Question

1.
One hundred percent of scores fall under the area of the normal
curve.

true

false

2. A z score tells nothing about the distance of a score from
the mean.

true

false

3. A z score does NOT allow for the comparison of different
scores from different distributions

true

false

4. A number whose z score is equal to zero is equal to the
mean.

true

false

5. Which of the following is not a characteristic of the
normal distribution?

a. It is symmetrical around the mean

b. It is unimodal

c. Fifty percent of all cases fall within one standard
deviation from the mean

d. A set percentage of cases fall within a given standard
deviation from mean

6. Given the following data, convert the raw score into a
z-score: x=36, mean=30, sd=2

a. 2.4

b. 3.0

c. 2.0

d. 1.5

7. A normal curve:

a. is a theoretical ideal or model.

b. can be used to describe distributions.

c. is used in statistics for making decisions.

d. all of the above are true of the normal curve.

8. Roughly __________ of the total area under the normal curve
rests between two standard deviations above and below the
mean.

a. 68%

b. 47%

c. 99%

d. 95%

9. The average price for a new car is $18,000 and the standard
deviation is $1,500. Calculate the z scores for the following
individual scores. SHOW YOUR WORK.If X = 16,000, z =

Answer #1

1)**TRUE**

2)**FALSE**

3)**FALSE**

4)**TRUE**

5)wrong option is,

**c. Fifty percent of all cases fall within one standard
deviation from the mean.**

6)z score is=(x-mean)/sd

from given, z score = (36-30)/2

**=3**

answer is**, b. 3.0**

7)since, all the statements about normal curve are trye

answer is. **d. all of the above are true of the normal
curve.**

8)Roughly **95%** of the total area under the
normal curve rests between two standard deviations above and below
the mean.

answer is, **d. 95%**

9)

z score is=(x-mean)/sd

from given, z score = (16000-18000)/1500

**=-1.333**

**answer is -1.333**

1.
the area under the normal distribution curve that lies within one
standard deviation of the mean is approxiamtely ____%.
2. for a normal distribution curve with a mean of 10 and a
standard deviation of 5, what is the range of the variable thay
defines the area under the curve correaponding to a probability of
approximately 68%?
true or false:
3. a probability can be greater than one, but not equal to
zero.
4. quartiles are used in box...

1. Find the total area under the standard normal curve to the
left of z1 and to the right of z2.
z1 = -1.75, z2 = 1.89
a) 1.0224 b) 0.3231 c) 0.6769 d) 0.0695 e) 0.9305
2.Which of the following statements is false?
a) Normal distributions are symmetric, but they do not have to
be bell-shaped.
b) The standard normal distribution is completely defined by its
mean and standard deviation.
c) For any normal distribution, the mean, median, and...

. What information can you conclude from the area under a normal
curve?
b. What is the difference between standard normal distribution
and normal distributions?
c. Explain what a z-score is and its relationship to the
characteristics of a normal curve.
d. Can a z-score be negative? Why or why not?
e. What is the 68-95-99.7 rule for normal distributions?
f. Explain how it can be used to answer questions about
frequencies of data values in a normal distribution.
Psychology...

20. The area under the normal curve between Z = -1and Z = -2 is
________________ the area under the normal curve between Z =1 and Z
= 2.
A. Less than
B. Greater than
C. Equal to
D. A, B or C above dependent on the value of the mean
E. A, B or C above dependent on the value of the standard
deviation

1. About ____ % of the area under the curve of the standard
normal distribution is between z = − 1.863 z = - 1.863 and z =
1.863 z = 1.863 (or within 1.863 standard deviations of the
mean).
2. About ____ % of the area under the curve of the standard
normal distribution is outside the interval
z=[−2.24,2.24]z=[-2.24,2.24] (or beyond 2.24 standard deviations of
the mean).
3. About ____ % of the area under the curve of the...

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?

0. Consider a distribution of raw scores in which the
distribution is normal. Consider that each and every score is
converted into a standard score (a z score), such that the
resulting distribution is a normal distribution of standard scores
(a standard normal distribution, also known as the SND). The
standard normal distribution has all the following characteristics,
except
a. The distribution is bell-shaped.
b. The distribution is symmetrical.
c. The mean, median, and mode of the distribution are equal...

A) What proportion of the area under a normal curve is to the
left of z = -0.44?
B) What proportion of the area under a normal curve is to the
left of z = 0.63?
C) April 10, 2017, was an unseasonably warm day with a
temperature of 82 degrees (Fahrenheit). The mean temperature for
April 13th over the last 50 years is 72 with a standard deviation
of 4.
1. What is the z-score for the temperature on...

2. a) Find the area under the standard normal curve to the right
of z = 1.5.
b) Find the area under the standard normal curve to the left of
z = 1.
c) Find the area under the standard normal curve to the left of
z = -1.25.
d) Find the area under the standard normal curve between z = -1
and z = 2.
e) Find the area under the standard normal curve between z =
-1.5 and...

3. Under any normal distribution of scores, what percentage of
the total area falls…
Between the mean and a score that is one standard deviation
above the mean
Between the mean and two standard deviations below the
mean
Within one standard deviation of the mean
Within two standard deviations of the mean

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