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Sergio039 [100]
3 years ago
12

If 20 wall paintings can be done in 4 weeks how much time does it take to prepare 80 wall paintings using unit rate form?

Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0
Simplest way would be to find out how many painting more it would be 80 from 20. It is four times more drawings. Now since  you know it is 4x more then you can simply multiply 4 time 4 (4*4) because it would be the weeks it takes him by the times it would be. It would be 16 weeks in total. 
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Answer:

The answers to the questions are

(a) P = 0.0176

(b)  P = 0.5

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Step-by-step explanation:

The P value is the calculated probability of obtaining extreme reults which are as extreme as observed res ult when the study null hypothesis H₀ is true

The p value is given by

P (\overline{\rm x} = 185 when μ = 175)

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

z(\overline { \rm x} = 185)  = \frac{ 185 -175}{20/\sqrt{10} } = 1.5811

Therefore the P (\overline{\rm x} = 185 when μ = 175) =  P(z = 1.5811)  

    0.94295

The probability density function is

f(x) = \frac{1}{\sigma\sqrt{2\pi } } e^{-\frac{1}{2}(\frac{x-\mu}{\sigma} )^2 } Therefore the probability is

f(x) = \frac{1}{20\sqrt{2\pi } } e^{-\frac{1}{2}(\frac{185-175}{20} )^2 } = 0.0176  

b) The type II error is given by

β = P(type II error) = P(Fail to reject the null hypothesis when it is false)

Therefore

β = P (\overline { \rm x} < 185 when μ = 185)

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P(z<0) and β = 0.5

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β = P (\overline { \rm x} < 185 when μ = 195)

and P(\frac{ \overline { \rm x} -\mu}{\sigma /\sqrt{n} }

Which gives P(z < -1.58)

From z table the probability is       β = 0.0571

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