Question

please answer all

1.) Use Table A to find the value *z* of a standard
Normal variable that satisfies each of the following conditions.
(Use the value of *z* from Table A that comes closest to
satisfying the condition.) In each case, sketch a standard Normal
curve with your value of *z* marked on the axis. (Round your
answers to two decimal places.)

(a) The point *z* with 64% of the observations falling
below it

*z* =

(b) The point *z* with 20% of the observations falling above
it

2.)Suppose a normal distribution has a mean of five and a
standard deviation of 1.75. What is the *z*-score of

*x* = 3.5?

(Round your answer to two decimal places.)

3.)The patient recovery time from a particular surgical
procedure is normally distributed with a mean of 5.9 days and a
standard deviation of 2.5 days.

What is the 75th percentile for recovery times? (Round your answer
to two decimal places.)

days

Answer #1

Q 1) The point z with 64% of the observations falling below it

Therefore, from standard normal table, the area value of z corresponding to the are 0.14 is 0.358

b) The point z with 20% of the observations falling above it

From Standard normal table, the value of z corresponding to the area 0.30 is 0.841

Q 2) X ~ N(5, 1.75)

when X = 3.5, the Z score is

Q3) Let X be the patient recovery time

X ~N( 5.9, 2.5)

For 75th percentile the critical value of Z is 0.674

The value of Z corresponding to the area 0.25 (from standard normal table ) is 0.674

Therefore the 75th percentile for recovery times is

Use Table A to find the value z of a standard Normal variable
that satisfies each of the following conditions. (Use the value of
z from Table A that comes closest to satisfying the condition.) In
each case, sketch a standard Normal curve with your value of z
marked on the axis. (Round your answers to two decimal places.)
(a) The point z with 60% of the observations falling below
it
(b) The point z with 17% of the observations...

Use the value of z from z Tables that comes closest to
satisfying the condition. In each case, sketch a standard Normal
curve with your value of z marked on the axis.
a. The point z with 20% of the observations falling below
it.
b. The point z with 35% of the observations falling above
it.
c. The point z with 68.5% of the observations falling above
it.
d. The point z with 86.7% of the observations falling below
it....

1. Find the value z of a standard Normal variable
Z that satisfies each of the following conditions. (If you
use Table A, report the value of z that comes closest to
satisfying the condition.) In each case, sketch a standard Normal
curve with your value of z marked on the axis.
38% of the observations fall below z
70% of the observations fall above z
2.) Jorge scores 2090 on the SAT. Assuming that both tests
measure the same...

1- Find the area under the standard normal curve between z=0.76
and z=1.90.
Round your answer to four decimal places.
2- Find the area under the standard normal curve between z=-2.49
and z=-0.44.
Round your answer to four decimal places.
3- Find the area under the standard normal curve between z=-2.26
and z=1.88.
Round your answer to four decimal places.
4- Find the area under the standard normal curve to the right of
z=2.37.
Round your answer to four decimal...

Let Z be a standard normal random variable. Use the calculator
provided, or this table, to determine the value of .
P (1.18 _< Z _< c) = 0.0854
Carry your intermediate computations to at least four decimal
places. Round your answer to two decimal places.

1)
a) Find the area under the Standard Normal Curve in-between z =
-0.59 and z = 2.86
Use the Normal table and give answer using 4 decimal places.
b) Find the area under the Standard Normal Curve in-between z =
-0.36 and z = 2.63
Use the Normal table and give answer using 4 decimal places.
c) Find P(z < 1.75)
Use the Normal table and give answer using 4 decimal places.

Let Z be a standard normal random variable. Use the calculator
provided, or this table, to determine the value of c.=P( -0.9 ≤ Z ≤
c)=0.8037 Carry your intermediate computations to at least four
decimal places. Round your answer to two decimal places.

1. If Z is a standard normal random variable, find the
value z0 for the following probabilities. (Round your
answers to two decimal places.)
(a) P(Z > z0) = 0.5
z0 =
(b) P(Z < z0) = 0.8686
z0 =
(c) P(−z0 < Z < z0) = 0.90
z0 =
(d) P(−z0 < Z < z0) = 0.99
z0 =
2. A company that manufactures and bottles apple juice uses a
machine that automatically fills 64-ounce bottles. There is some...

Let "Z" be a random variable from the standard normal
distribution. Find the value for ? that satisfies each of
the following probabilities.
(Round all answers to two decimal places)
A) P(Z < ?) = 0.6829.
? =
B) P(Z > ?) = 0.3087.
? =
C) P(-? < Z < ?) =
0.7402.
? = ±

Let Z be the standard normal variable. Find the values of z if z
satisfies the given probabilities. (Round your answers to two
decimal places.) (a) P(Z > z) = 0.9678 z =
(b) P(−z < Z < z) = 0.7888 z =

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