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3 years ago

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7 of every 20 employees at v&b bank company are between the ages of 20 and 30 if there are 13220 employees at B&B Bank c

ompany how many are between the ages of 20 and 30

1 answer:

SCORPION-xisa [38]3 years ago

4 0

Hello! 7/20 employees are between the ages of 20 and 30. That's 35% of employees, because 7/20 is 0.35 and 0.35 * 100 is 35. To find the amount of employees in that age range, all you have to do is multiply 35% by the total number of employees. 13,220 * 35% (0.35) is 4,627. There. 4,627 employees that work at the B&B bank are between the ages of 20 and 30.

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Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

$H_0: \mu = 16$

At the alternative hypothesis, it is tested if the mean is different, hence:

$H_1: \mu \neq 16$

<h3>What is the test statistic?</h3>

The test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the population.

n is the sample size.

The parameters for this problem are:

$\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150$ .

Hence:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}$

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

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2 years ago

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Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below. Which statements about the function are true?

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The length of the bridge is the distance from the beginning to the end.

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<em /> $b \to$ <em> distance between each I beam</em>

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<em />

From the diagram (see attachment), there are: 6 I-beams.

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There are 2 I-beams beside the bridge

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$L_2 = 5 \times b$

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So, we have:

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$5b = 55ft\ 6in - 4.5ft - 6ft$

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$b = 9ft$

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