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Chapter 9: Q T9.10 (page 616)

Which of the following has the greatest probability?

a.P(t>2)if t has 5 degrees of freedom.

b. P(t>2) if t has 2 degrees of freedom.

c. P(z>2) if z is a standard Normal random variable.

d.P(t<2)if t has 5 degrees of freedom.

e.P(z<2) if z is a standard Normal random variable.

Short Answer

Expert verified

Option e)P(Z<2)ifzis a standard normal random variable

Step by step solution

01

Step 1:Given information

Normal random variable

02

Step 2:Explaination

Find the corresponding probability P(z>2)andP(z<2) using the normal probability table

P(z>2)=1-P(z<2)

=1-0.9772

=0.0228

Although the total probability requires to be P(t<2) is 0.95when P(t<2)is 0.05and P(t<2) is

0.90whenP(t>2)is0.10

0.90<P(t<2)<0.95

The probabilityP(t>2) at 2 degrees of freedom is the number (or interval) in the column title of the Student's T table in the appendix that contains the t-value in the row df=2

It is observed that the highest probability isP(z<2)=0.9772.

Hence, the correct option is (e)

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Most popular questions from this chapter

Home computersRefer to Exercise 35.

a. Explain why the sample result gives some evidence for the alternative hypothesis.

b. Calculate the standardized test statistic and P-value.

c. What conclusion would you make?

pg559¯

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