This is a practice problem. Will not be graded. ### Binomial Experiment and Normal ApproximationSuppose we have a binomial experiment in which success is defined as a particular quality or attribute that interests us.#### (a) Suppose $ n = 39 $ and $ p = 0.19 $. Can we approximate $\hat{p}$ by a normal distribution? Why? (Use 2 decimal places.)- **Compute $ np $ and $ nq $:** - $ np = \underline{~~~~~} $ - $ nq = \underline{~~~~~} $- **Approximation Check:** - $\hat{p}$ $\rightarrow$ $ \text{can} / \text{cannot} $ be approximated by a normal random variable because $\underline{~~~~~~~\text{select}~~~~~~~}$.- **Values of $\mu_{\hat{p}}$ and $\sigma_{\hat{p}}$:** (Use 3 decimal places.) - $\mu_{\hat{p}} = \underline{~~~~~}$ - $\sigma_{\hat{p}} = \underline{~~~~~}$---#### (b) Suppose $ n = 25 $ and $ p = 0.15 $. Can we safely approximate $\hat{p}$ by a normal distribution? Why or why not?- $\hat{p}$ $\rightarrow$ $ \text{can} / \text{cannot} $ be approximated by a normal random variable because $\underline{~~~~~~~\text{select}~~~~~~~}$.---#### (c) Suppose $ n = 43 $ and $ p = 0.40 $. Can we approximate $\hat{p}$ by a normal distribution? Why? (Use 2 decimal places.)- **Compute $ np $ and $ nq $:** - $ np = \underline{~~~~~} $ - $ nq = \underline{~~~~~} $- **Approximation Check:** - $\hat{p}$ $\rightarrow$ $ \text{can} / \text{cannot} $ be approximated by a normal random variable because $\underline{~~~~~~~\text{select}~~~~~~~}$.- **Values of $\mu_{\hat{p}}$ and \(\sigma

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Description: This is a practice problem. Will not be graded. ### Binomial Experiment and Normal ApproximationSuppose we have a binomial experiment in which success is defined as a particular quality or attribute that interests us.#### (a) Suppose $ n = 39 $ and

The mean of the sampling distribution of the sample proportion. The standard deviation of the sampling distribution of the sample proportion. Plug in all the values in the formula, we get Round to three decimal places.The mean of the sampling distribution of the sample proportion. The standard deviation of the sampling distribution of the sample proportion. Plug in all the values in the formula, we get Round to three decimal places.

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Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 39 and p = 0.19. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = = bu ---Select-- ,P-Select-- be approximated by a normal random variable because -Select--- What are the values of u and op? (Use 3 decimal places.) Hp %3D Op = %3D (b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not? -Select--,p-Select- be approximated by a normal random variable because -Select-- (c) Suppose n = 43 and p = 0.40. Can we approximate p by a normal distribution? Why? (Use 2 decimal.places.) np = ng = -Select-, p -Select-- be approximated by a normal random variable because -Select-- What are the values of u, and op? (Use 3 decimal places.) Hp = Op

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 39 and p = 0.19. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = = bu ---Select-- ,P-Select-- be approximated by a normal random variable because -Select--- What are the values of u and op? (Use 3 decimal places.) Hp %3D Op = %3D (b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not? -Select--,p-Select- be approximated by a normal random variable because -Select-- (c) Suppose n = 43 and p = 0.40. Can we approximate p by a normal distribution? Why? (Use 2 decimal.places.) np = ng = -Select-, p -Select-- be approximated by a normal random variable because -Select-- What are the values of u, and op? (Use 3 decimal places.) Hp = Op

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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This is a practice problem. Will not be graded.

### Binomial Experiment and Normal Approximation

Suppose we have a binomial experiment in which success is defined as a particular quality or attribute that interests us.

#### (a) Suppose $ n = 39 $ and $ p = 0.19 $. Can we approximate $\hat{p}$ by a normal distribution? Why? (Use 2 decimal places.)

- **Compute $ np $ and $ nq $:**
- $ np = \underline{~~~~~} $
- $ nq = \underline{~~~~~} $

- **Approximation Check:**
- $\hat{p}$ $\rightarrow$ $ \text{can} / \text{cannot} $ be approximated by a normal random variable because $\underline{~~~~~~~\text{select}~~~~~~~}$.

- **Values of $\mu_{\hat{p}}$ and $\sigma_{\hat{p}}$:** (Use 3 decimal places.)
- $\mu_{\hat{p}} = \underline{~~~~~}$
- $\sigma_{\hat{p}} = \underline{~~~~~}$

---

#### (b) Suppose $ n = 25 $ and $ p = 0.15 $. Can we safely approximate $\hat{p}$ by a normal distribution? Why or why not?

- $\hat{p}$ $\rightarrow$ $ \text{can} / \text{cannot} $ be approximated by a normal random variable because $\underline{~~~~~~~\text{select}~~~~~~~}$.

---

#### (c) Suppose $ n = 43 $ and $ p = 0.40 $. Can we approximate $\hat{p}$ by a normal distribution? Why? (Use 2 decimal places.)

- **Compute $ np $ and $ nq $:**
- $ np = \underline{~~~~~} $
- $ nq = \underline{~~~~~} $

- **Approximation Check:**
- $\hat{p}$ $\rightarrow$ $ \text{can} / \text{cannot} $ be approximated by a normal random variable because $\underline{~~~~~~~\text{select}~~~~~~~}$.

- **Values of $\mu_{\hat{p}}$ and \(\sigma

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