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1. [0/5 Points) DETAILS PREVIOUS ANSWERS JMODDB 4.5.002. MY NOTES Use the body table to find the specified z-number (Enter yo
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Answer #1

Solution:

Question 1)

Part a)

z_{0.0239}=.......?

Look in z  table for Area = 0.0239 or its closest area and find corresponding z value.

.00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003 -3.3 .0005 -3.2 .0007 -3.1 .0010 -3.0 .0013 -2.9 .0019 -2.8 .0026 -2.7 .00
Area 0.0239 corresponds to -1.9 and 0.08

that is  z = -1.98

thus

\mathbf{{\color{DarkOrange} z_{0.0239}= -1.98}}

Part b)

z_{0.2486}=.......?

Look in z  table for Area = 0.2486 or its closest area and find corresponding z value.

Area 0.2483 is closest to 0.2486 and it corresponds to -0.6 and 0.08

that is  z = -0.68

Thus

\mathbf{{\color{DarkGreen} z_{0.2486}=-0.68}}

Part c)

z_{0.4495}=.......?

Look in z  table for Area = 0.4495 or its closest area and find corresponding z value.

.00 .01 .02 .04 .05 .06 .07 .08 .09 .03 .0003 .000 .000 .000$ .001 .0011 .0025 .0032 .0043 .0067 .0095 .009 .0159 .0156 Z -3.

Area 0.4483 is closest to 0.4495 and it corresponds to -0.1 and 0.03

that is  z = -0.13

Thus

\mathbf{{\color{DarkBlue} z_{0.4495}=-0.13}}

Part d)

z_{0.4936}=.......?

Look in z  table for Area = 0.4936 or its closest area and find corresponding z value.

Area 0.4920 is closest to 0.4936 and it corresponds to -0.0 and 0.02

that is  z = -0.02

Thus

\mathbf{{\color{DarkRed} z_{0.4936}=-0.02}}

.

Question 2)

Part a)

z_{0.4236}=.......?

Look in z  table for Area = 0.4236 or its closest area and find corresponding z value.

Z .00 .01 .02 .03 .04 .05 .06 .08 .09 ,0003 -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -

Area 0.4247 is closest to 0.4236 and it corresponds to -0.1 and 0.09

that is  z = -0.19

Thus

\mathbf{{\color{DarkOrange} z_{0.4236 }=-0.19}}

Part b)

z_{0.3980}=.......?

Look in z  table for Area = 0.3980 or its closest area and find corresponding z value.

Area 0.3974 is closest to 0.3980 and it corresponds to -0.2 and 0.06

that is  z = -0.26

Thus

\mathbf{{\color{DarkGreen} z_{0.3980}=-0.26 }}

Part c)

z_{0.3790}=.......?

Look in z  table for Area = 0.3790 or its closest area and find corresponding z value.

Z .00 .03 .04 .08 .09 -3.1 -3.4 .0003 -3.3 .0005 -3.2 .0007 .0010 -3.0 .0013 -2.9 .0019 -2.8 .0026 -2.7 .0035 -2.6 .0047 -2.5  

Area 0.3783 is closest to 0.3790 and it corresponds to -0.3 and 0.01

that is  z = -0.31

Thus

\mathbf{{\color{DarkBlue} z_{0.3790}=-0.31 }}

Part d)

z_{0.4951}=.......?

Look in z  table for Area = 0.4951 or its closest area and find corresponding z value.

.09 .00 .01 .02 -3.4 .0003 .0003 .0003 -3.3 0005 .0005 .0005 -3.2.0007 .0007 .0006 -3.1 .0010.0009.0009 -3.0 .0013 .0013 .001

Area 0.4960 is closest to 0.4951 and it corresponds to -0.0 and 0.01

that is  z = -0.01

Thus

\mathbf{{\color{DarkRed} z_{0.4951 }=-0.01 }}

Thus required answers are:

Question 1)

a) \mathbf{{\color{DarkOrange} z_{0.0239}= -1.98}}

b) \mathbf{{\color{DarkGreen} z_{0.2486}=-0.68}}

c) \mathbf{{\color{DarkBlue} z_{0.4495}=-0.13}}

d) \mathbf{{\color{DarkRed} z_{0.4936}=-0.02}}

Question 2)

a) \mathbf{{\color{DarkOrange} z_{0.4236 }=-0.19}}

b) \mathbf{{\color{DarkGreen} z_{0.3980}=-0.26 }}

c) \mathbf{{\color{DarkBlue} z_{0.3790}=-0.31 }}

d) \mathbf{{\color{DarkRed} z_{0.4951 }=-0.01 }}

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