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Solved: Suppose Appendix Table A.3 contained ?(z) only for
Chapter 4, Problem 48E(choose chapter or problem)
Problem 48E
Suppose Appendix Table A.3 contained Φ(z) only for z ≥0 Explain how you could still compute
a. P( –1.72≤ Z ≤–.55)
b. P( –1.72≤ Z ≤ .55)
Is it necessary to tabulate Φ(z) for z negative? What property of the standard normal curve justifies your answer?
Questions & Answers
QUESTION:
Problem 48E
Suppose Appendix Table A.3 contained Φ(z) only for z ≥0 Explain how you could still compute
a. P( –1.72≤ Z ≤–.55)
b. P( –1.72≤ Z ≤ .55)
Is it necessary to tabulate Φ(z) for z negative? What property of the standard normal curve justifies your answer?
ANSWER:
Solution 48E
Step1 of 2:
We have Φ(z) only for z ≥ 0.
We need to compute,
a).P(-1.72Z
-0.55)
b).P(-1.72Z
0.55) and
We need to check Is it necessary to tabulate Φ(z) for z negative? What property of the standard normal curve justifies your answer?
Step2 of 2:
a).
Consider,
P(-1.72Z
-0.55) = P(0.55
Z