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ipn [44]
3 years ago
14

Which expression should you multiply the numerator and denominater of

Mathematics
1 answer:
il63 [147K]3 years ago
6 0

Answer: The third one

Step-by-step explanation: I just did the question on edge. ,and I got it right.

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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
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B4%7D%7Bx%5E%7B2%7D-2x-8%20%7D" id="TexFormula1" title="\frac{2x+4}{x^{2}-2x-8 }
lisabon 2012 [21]

Answer:

\frac{2}{x-4}

Step-by-step explanation:

\frac{2x+4}{x^2-2x-8}

Factor both the numerator and denominator

\frac{2(x+2)}{(x-4)(x+2)}

The x+2 's cancel out

The equation in its simplest form is \frac{2}{x-4}

Hope this helps!

6 0
2 years ago
On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept? (1 point) −9 −6 6 9
azamat

Answer: The answer is y=9 i did the math twice to make sure.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
6x+5x-8=-41 what property is this ?
Allisa [31]

Standard form

6x+5x-8 =-41

Is in standard form

6 0
3 years ago
An octagon can be used to form a pure tessellation. T or F
kap26 [50]
I think it is F. Because im just guessing.

3 0
3 years ago
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