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 ![z_{crit}=2.33](https://tex.z-dn.net/?f=z_%7Bcrit%7D%3D2.33)
So then the rejection region would be ![z>2.33](https://tex.z-dn.net/?f=%20z%3E2.33)
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 ![z_{crit}=\pm 1.96](https://tex.z-dn.net/?f=z_%7Bcrit%7D%3D%5Cpm%201.96)
So then the rejection region would be ![z>1.96 \cup z](https://tex.z-dn.net/?f=%20z%3E1.96%20%5Ccup%20z%3C-1.96)
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 ![z_{crit}=2.33](https://tex.z-dn.net/?f=z_%7Bcrit%7D%3D2.33)
So then the rejection region would be ![z>2.33](https://tex.z-dn.net/?f=%20z%3E2.33)
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 ![z_{crit}=\pm 1.96](https://tex.z-dn.net/?f=z_%7Bcrit%7D%3D%5Cpm%201.96)
So then the rejection region would be ![z>1.96 \cup z](https://tex.z-dn.net/?f=%20z%3E1.96%20%5Ccup%20z%3C-1.96)