Question
Asked Oct 18, 2019
14 views
ati
xddvy
74
ohat
nmal
29
The salaries of dogcatchers are normally distributed withn
a mean of $28,000 and a standard deviation of $3,000.
What salary cuts off the poorest 10% of dogcatchers?
3000
A. $23,065
B. $31,840
52k
C. $24,160
D. $32,935
#13
11
WT
m 8
imR
help_outline

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ati xddvy 74 ohat nmal 29 The salaries of dogcatchers are normally distributed withn a mean of $28,000 and a standard deviation of $3,000. What salary cuts off the poorest 10% of dogcatchers? 3000 A. $23,065 B. $31,840 52k C. $24,160 D. $32,935 #13 11 WT m 8 imR

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Expert Answer

Step 1

The critical value of Z0.10 is obtained below:

From the given information, salaries of dogcatchers are normally distributed with population standard deviation is $3,000 and population mean as $28,000.

From the EXCEL, using the formula, =NORM.INV(0.10,0,1), the critical value is –1.28.

foxNORM.INV(0.1,0,1)
A1
В
F
-1.28
1
LL
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foxNORM.INV(0.1,0,1) A1 В F -1.28 1 LL

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Step 2

The salary cuts off the poorest 10% of dog catchers is obtained below:

The required valu...

х-и
Ζ=
Z= X-μ
σ
x= Zx σ+μ
=-1.28x 3,000+ 28, 000
24,160
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х-и Ζ= Z= X-μ σ x= Zx σ+μ =-1.28x 3,000+ 28, 000 24,160

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