1a. What value of t cuts off 85% in the middle of the t distribution with 15 deg

Question

1a. What value of t cuts off 85% in the middle of the t distribution with 15 degrees of freedom?

Put answer as postive value of t.show the work

b. What value of t cuts off 85% in the middle of the t distribution with 22 degrees of freedom?

Put answer as postive value of t.

c.What porportion of the t distribution with 15 degrees of freedom is between t = -0.1 and t = 1.38?

Enter the answer to two decimal places.

d.What porportion of the t distribution with 18 degrees of freedom is between t = -0.78 and t = 0.61?

Enter the answer to two decimal places.

e.What proportion of the t distribution with 13 degrees of freedom is between plus and minus 1.08?

f.What proportion of the t distribution with 13 degrees of freedom is between plus and minus 0.73?

Explanation / Answer

a)

for middle 85% values fall between 7.5 and 92.5 percentile for whcih at 15 df ; t=1.517

b)

for middle 85% values fall between 7.5 and 92.5 percentile for whcih at 22 df ; t=1.492

c)

porportion of the t distribution with 15 degrees of freedom is between t = -0.1 and t = 1.38

=P(-0.1<t<1.38)=0.9061-0.4608=0.4453

d)

P(-0.78<t<0.61)=0.7253-0.2228=0.5025

e)

P(-1.08<t<1.08)=0.8501-0.1499 =0.7002

f)

P(-0.73<t<0.73)=0.7608-0.2392 =0.5216

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