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bezimeni [28]
3 years ago
13

Select All Expressions That Represent The Area Of The Large, Outer Rectangle.

Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:

A, C, and E are your answers

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A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 100 items, th
pochemuha

Answer:

The p-value of the test is of 0.2776 > 0.01, which means that the we accept the null hypothesis, that is, the manager's claim that this is only a sample fluctuation and production is not really out of control.

Step-by-step explanation:

A manufacturer considers his production process to be out of control when defects exceed 3%.

At the null hypothesis, we test if the production process is in control, that is, the defective proportion is of 3% or less. So

H_0: p \leq 0.03

At the alternate hypothesis, we test if the production process is out of control, that is, the defective proportion exceeds 3%. So

H_1: p > 0.03

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.03 is tested at the null hypothesis

This means that \mu = 0.03, \sigma = \sqrt{0.03*0.97}

In a random sample of 100 items, the defect rate is 4%.

This means that n = 100, X = 0.04

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.04 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{100}}}

z = 0.59

P-value of the test

The p-value of the test is the probability of finding a sample proportion above 0.04, which is 1 subtracted by the p-value of z = 0.59.

Looking at the z-table, z = 0.59 has a p-value of 0.7224

1 - 0.7224 = 0.2776

The p-value of the test is of 0.2776 > 0.01, which means that the we accept the null hypothesis, that is, the manager's claim that this is only a sample fluctuation and production is not really out of control.

4 0
2 years ago
6.04 times 10 to the power of -3 as an ordinary number
Otrada [13]
6.04 x 10 ⁻³ = 0.00604

4 0
3 years ago
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The value for √10 is approximately between 3 and 4. Approximate further to find the values to the tenths place that √10 is betwe
kondor19780726 [428]
I also need help with this!!
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3 years ago
Which test point holds true for the inequality 3/2y-2x>=1? Where does the shaded area lie for this inequality? The test point
Tanya [424]

The test That holds true for this inequality is given as 1/4 and 1

<h3>How to solve for the inequality</h3>

3/2 y - 2x > 1

The goal is to make y the subject

then

3/2 y > 2x + 1

We have to divide through the equation by 3/2

Such that  y  > 4/3 x + 2/3

Read more on inequality here: brainly.com/question/25275758

#SPJ1

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1 year ago
Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-
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Answer:

16

Step-by-step explanation:

correct on Edg

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