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son4ous [18]
3 years ago
7

Find the sum of the following series:

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0

Answer:

The sum is 2635

Step-by-step explanation:

I did this problem

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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
3 years ago
If y=2x+10 and X= -2 then what is y
lara [203]
Y=2•(-2)+10
Y=-4+10
Y=6
8 0
3 years ago
Read 2 more answers
Need help with this please help
elena-14-01-66 [18.8K]
There is 24 avocados in each crate

Divide 8640 and 360 to get 24

Hope this will help you!
7 0
2 years ago
Brianna has 0.15 liter of a liquid. She will use 0.4 of this liquid. How many liters will she use?
alukav5142 [94]

Answer: 0.0375

Step-by-step explanation:

0.15 divided by 4 = 0.0375

4 0
3 years ago
Locate and label each set of points on the coordinate plane. Describe similarities of the ordered pairs in each set,
Leya [2.2K]

Answer:

THX FOR FREE POINT

Step-by-step explanation:

THANK YOU

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3 years ago
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