Question

In: Statistics and Probability

Problem 3. Find the following quantities for ?= 0.1, 0.05, 0.01. (a)z?/2 (b)t9,?/2, t15,?/2, t25,?/2 (c)?28,?/2,...

Problem 3. Find the following quantities for ?= 0.1, 0.05, 0.01.

(a)z?/2

(b)t9,?/2, t15,?/2, t25,?/2

(c)?28,?/2, ?28,1??/2

Solutions

Expert Solution

The quantities can be found by respective tables or by simple R-commands.

(a) We have the following values as below.

For , we have , founded by command qnorm(0.1/2).

For , we have , founded by command qnorm(0.05/2).

For , we have , founded by command qnorm(0.01/2).

(b) For , we have

, founded by command qt(0.1/2,df=9).
, founded by command qt(0.1/2,df=15).
, founded by command qt(0.1/2,df=25).

For , we have

, founded by command qt(0.05/2,df=9).
, founded by command qt(0.05/2,df=15).
, founded by command qt(0.05/2,df=25).

For , we have

, founded by command qt(0.01/2,df=9).
, founded by command qt(0.01/2,df=15).
, founded by command qt(0.01/2,df=25).

(c) For , we have

, founded by command qchisq(0.1/2,df=8).
, founded by command qchisq(1-(0.1/2),df=8).

For , we have

, founded by command qchisq(0.05/2,df=8).
, founded by command qchisq(1-(0.05/2),df=8).

For , we have

, founded by command qchisq(0.01/2,df=8).
, founded by command qchisq(1-(0.01/2),df=8).

orchestra answered 1 year ago

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