Download Introduction to Stats – Normal Distribution with Table

Introduction to Stats – Normal Distribution with Table
1. Draw a picture and find the area
described, given the standard normal
distribution with mean 0 and standard
deviation 1.
c) Greater than -1.76
e) Greater than 2.11
–1.76
a)Less than 0.32
0.32
0
f) Less than -0.63
0
d) between -2.4 and 1.6
–2.4
1.6
h) Between 2.0 and 2.9
b) Less than 1.64
0
2. Find the area of the normal
distribution with mean 1420 and
standard deviation 71.
-between 1351.84 and 1451.24
1351.84
1451.24
3. Find the area of the shaded region.
The graph depicts the normal
distribution with mean 1340 and
standard deviation 13
-greater than 1308.8
4. Find the area of the shaded region.
The graph depicts the normal
distribution with mean 950 and
standard deviation 209.
-Less than 1025.24
1308.8
1025.24
1420
1340
950
.
5. Calculate the population standard
deviation. Interpret this value in
words.
6, 9, 18, 30, 47
6. Calculate the sample standard
deviation. Interpret this value in
words.
5, 16, 27, 48, 49
7. Calculate the mean, median, mode
and range:
35, 35, 7, 10, 42
Set 1
Set 2
9, 10, 11, 12, 13 19, 20, 21, 22, 23
Set 3
Set 4
9, 11, 11, 11, 13 18, 20, 22, 24, 26
Use the above sets to answer #8-1
8. Which of the following has the
largest smallest deviation? Explain.
9. Which set(s) has a no mode?
10.
a)How can you transform Set 1 to Set
2? (hint: shift or scale)
b)How can you transform Set 1 to Set
4? (hint: shift or scale)
11. Set 1 has a mean of 11 and a
sample standard deviation of 1.58.
a) Using what you know from #13,
what is the mean and standard
deviation for Set 2?
b) What is the mean and standard
deviation for Set 4?
12. The diameters of bolts produced by
a certain machine are normally
distributed with a mean of 0.30 inches
and a standard deviation of 0.02
inches. What percentage of bolts will
have a diameter greater than 0.29
inches?
13. The distribution of weights of 24ounce bags of particular brand of
potato chips is approximately normal
with a mean of 24 ounces and a
standard deviation of 0.21 ounces.
Approximately what proportion of the
bags fall between 23.79 ounces and
24.21 ounces?
14. Suppose the mean weight of a large
group of men is 172 lbs. and a standard
deviation of 16 lbs., and their weights
are approximately normal.
What percentage of men in the group
have a weight that is greater than 150
lbs.?
15. The mean height for American
women is 63.8 inches with standard
deviation 2.3 inches. Suppose that you
are 66 inches tall, what percent of
people are taller than you.
16.) The mean SAT score is 1000 with standard deviation of 160. What is the
minimum score to be considered the 95th percentile range?
17.)
A shipment of 13 jackets
contains 4 defective jackets. You
need to buy 5 jackets. What is the
probability that you will get at least
4 good jackets?
18.)
You are running for the President of ASB and your best friend is running
for the Speaker of ASB. There are 10 students running for these two
positions. What is the probability that both of you will get elected? (Hint:
does the order matter?)