Question

*For 12 – 15, round to 2DP.*

12. Find the z-score for which 70% of the area is to the right.

_________

13. Find the z-score that corresponds to P_{6}

_{________________}

14. Find the *z*-scores for which 60% of the
distribution’s area lies between − *z* and *z*.

__________

Answer #1

Solution :

12 ) Given that,

Using standard normal table,

P(Z > z) = 70%

1 - P(Z < z) = 0.70

P(Z < z) = 1 - 0.70 = 0.30

P(Z < 0.52 ) =0.30

z = 0.52

13 ) Given that,

Using standard normal table,

P(Z < z) = 6%

P(Z < z) = 0.06

P(Z < 1.55 ) =0.06

z = 1.55

14 ) Given that,

Using standard normal table,

P(-z < Z < z) = 0.60

P(Z < z) - P(Z < z) = 0.60

2P(Z < z) - 1 = 0.60

2P(Z < z) = 1 + 0.60

2P(Z < z) = 1.60

P(Z < z) = 1.60 / 2 = 0.80

P(Z < z) = 0.80

z = 0.84

− *z* = - 0.84

16. Use a table of cumulative areas under the normal curve to
find the z-score that corresponds to the given cumulative area. If
the area is not in the table, use the entry closest to the area.
If the area is halfway between two entries, use thez-score
halfway between the corresponding z-scores. If convenient, use
technology to find the z-score.
0.049
The cumulative area corresponds to the z-score of __.
17. Use the standard normal table to find the z-score...

use
the standard normla table to find the z-score thag corresponds to
tbe given percentile . if the area is not in the table use the
entry closest to the area . if the area is halfway between two
entries use the z-score halfway between the corresponding z-scores
1. the z-score that corresponds to P80 is ??
(round to two decimal places as needed)
find the z -score that has 97.5% of the distribution's area to
its left
1. the...

5.3.29 Find the z-scores for which 15% of the distribution's
area lies between minusz and z.

Use a table of cumulative areas under the normal curve to find
the z-score that corresponds to the given cumulative area. If the
area is not in the table, use the entry closest to the area. If
the area is halfway between two entries, use the z-score halfway
between the corresponding z-scores. If convenient, use technology
to find the z-score. .051

Find the z-score for which the area to its left is 0.47.
Find the z-score for which the area to its right is 0.21.

Use the standard normal table to find the z-score that
corresponds to the cumulative area 0.7454. If the area is not in
the table, use the entry closest to the area. If the area is
halfway between two entries, use the z-score halfway between the
corresponding z-scores.
z=_____? (Type an integer or decimal rounded to three decimal
places as needed.)

Please answer the questions below
1. Find the z-score that has 48.8% of the distribution's area
to its left?
2. Find the z-scores for which 5% of the distribution's area
lies between minus−z and z?
3. Find the indicated area under the standard normal curve.
Between z=0 and z=1.34 The area between
z=0 and z=1.34 under the standard normal curve is?

Q1-. A normal distribution has a mean of 15 and a standard
deviation of 2. Find the value that corresponds to the 75th
percentile. Round your answer to two decimal places.
Q2-.Tyrell's SAT math score was in the 64th percentile. If all
SAT math scores are normally distributed with a mean of 500 and a
standard deviation of 100, what is Tyrell's math score? Round your
answer to the nearest whole number.
Q3-.Find the z-score that cuts off an area...

Find the z-scores for which 22% of the distribution's area
lies between minusz and z.

Find the indicated z-score. Find the indicated z-score. Find the
z-score having area 0.86 to its right under the standard normal
curve; that is, find z0.86.
Select one:
a. 0.5557
b. -1.08
c. 0.8051
d. 1.08r

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