MATH 225N Statistics Final EXAM –
Chamberlain College of Nursing MATH
225N – MATH CHAMBERLAIN COLLEGE
OF NURSING 2026!!
1. A club elects a president, vice-president, and secretary-
treasurer. How many sets of officers are possible if there are
12 members and any member can be elected to each position?
No person can hold more than one office. - ANSWER-1320
2. A doctor at a local hospital is interested in estimating the birth
weight of infants. How large a sample must she select if she
desires to be 98% confident that the true mean is within 2
ounces of the sample mean? The standard deviation of the
birth weights is known to be 5 ounces. - ANSWER-34
3. A farmer was interested in determining how many
grasshoppers were in his field. He knows that the distribution
of grasshoppers may not be normally distributed in his field
due to growing conditions. As he drives his tractor down each
row he counts how many grasshoppers he sees flying away.
After several rows he figures the mean number of flights to be
57 with a standard deviation of 12. What is the probability of
the farmer will count 60 or more flights on average in the next
40 rows down which he drives his tractor? - ANSWER-0.5710
4. A human gene carries a certain disease from the mother to the
child with a probability rate of 49%. That is, there is a 49%
chance that the child becomes infected with the disease.
Suppose a female carrier of the gene has three children.
Assume that the infections of the three children are
independent of one another. Find the probability that all three
, of the children get the disease from their mother. Round to the
nearest thousandth. - ANSWER-0.118
5. A human gene carries a certain disease from the mother to the
child with a probability rate of 57%. That is, there is a 57%
chance that the child becomes infected with the disease.
Suppose a female carrier of the gene has four children.
Assume that the infections of the four children are
independent of one another. Find the probability that at least
one of the children get the disease from their mother. Round
to the nearest thousandth. - ANSWER-0.966
6. A human gene carries a certain disease from the mother to the
child with a probability rate of 57%. That is, there is a 57%
chance that the child becomes infected with the disease.
Suppose a female carrier of the gene has four children.
Assume that the infections of the four children are
independent of one another. Find the probability that at least
one of the children get the disease from their mother. Round
to the nearest thousandth. - ANSWER-0.966
7. A lab orders a shipment of 100 rats a week, 52 weeks a year,
from a rat supplier for experiments that the lab conducts.
Prices for each weekly shipment of rats follow the distribution
below:
8. How much should the lab budget for next year's rat orders
assuming this distribution does not change. (Hint: find the
expected price.) - ANSWER-$637.00
9. A local eat-in pizza restaurant wants to investigate the
possibility of starting to deliver pizzas. The owner of the store
has determined that home delivery will be successful if the
average time spent on the deliveries does not exceed 40
minutes. The owner has randomly selected 22 customers and
, has delivered pizzas to their homes in order to test if the mean
delivery time actually exceeds 40 minutes. Suppose the P-
value for the test was found to be 0.0281. State the correct
conclusion. - ANSWER-At α = 0.025, we fail to reject H0.
10. A local eat-in pizza restaurant wants to investigate the
possibility of starting to deliver pizzas. The owner of the store
has determined that home delivery will be successful if the
average time spent on the deliveries does not exceed 40
minutes. The owner has randomly selected 22 customers and
has delivered pizzas to their homes in order to test if the mean
delivery time actually exceeds 40 minutes. Suppose the P-
value for the test was found to be 0.0281. State the correct
conclusion. - ANSWER-At α = 0.025, we fail to reject H0.
11. A medical researcher wishes to determine if there is a
relationship between the number of prescriptions written by
medical professionals, per 100, children and the child's age.
She surveys all the pediatrician's in a geographical region to
collect her data. What is the response variable? - ANSWER-age
of the child
12. A physical fitness association is including the mile run in
its secondary-school fitness test. The time for this event for
boys in secondary school is known to possess a normal
distribution with a mean of 450 seconds and a standard
deviation of 50 seconds. Between what times do we expect
most (approximately 95%) of the boys to run the mile? -
ANSWER-between 352 and 548 sec
13. A physical fitness association is including the mile run in
its secondary-school fitness test. The time for this event for
boys in secondary school is known to possess a normal
distribution with a mean of 450 seconds and a standard
deviation of 60 seconds. Find the probability that a randomly
Chamberlain College of Nursing MATH
225N – MATH CHAMBERLAIN COLLEGE
OF NURSING 2026!!
1. A club elects a president, vice-president, and secretary-
treasurer. How many sets of officers are possible if there are
12 members and any member can be elected to each position?
No person can hold more than one office. - ANSWER-1320
2. A doctor at a local hospital is interested in estimating the birth
weight of infants. How large a sample must she select if she
desires to be 98% confident that the true mean is within 2
ounces of the sample mean? The standard deviation of the
birth weights is known to be 5 ounces. - ANSWER-34
3. A farmer was interested in determining how many
grasshoppers were in his field. He knows that the distribution
of grasshoppers may not be normally distributed in his field
due to growing conditions. As he drives his tractor down each
row he counts how many grasshoppers he sees flying away.
After several rows he figures the mean number of flights to be
57 with a standard deviation of 12. What is the probability of
the farmer will count 60 or more flights on average in the next
40 rows down which he drives his tractor? - ANSWER-0.5710
4. A human gene carries a certain disease from the mother to the
child with a probability rate of 49%. That is, there is a 49%
chance that the child becomes infected with the disease.
Suppose a female carrier of the gene has three children.
Assume that the infections of the three children are
independent of one another. Find the probability that all three
, of the children get the disease from their mother. Round to the
nearest thousandth. - ANSWER-0.118
5. A human gene carries a certain disease from the mother to the
child with a probability rate of 57%. That is, there is a 57%
chance that the child becomes infected with the disease.
Suppose a female carrier of the gene has four children.
Assume that the infections of the four children are
independent of one another. Find the probability that at least
one of the children get the disease from their mother. Round
to the nearest thousandth. - ANSWER-0.966
6. A human gene carries a certain disease from the mother to the
child with a probability rate of 57%. That is, there is a 57%
chance that the child becomes infected with the disease.
Suppose a female carrier of the gene has four children.
Assume that the infections of the four children are
independent of one another. Find the probability that at least
one of the children get the disease from their mother. Round
to the nearest thousandth. - ANSWER-0.966
7. A lab orders a shipment of 100 rats a week, 52 weeks a year,
from a rat supplier for experiments that the lab conducts.
Prices for each weekly shipment of rats follow the distribution
below:
8. How much should the lab budget for next year's rat orders
assuming this distribution does not change. (Hint: find the
expected price.) - ANSWER-$637.00
9. A local eat-in pizza restaurant wants to investigate the
possibility of starting to deliver pizzas. The owner of the store
has determined that home delivery will be successful if the
average time spent on the deliveries does not exceed 40
minutes. The owner has randomly selected 22 customers and
, has delivered pizzas to their homes in order to test if the mean
delivery time actually exceeds 40 minutes. Suppose the P-
value for the test was found to be 0.0281. State the correct
conclusion. - ANSWER-At α = 0.025, we fail to reject H0.
10. A local eat-in pizza restaurant wants to investigate the
possibility of starting to deliver pizzas. The owner of the store
has determined that home delivery will be successful if the
average time spent on the deliveries does not exceed 40
minutes. The owner has randomly selected 22 customers and
has delivered pizzas to their homes in order to test if the mean
delivery time actually exceeds 40 minutes. Suppose the P-
value for the test was found to be 0.0281. State the correct
conclusion. - ANSWER-At α = 0.025, we fail to reject H0.
11. A medical researcher wishes to determine if there is a
relationship between the number of prescriptions written by
medical professionals, per 100, children and the child's age.
She surveys all the pediatrician's in a geographical region to
collect her data. What is the response variable? - ANSWER-age
of the child
12. A physical fitness association is including the mile run in
its secondary-school fitness test. The time for this event for
boys in secondary school is known to possess a normal
distribution with a mean of 450 seconds and a standard
deviation of 50 seconds. Between what times do we expect
most (approximately 95%) of the boys to run the mile? -
ANSWER-between 352 and 548 sec
13. A physical fitness association is including the mile run in
its secondary-school fitness test. The time for this event for
boys in secondary school is known to possess a normal
distribution with a mean of 450 seconds and a standard
deviation of 60 seconds. Find the probability that a randomly
