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N76 [4]
2 years ago
12

You have an SRS of size 8 and calculate the one-sample t statistic. What is the critical value t∗ such that (a) t has probabilit

y 0.02 to the right of t∗? (b) t has probability 0.85 to the left of t∗?
Mathematics
1 answer:
Rudik [331]2 years ago
7 0

Answer:

a) "=T.INV(1-0.02,7)"

And we got t_{crit}= 2.518

b) "=T.INV(0.85,7)"

And we got t_{crit}= 1.119

Step-by-step explanation:

For this case we have a sample size of n=8, so we can find the degrees of freedom like this:

df = n-1 = 8-1 =7

Part a

For this case we need a value who accumulates 0.02 of the area in the right of the t distribution with 7 degrees of freedom so we can use the following excel code:

"=T.INV(1-0.02,7)"

And we got t_{crit}= 2.518

Part b

For this case we need a value who accumulates 0.85 of the area in the left of the t distribution with 7 degrees of freedom so we can use the following excel code:

"=T.INV(0.85,7)"

And we got t_{crit}= 1.119

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have a good day !

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