CONSIDER A T DISTRIBUTION WITH 30 DEGREES OF FREEDOM COMPUTE

CONSIDER A T DISTRIBUTION WITH 30 DEGREES OF FREEDOM. COMPUTE P(T<=-1.67) CONSIDER A T DISTRIBUTION WITH 20 DEGREES OF FREEDOM. FIND THE VALUE OF C SUCH THAT P( -C<T<C)= 0.95

Solution

CONSIDER A T DISTRIBUTION WITH 30 DEGREES OF FREEDOM. COMPUTE P(T<=-1.67)

using tables of t distribution df = 30

p =0.05

CONSIDER A T DISTRIBUTION WITH 20 DEGREES OF FREEDOM. FIND THE VALUE OF C SUCH THAT P( -C<T<C)= 0.95

df = 20

for 2 tailed test we will find a value of alpha = 1- 0.95 = 0.05

alpha / 2 0 0.025

so C have a value of : 2.086