Basic Stat HW Ch 7
Practice Questions Chapter 7
1. The number of calories in a salad on the lunch menu is normally distributed with mean 200 and standard deviation 5. A random sample of 16 salads is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean is between 198 and 201 calories?
2. Assume that the amount of sugar in a can of soft drink has a normal distribution with a mean of 50 grams and a standard deviation of 10. A random sample of 25 cans is taken.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean for sugar is between 48 and 52 grams?
c. What is the probability that the sample mean for sugar is exactly 53 grams?
3. The number of calories in a salad on the lunch menu is normally distributed with mean 230 and standard deviation 20. A random sample of 16 salads is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean is more than 2?
4. Every year, testers take the Law School Admission Test (LSAT). One year, the scores had a mean of 150 and a standard deviation of 9 points, respectively. Suppose that in the scoring process, test officials audit random samples of 36 tests.
a. What is the standard error of the mean?
b. What is the probability that the sample mean scores of the test is between 148.5 and 153?
5. The weights of newborn babies are normally distributed with a mean of 3.05 kg and a standard deviation of 0.45 kg. A random sample of 25 newborn babies is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean weight of babies is less than 2.80 kg?
6. The average of text messages per day is 100 and the population standard deviation is 20 text messages. Suppose a random sample of 49 students is taken.
a. Find the standard error?
b. What is the probability that the sample mean is between 95 and 105 messages?
7. The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 8 minutes. A random sample of 16 workers is selected.
a. What is the probability that the sample mean of assembly time is exactly 20 minutes?
b. What is the probability that the sample mean of assembly time is between 18 and 22 minutes?
1
1
Practice Questions Chapter 7
1.
The number of calories in a salad on the lunch menu is normally distributed with mean 200 and standard
deviation 5.
A
random sample of
16 salads
is selected
.
a.
What is the standard error for the sample mean?
b.
What is
the probability that the
sample
mean is
between
198
and
201
calories
?
2.
Assume that the
amount
of
sugar in a can of soft drink
has a
normal
distribution with a mean of
5
0 grams
and a
standard deviation
of 1
0
. A random sample of 25
cans
is
taken
.
a.
W
hat is the standard error for the sample
mean?
b.
What is the probability that the sample mean
for sugar
is between
48
and
52
grams?
c.
What is the probability that the sample mean for sugar is
exactly 53
grams?
3.
The number of calories in a salad on the lunch menu is
normally
distributed with mean
23
0
and standard
deviation
2
0
.
A
random sample of
16
salads
is selected
.
a.
What is the
standard error for the sample mean?
b.
What is
the probability that the
sample
mean is
more than
2
?
4.
Every year,
t
esters take the Law School Admission Test (LSAT). One year, the scores had a mean
of
150
and
a standard deviation of 9
points,
respectively.
Suppose that in the scoring process, test officials audit
random samples of
36
tests.
a.
What is the standard error
of the
mean?
b.
What is the probability that the sample mean
scores of the test
is
between 1
48.5
and
1
53
?
5.
The weights of
newborn babies
are
normally distributed with a mean of
3.05
kg
and a standard deviation
of 0.
45
kg
. A random sample of
25 newborn babies
is
selected.
a.
What is the standard error for the sample mean?
b.
What is the probability that the sample mean weight of
babies
is less than
2.80
kg
?
6.
The
average
of
text messages
per da
y
is
100
and
the population
standard deviation
is
20
text messages.
Suppose a random sample
of 49 students
is taken.
a.
F
ind
the standard
error
?
b.
What is the probability that the
sample mean is between 95 and 105 messages?
7.
The amount of time necessary for assembly line workers to complete a product is a
normal
random
variable with a mean of 15 minutes and a standard deviation of 8 minutes. A random
sample
of 16 workers
is selected.
a.
What is the probability that t
he sample mean of assembly time is exactly 20 minutes?
b.
What is the probability that the sample mean of assembly time is between 18 and 22 minutes?
1
Practice Questions Chapter 7
1. The number of calories in a salad on the lunch menu is normally distributed with mean 200 and standard
deviation 5. A random sample of 16 salads is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean is between 198 and 201 calories?
2. Assume that the amount of sugar in a can of soft drink has a normal distribution with a mean of 50 grams
and a standard deviation of 10. A random sample of 25 cans is taken.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean for sugar is between 48 and 52 grams?
c. What is the probability that the sample mean for sugar is exactly 53 grams?
3. The number of calories in a salad on the lunch menu is normally distributed with mean 230 and standard
deviation 20. A random sample of 16 salads is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean is more than 2?
4. Every year, testers take the Law School Admission Test (LSAT). One year, the scores had a mean of 150
and a standard deviation of 9 points, respectively. Suppose that in the scoring process, test officials audit
random samples of 36 tests.
a. What is the standard error of the mean?
b. What is the probability that the sample mean scores of the test is between 148.5 and 153?
5. The weights of newborn babies are normally distributed with a mean of 3.05 kg and a standard deviation
of 0.45 kg. A random sample of 25 newborn babies is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean weight of babies is less than 2.80 kg?
6. The average of text messages per day is 100 and the population standard deviation is 20 text messages.
Suppose a random sample of 49 students is taken.
a. Find the standard error?
b. What is the probability that the sample mean is between 95 and 105 messages?
7. The amount of time necessary for assembly line workers to complete a product is a normal random
variable with a mean of 15 minutes and a standard deviation of 8 minutes. A random sample of 16 workers
is selected.
a. What is the probability that the sample mean of assembly time is exactly 20 minutes?
b. What is the probability that the sample mean of assembly time is between 18 and 22 minutes?
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Home>Mathematics homework help>Basic Stat HW Ch 7
Practice Questions Chapter 7
1. The number of calories in a salad on the lunch menu is normally distributed with mean 200 and standard deviation 5. A random sample of 16 salads is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean is between 198 and 201 calories?
2. Assume that the amount of sugar in a can of soft drink has a normal distribution with a mean of 50 grams and a standard deviation of 10. A random sample of 25 cans is taken.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean for sugar is between 48 and 52 grams?
c. What is the probability that the sample mean for sugar is exactly 53 grams?
3. The number of calories in a salad on the lunch menu is normally distributed with mean 230 and standard deviation 20. A random sample of 16 salads is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean is more than 2?
4. Every year, testers take the Law School Admission Test (LSAT). One year, the scores had a mean of 150 and a standard deviation of 9 points, respectively. Suppose that in the scoring process, test officials audit random samples of 36 tests.
a. What is the standard error of the mean?
b. What is the probability that the sample mean scores of the test is between 148.5 and 153?
5. The weights of newborn babies are normally distributed with a mean of 3.05 kg and a standard deviation of 0.45 kg. A random sample of 25 newborn babies is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean weight of babies is less than 2.80 kg?
6. The average of text messages per day is 100 and the population standard deviation is 20 text messages. Suppose a random sample of 49 students is taken.
a. Find the standard error?
b. What is the probability that the sample mean is between 95 and 105 messages?
7. The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 8 minutes. A random sample of 16 workers is selected.
a. What is the probability that the sample mean of assembly time is exactly 20 minutes?
b. What is the probability that the sample mean of assembly time is between 18 and 22 minutes?
1
1
Practice Questions Chapter 7
1.
The number of calories in a salad on the lunch menu is normally distributed with mean 200 and standard
deviation 5.
A
random sample of
16 salads
is selected
.
a.
What is the standard error for the sample mean?
b.
What is
the probability that the
sample
mean is
between
198
and
201
calories
?
2.
Assume that the
amount
of
sugar in a can of soft drink
has a
normal
distribution with a mean of
5
0 grams
and a
standard deviation
of 1
0
. A random sample of 25
cans
is
taken
.
a.
W
hat is the standard error for the sample
mean?
b.
What is the probability that the sample mean
for sugar
is between
48
and
52
grams?
c.
What is the probability that the sample mean for sugar is
exactly 53
grams?
3.
The number of calories in a salad on the lunch menu is
normally
distributed with mean
23
0
and standard
deviation
2
0
.
A
random sample of
16
salads
is selected
.
a.
What is the
standard error for the sample mean?
b.
What is
the probability that the
sample
mean is
more than
2
?
4.
Every year,
t
esters take the Law School Admission Test (LSAT). One year, the scores had a mean
of
150
and
a standard deviation of 9
points,
respectively.
Suppose that in the scoring process, test officials audit
random samples of
36
tests.
a.
What is the standard error
of the
mean?
b.
What is the probability that the sample mean
scores of the test
is
between 1
48.5
and
1
53
?
5.
The weights of
newborn babies
are
normally distributed with a mean of
3.05
kg
and a standard deviation
of 0.
45
kg
. A random sample of
25 newborn babies
is
selected.
a.
What is the standard error for the sample mean?
b.
What is the probability that the sample mean weight of
babies
is less than
2.80
kg
?
6.
The
average
of
text messages
per da
y
is
100
and
the population
standard deviation
is
20
text messages.
Suppose a random sample
of 49 students
is taken.
a.
F
ind
the standard
error
?
b.
What is the probability that the
sample mean is between 95 and 105 messages?
7.
The amount of time necessary for assembly line workers to complete a product is a
normal
random
variable with a mean of 15 minutes and a standard deviation of 8 minutes. A random
sample
of 16 workers
is selected.
a.
What is the probability that t
he sample mean of assembly time is exactly 20 minutes?
b.
What is the probability that the sample mean of assembly time is between 18 and 22 minutes?
1
Practice Questions Chapter 7
1. The number of calories in a salad on the lunch menu is normally distributed with mean 200 and standard
deviation 5. A random sample of 16 salads is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean is between 198 and 201 calories?
2. Assume that the amount of sugar in a can of soft drink has a normal distribution with a mean of 50 grams
and a standard deviation of 10. A random sample of 25 cans is taken.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean for sugar is between 48 and 52 grams?
c. What is the probability that the sample mean for sugar is exactly 53 grams?
3. The number of calories in a salad on the lunch menu is normally distributed with mean 230 and standard
deviation 20. A random sample of 16 salads is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean is more than 2?
4. Every year, testers take the Law School Admission Test (LSAT). One year, the scores had a mean of 150
and a standard deviation of 9 points, respectively. Suppose that in the scoring process, test officials audit
random samples of 36 tests.
a. What is the standard error of the mean?
b. What is the probability that the sample mean scores of the test is between 148.5 and 153?
5. The weights of newborn babies are normally distributed with a mean of 3.05 kg and a standard deviation
of 0.45 kg. A random sample of 25 newborn babies is selected.
a. What is the standard error for the sample mean?
b. What is the probability that the sample mean weight of babies is less than 2.80 kg?
6. The average of text messages per day is 100 and the population standard deviation is 20 text messages.
Suppose a random sample of 49 students is taken.
a. Find the standard error?
b. What is the probability that the sample mean is between 95 and 105 messages?
7. The amount of time necessary for assembly line workers to complete a product is a normal random
variable with a mean of 15 minutes and a standard deviation of 8 minutes. A random sample of 16 workers
is selected.
a. What is the probability that the sample mean of assembly time is exactly 20 minutes?
b. What is the probability that the sample mean of assembly time is between 18 and 22 minutes?
Applied Sciences
Architecture and Design
Biology
Business & Finance
Chemistry
Computer Science
Geography
Geology
Education
Engineering
English
Environmental science
Spanish
Government
History
Human Resource Management
Information Systems
Law
Literature
Mathematics
Nursing
Physics
Political Science
Psychology
Reading
Science
Social Science
Home
Blog
Archive
Essay
Reviews
Contact
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