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enyata [817]
3 years ago
15

To estimate μ, the mean salary of full professors at American colleges and universities, you obtain the salaries of a random sam

ple of 81 full professors. The sample mean is = $77,220 and the sample standard deviation is s = $4500. A 98% confidence interval for μ is _____.
Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Answer with explanation:

Sample mean of 81 full Professor = $ 77,220

Sample Standard Deviation (S)= $ 4500

Sample mean= $77,220

Z_{98 \text{Percent}=\frac{98}{100}}\\\\Z_{98 \text{Percent}=0.8365}\\\\Z_{\text Score=\frac{\bar x -\mu}{\sigma}}\\\\0.84=\frac{77220- \mu}{4500}\\\\\mu=77220-3780\\\\ \mu=73440

So, When , z=98% , then Mean Salary ( μ)=73,440

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Which of the following linear relationships is NOT also a proportional relationship?
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The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x  , y = - (1/2)x  .

A linear relationship in the form of y = mx + c is said to be a proportional relationship when c = 0  .

in the question

Part(a)

the equation is  y = (2)x - 3

on comparing it with y = mx + c , we get c = -3 , which is not 0 .

So , it is not a proportional relationship .

Part(b)

the equation is  y = (-2)x

on comparing it with y = mx + c , we get c = 0 ,

So , it is a proportional relationship .

Part(c)

the equation is  y = (3/5)x

on comparing it with y = mx + c , we get c = 0 ,

So , it is a proportional relationship .

Part(d)

the equation is  y = - (1/2)x

on comparing it with y = mx + c , we get c = 0 ,

So , it is a proportional relationship .

Therefore, The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x  , y = - (1/2)x  , that are options (b) , (c) and (d) .

The given question is incomplete , the complete question is

Which of the following linear relationships is NOT also a proportional relationship?

(a) y = (2)x - 3

(b) y = (-2)x

(c) y = (3/5)x

(d) y = - (1/2)x

Learn more about Proportionality here

brainly.com/question/14967814

#SPJ1

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