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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 probability 0.02 to the right of t∗? (b) t has probability 0.85 to the left of t∗?

Respuesta :

Answer:

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

And we got [tex] t_{crit}= 2.518[/tex]

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

And we got [tex] t_{crit}= 1.119[/tex]

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:

[tex] df = n-1 = 8-1 =7[/tex]

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 [tex] t_{crit}= 2.518[/tex]

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 [tex] t_{crit}= 1.119[/tex]

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