Question

Find the z-score corresponding to the given area. Remember z is
distributed as the standard normal distribution with mean of
*μ=0 and standard deviation σ=1. Use the TI83, show all
steps.*

- The area to the left of z is 18%

- The area to the right of z is 70%

The mean starting salary for teachers is $67,000 with a standard deviation of $10,333. Assume that the starting salary is normally distributed. Show all steps using the TI83.

a. Find the probability that a starting teacher will make more than $85,000.

b. What salary do 20% of all teachers make more than?

.

Answer #1

A normal distribution has μ = 32 and σ =
5.
(a) Find the z score corresponding to
x = 27.
(b) Find the z score corresponding to
x = 44.
(c) Find the raw score corresponding to
z = −3.
(d) Find the raw score corresponding to
z = 1.9.
(e)Sketch the area under the standard normal curve over the
indicated interval and find the specified area. (Round your answer
to four decimal places.)
The area between
z =...

1. Find the indicated area under the standard normal curve.
To the right of z=- 2.69
2.
Assume the random variable x is normally distributed with mean
μ=83 and standard deviation σ =5. Find the indicated probability.
P(xless than<80)

1. Find the area under the standard normal curve to the left of
z = 1.66.
2. Find the area under the standard normal curve between z =
-1.75 and z = 0.96.
3. Find the z-score for which the area to its right is 0.67.
4. A normal population has mean 176=m and a standard deviation
.38=s What proportion of the population is more than 185?

Find the z-score corresponding to the given value and use the
z-score to determine whether the value is unusual. Consider a score
to be unusual if its z-score is less than minus2 or greater than
2. Round to the nearest hundredth if necessary. A weight of 103.2
pounds among a population having a mean weight of 162.0 pounds and
a standard deviation of 22.6 pounds.

Find the z-score corresponding to the given value and use the
z-score to determine whether the value is unusual. Consider a score
to be unusual if its z-score is less than minus2 or greater than
2. Round to the nearest hundredth if necessary. A body temperature
of 96.59degrees F given that human body temperatures have a mean of
98.20degrees F and a standard deviation of 0.62 degrees.

1. Let Z be the z-score for a standard normal distribution. Find
the area under the curve for Z> -1.58. Keep four decimal
places.
2. Suppose the time spent by children in front of the television
set per year is normally distributed with a mean of 1500 hours and
a standard deviation of 250 hours. What percentage of children
spend at least 1300 hours in front of the television. Express your
answer to the nearest tenth of a percent without...

Find the z-score such that:
The area under the standard normal model to its left is 0.9412 z
=
The area under the standard normal model to its right is 0.1576
z =

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.)

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...

A normal distribution has μ = 34 and σ = 5. (a) Find the z score
corresponding to x = 29. (b) Find the z score corresponding to x =
46. (c) Find the raw score corresponding to z = −3. (d) Find the
raw score corresponding to z = 1.5.

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