Question

9. Using our text’s z-table, find the proportion under the curve that lies between each of the following: a. The mean & z = 1.96 b. The mean & z = -0.83 c. z = -1.5 & z = 1.5 d. z = -0.3 & z = -0.1 e. z = -1.65 & z = 1.45

Answer #1

Solution :

Using standard normal table,

(a)

P(0 < z < 1.96) = P(z < 1.6) - P(z < 0) = 0.975 - 0.5 = 0.475

Proportion = 0.475

(b)

P( -0.83 < z < 0) = P(z < 0) - P(z < -0.83) = 0.5 - 0.2033 = 0.2967

(c)

P(-1.5 < z < 1.5) = P(z < 1.5) - P(z < -1.5) = 0.9332 - 0.0668 = 0.8664

Proportion = 0.8664

(d)

P(-0.3 < z < -0.1) = P(z < -0.1) - P(z < -0.3) = 0.4602 - 0.3821 = 0.0781

(e)

P(-1.65 < z < 1.45) = P(z < 1.45) - P(z < -1.65) = 0.9265 - 0.0495 = 0.877

Proportion = 0.877

(e)

Using the unit normal table, find the proportion under the
standard normal curve that lies between the following values.
(Round your answers to four decimal places.)
(a) the mean and z = 0 (b) the mean and z = 1.96 (c) z = −1.80
and z = 1.80 (d) z = −0.80 and z = −0.20 (e) z = 1.00 and z =
2.00

Using the unit normal table, find the proportion under the
standard normal curve that lies between the following values.
(Round your answers to four decimal places.)
https://www.webassign.net/priviterastats3/priviterastats3_appendix_c.pdf
<-- unit normal table
(a) the mean and
z = 0
(b) the mean and
z = 1.96
(c)
z = −1.80 and z = 1.80
(d)
z = −0.40 and z = −0.10
(e)
z = 1.00 and z = 2.00

Using the unit normal table, find the proportion under the
standard normal curve that lies between the following values.
(Round your answers to four decimal places.) (a) the mean and z = 0
0.3989 Incorrect: Your answer is incorrect. (b) the mean and z =
1.96 0.0250 Incorrect: Your answer is incorrect. (c) z = −1.30 and
z = 1.30 (d) z = −0.80 and z = −0.20

Find the area under the standard normal curve that lies between
the following two z values. Round your answers to at least four
decimal places.
(a)Find the area under the standard normal curve that lies
between = z − 1.28 and = z 1.36 .
(b)Find the area under the standard normal curve that lies
between = z − 2.17 and = z − 1.92 .
(c)Find the area under the standard normal curve that lies
between = z 1.36...

Given the following pairs of z-values, find the area
under the normal curve between each pair of z-values.
Refer to the table in Appendix B.1. (Round the final
answers to 4 decimal places.)
a. z = -0.3 and z = 2
b. z = -2.25 and z = -0.6
c. z = 1.45 and z = 2.71
d. z = -2.52 and z = 1.61

(a)Find the area under the standard normal curve that lies
outside the interval between =z−1.73 and =z1.99.
(b)Find the area under the standard normal curve that lies
outside the interval between =z−1.75 and =z0.99.
(c)Find the area under the standard normal curve that lies
outside the interval between =z0.89 and =z1.41.
(d)Find the area under the standard normal curve that lies
outside the interval between =z−1.80 and =z−1.33.

Determine the area under the standard curve that lies between z
= -2 and z = -0.3
Group of answer choices

Using Excel Solutions
Find the area under the standard normal curve that lies between x
=2.06
c.) z=1.58 and z =2.06
d.) z=-2.45 and z =-0.34

Given the following pairs of z-values, find the area
under the normal curve between each pair of z-values.
Refer to the table in Appendix B.1. (Round the final
answers to 4 decimal places.)
a. z = -1.65 and z = 0.25
b. z = -1.75 and z =
-1.25
c. z = 1.43 and z = 2.52
d. z = -2.5 and z = 1.48

Given the following pairs of z-values, find the area
under the normal curve between each pair of z-values.
Refer to the table in Appendix B.1. (Round the final
answers to 4 decimal places.)
a. z = -2.4 and z = 1.5
b. z = -1.5 and z = -0.25
c. z = 1.68 and z = 2.8
d. z = -2.36 and z = 1.01

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