The numeric constant of variation is 100
Step-by-step explanation:
Direct proportion means that increase in one variable cause increase in other variable
Here,
It is given that
y varies directly as x
y∝x
when the proportionality symbol is removed a proportionality constant is introduced
Given that
y = 100 when x = 4
Putting the values
The numeric constant of variation is 100
Keywords: Proportion variation
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Answer:
a) We have that the significance is given by and we know that we have a right tailed test.
So for this case we need to look in the normal standard dsitribution a critical value that accumulates 1% of the area on the right and 99% of the area on the left. This value can be founded with the following excel code:
"=NORM.INV(1-0.01,0,1)"
And we got for this case
So then the rejection region would be
b) We have that the significance is given by ,
and we know that we have a two tailed test.
So for this case we need to look in the normal standard dsitribution a critical value that accumulates 2.5% of the area on the right and 97.5% of the area on the left. This value can be founded with the following excel code:
"=NORM.INV(1-0.025,0,1)"
And we got for this case
So then the rejection region would be
Step-by-step explanation:
Part a
We have that the significance is given by and we know that we have a right tailed test.
So for this case we need to look in the normal standard dsitribution a critical value that accumulates 1% of the area on the right and 99% of the area on the left. This value can be founded with the following excel code:
"=NORM.INV(1-0.01,0,1)"
And we got for this case
So then the rejection region would be
Part b
We have that the significance is given by ,
and we know that we have a two tailed test.
So for this case we need to look in the normal standard dsitribution a critical value that accumulates 2.5% of the area on the right and 97.5% of the area on the left. This value can be founded with the following excel code:
"=NORM.INV(1-0.025,0,1)"
And we got for this case
So then the rejection region would be