Answer:
(Correct to 4 decimal places)
Step-by-step explanation:
The probability of a continuous normal variable X found in a particular interval [a, b] is the area under the curve bounded by x=a and x=b and is given by:
where
Using a calculator,
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
1) Since we have the slope, and one point we can find that linear equation using this point-slope formula. Plugging them we have:
2) Note that we had to add 1 to both sides, to keep the "y "on the left.
3) Therefore, y=-9x+10 is the answer.