This question checks your understanding of the relations be- tween the t, F and

Question

This question checks your understanding of the relations be- tween the t, F and chi-square distributions. Note that qt, qf and qchisq are functions in R for the quantiles functions. If you are unfamiliar with them, please check the R help pages for these functions. String answers are expected; for any number between 0 and 1 start with "0" and don't use trailing Os in the decimal places. Part a) The R command for getting qt(0.975,26) using gf) is Part b) The R command for getting qchísq(0.97526) using qf() s Answer(s) submitted:

Explanation / Answer

1)

qt(.975,26)=2.055529

to write in f function i.e

sqrt(qf(.95,1,26))=2.055529

this is because T^2 ~ F distribution (Hotelling T square)

2)

qchisq(.975,26)=26*qf(.975,26,x)

where is X is al large value 10^7 like that gives the same value

this is because Chisq(m)/m/chisq(n)/n~ Fm,n

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