Question

• Consider a t distribution with 13 degrees of freedom. Compute P(t = 1.43). Round your answer to at least three decimal places. • Consider a t distribution with 7 degrees of freedom. Find the value of c such that P(-c<t<c)=0.95. Round your answer to at least three decimal places. Pſt s 1.43) = 0 c= Х ?

Answer 1

The solution to this problem is given below

we can a such Now, 13 = 0.92 Considering t distribution with degrees of freedom. 13 from t-distribution table find value of probability, say, x that pltasis < 1.43) = from t-distribution table calculation, table P ( t < 1.43) 0.9118* 0,912 et degrees of freedom P(t 3 1:43) consider a to distribution with 7 degrees of freedom. & Given p( c(t (c) = Or, P (+(c)-P(+(-c) = 0 Or, 1-PC+>c) - PCF<-5) = 0.95 Or, 1- 2 P (+(-C) = 0.95 Symmetric Ops Ptt -0 =0.015 Let 0.95 و 0 et distribution] 2019

13 20 27 Now from (22.565) t-distribution table, at degrees of freedom 7. we gets -0.025 Comparing c=2.365. The value of cis 2.365