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shtirl [24]
3 years ago
15

Did I do this one right? My geometry didn't go over this topic too well​

Mathematics
2 answers:
yan [13]3 years ago
6 0
Yes
U r very good
Can u teach me I’m new
My actual name Naheed
Fynjy0 [20]3 years ago
6 0

Answer: Yes!! Your writting is amazing!

Step-by-step explanation:

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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
Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?
Kobotan [32]

9514 1404 393

Answer:

  156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

  A = 1/2bh + LW

  A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

  V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

8 0
3 years ago
When adding two rational numbers,if a pair of addends has opposite signs ,then the sum will have the sign of the addenda with th
____ [38]
When adding two rational numbers,if a pair of addends has opposite signs ,then the sum will have the sign of the addenda with the greater  value among the two.

These examples can better illustrate this concept:
Example 1:
23 + (-3) = 20 (The greater among the two is positive and the result is also positive)

Example 2:
-23 + 3 = -20 (The greater among the two is negative and the result is also negative)
6 0
3 years ago
In a radio station contest, the first prize is $2,000 and the second prize is $500. The probability of winning the first prize i
lana [24]
I think the answer is $14
3 0
3 years ago
Read 2 more answers
12. Sean lives 2.25 miles<br> from school. Write this<br> distance as a fraction in simplest form.
mars1129 [50]
It would be 2 1/4 because .25 in fraction form is 1/4 because it is a quarter and then 2
4 0
3 years ago
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