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3 years ago

Find the difference between theproduct of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712.

2 answers:

7 0

The difference between the product of 26.22 and 3.09 and sum of 3.507, 2.08, 11.5 and 16.712

Now this looks messy, change them into numerals:
(26.22 × 3.09) - (3.507 + 2.08 + 11.5 + 16.712)
Clear the parenthesis:
81.0198 - 33.799
Subtract:
47.2208

Answer is: A. 47.2208

ioda3 years ago

6 0

26.22× 3.09 ≈ 81.0198– 3.507 ≈ 7 7.5128– 2.08 ≈ 75.4328– 11.5 ≈ 63.9328– 16.712
≈47.2208 Your answer is A

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Given that:

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(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean $\mu_{\hat p} = p = 0.39$

the standard deviation $\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }$

$\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }$

$\sigma_{\hat p} =0.0244$

The test statistics can be computed as:

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$Z = \dfrac{0.3 - 0.39 }{0.0244}$

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As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion that is less than 30% also decreases.

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Step-by-step explanation:

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