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Asked Jan 29, 2019
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4. If T follows a 17 distribution, find to such that (a) P(T| <。) = .9 and
0
(b) P(T > to) = .05.
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4. If T follows a 17 distribution, find to such that (a) P(T| <。) = .9 and 0 (b) P(T > to) = .05.

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Step 1

It is given that T follows a t distribution with  degree of freedom. Here we need to find t0 such that

P(|T|<t0) = 0.9

Step 2

here we need to find t0 such that P(|T|<t0) = 0.9. This means that there exists t0 sucht that from -t0  to t0  the distribution has an area of 0.9 as shown in below diagram.

As we know the T distirbution is symmetric we know the area to the right of t0 is half of reamaining area which half of 0.1. So it is 0.05 as shown in the diagram.

 

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Step 3

P(-t0 < T < t0  ) = 0.9

&nbs...

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Statistics

Advanced Topics in Statistics

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