed right.
- B. The distribution is uniform.
- C. **The distribution is approximately normal.** (Selected)
- D. The distribution is skewed left.
- E. The shape of the distribution is unknown.

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

- $\mu_{\bar{x}} = 76$
- $\sigma_{\bar{x}} = 4$

(b) $ P(\bar{x} > 80.8) = \Box $ (Round to four decimal places as needed.)

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