Find k for the probability P(-0.256<T<k)=0.59 , where v=27
Solution,
Using t table,
v = 27
P( -0.256 < T < k) = 0.59
= P( T < k) - P( T < -0.256) = 0.59
= P( T < k) - 0.3999 = 0.59
= P( T < k) = 0.59 + 0.3999
= P( T < k) = 0.9899
= P( T < 2.468) = 0.9899
k = 2.468
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