Q166SE Find az聽-score, call itz0, such... [FREE SOLUTION]

91影视

Statistics For Business And Economics

James T. McClave, P. George Benson, Terry Sincich

$Math Studyset 91影视 Explanations$ Math

13th Edition 路 888 pages

ISBN: 9780134506593

Chapter 4: Q166SE (page 281)

Find a $z$ -score, call it $z_{0}$ , such that
a. $P (z 鈮� z_{0}) = . 5080$
b. $P (z 鈮� z_{0}) = . 5517$
c. $P (z 鈮� z_{0}) = . 1492$
d. $P (z_{0} 鈮� z 鈮� . 59) = . 4773$

Short Answer

Expert verified

a. $z_{0} = 0.02$

b. $z_{0} = -0.129$

c. $z_{0} = 1.039$

d. $z_{0} = -0.689$

Step by step solution

Given information

z-score is denoted by. $z_{0}$

CalculateP(z≤z0)=.5080

$\begin{matrix} P (z 鈮� z_{0}) = .5080 \\ 桅 (z_{0}) = .5080 \\ z_{0} = 桅^{鈭� 1} (.5080) \\ z_{0} = 0.02 \end{matrix}$

Hence. $z_{0} = 0.02$

CalculateP(z≥z0)=.5517

$\begin{matrix} P (z 鈮� z_{0}) = .5517 \\ 1 鈭� P (z 鈮� z_{0}) = .5517 \\ 1 鈭� 桅 (z_{0}) = .5517 \\ 桅 (z_{0}) = 1 鈭� .5517 \\ 桅 (z_{0}) = 0.4483 \\ z_{0} = 桅^{鈭� 1} (0.4483) \\ z_{0} = -0.129 \end{matrix}$

Hence $z_{0} = -0.129$ .

CalculateP(z≥z0)=.1492

$\begin{matrix} P (z 鈮� z_{0}) = .1492 \\ 1 鈭� P (z 鈮� z_{0}) = .1492 \\ 1 鈭� 桅 (z_{0}) = .1492 \\ 桅 (z_{0}) = 1 鈭� .1492 \\ 桅 (z_{0}) = 0.8508 \\ z_{0} = 桅^{鈭� 1} (0.8508) \\ z_{0} = 1.039 \end{matrix}$

Hence. $z_{0} = 1.039$

CalculateP(z0≤z≤.59)=.4773

$\begin{matrix} P (z_{0} 鈮� z 鈮� .59) = .4773 \\ P (z 鈮� .59) 鈭� P (z 鈮� z_{0}) = .4773 \\ P (z 鈮� z_{0}) = P (z 鈮� .59) 鈭� .4773 \\ 桅 (z_{0}) = 0.7224 鈭� 0.4773 \\ 桅 (z_{0}) = 0.2451 \\ z_{0} = 桅^{鈭� 1} (0.2451) \\ z_{0} = -0.689 \end{matrix}$

Hence $z_{0} = - 0.689$ .

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91影视

Find a $z$ -score, call it $z_{0}$ , such that
a. $P (z 鈮� z_{0}) = . 5080$
b. $P (z 鈮� z_{0}) = . 5517$
c. $P (z 鈮� z_{0}) = . 1492$
d. $P (z_{0} 鈮� z 鈮� . 59) = . 4773$

Short Answer

Step by step solution

Given information

CalculateP(z≤z0)=.5080

CalculateP(z≥z0)=.5517

CalculateP(z≥z0)=.1492

CalculateP(z0≤z≤.59)=.4773

One App. One Place for Learning.

Most popular questions from this chapter

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91影视

Find az-score, call itz0, such thata.P(z鈮�z0)=.5080b.P(z鈮�z0)=.5517c.P(z鈮�z0)=.1492d.P(z0鈮�z鈮�.59)=.4773

Short Answer

Step by step solution

Given information

CalculateP(z≤z0)=.5080

CalculateP(z≥z0)=.5517

CalculateP(z≥z0)=.1492

CalculateP(z0≤z≤.59)=.4773

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Calculus

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

Find a $z$ -score, call it $z_{0}$ , such that
a. $P (z 鈮� z_{0}) = . 5080$
b. $P (z 鈮� z_{0}) = . 5517$
c. $P (z 鈮� z_{0}) = . 1492$
d. $P (z_{0} 鈮� z 鈮� . 59) = . 4773$