More critical value You have SRS of the size 30 and calculat

More critical value. You have SRS of the size 30 and calculate the one -sample t statistic. What is the critical value t* such that

(a) t has probability 0.025 to the right of t*?

(b) t has probability 0.75 to the left of t*?

Solution

The degree of freedom =n-1=30-1=29

(a) P(T with df= 29>t) =0.025

--> t= 2.045 (from student t table)

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(b) P(T with df=26 <t) =0.75

--> t= 0.6830(from student t table)