MATH 110 Statistics Final Exam – Portage Learning –
2025/2026 Edition with Correct Answers
X = the number of automobiles requiring repairs
Y = the number of automobiles not requiring repairs
30% of the automobiles inspected at a state inspection station required repairs to meet the
inspection standard. Six drivers arrive for auto inspections.
Find the probability that exactly two automobiles will require repair. - ANSWER .3241
A filling machine is supposed to be putting 12 ounces of soda into cans. There have been
concerns that it is underfilling the cans. A sample of 200 cans is taken and the mean amount in
the sample is 11.42 ounces. An hypothesis test is going to be conducted to see if the sample
indicates that the mean amount is significantly less than 12 ounces. Which of the following
would be the correct hypotheses for this test? - ANSWER H0 : µ = 12
Ha : µ < 12
,It has been determined that 45% of all college students attend schools within 150 miles of their
homes.
So X = # of students who live within 150 miles of home
Y = # of students who do not live within 150 miles of home
In a sample of 50 college students is taken.
Which of the following is a true statement about this distribution? - ANSWER It is normal
because np and nq are both greater than 5
Which of the following symbols does NOT represent a statistic? - ANSWER µ
Suppose the manager for a car dealership wants to know the proportion of white cars owned in
his town. He sent one of his employees out and instructs him to take a sample of 150 cars and
use that to build a 98% confidence interval to estimate the overall proportion. In the sample of
150 cars, there were 87 that were white. Help this employee to begin building the confidence
interval. - ANSWER .58 ± 2.326(σp̂)
In the following Binomial problem
X = # of planes that are on time p = .80
Y = # of planes that are not on time q = .20
,To find the probability that more than 42 of the next 60 planes will be on time,
which of the following would be an appropriate calculation? - ANSWER Z = 42.5 - 48 /
3.098
Suppose the variance for a set of weights is 42.3 lbs2 . What is the standard deviation? -
ANSWER 6.5 lbs
A study was conducted to investigate the relationship between the number of miles driven by a
family per
week y and the number of children in the family x. From the data collected the equation of the
least
squares regression line was ŷ = 100 + 10x and the correlation coefficient was r = .8.
What would be the estimated number of miles driven per week for a family with 2 children? -
ANSWER 120
A study was conducted to investigate the relationship between the number of miles driven by a
family per week y and the number of children in the family x. From the data collected the
equation of the least squares regression line was ŷ = 100 + 10x and the correlation coefficient
was r = .8.
, Which of the following would be the correct interpretation of the slope for this regression
equation? - ANSWER As the number of children in the family increases by 1, the distance
driven per week increases by 10 miles.
Which of the following could never be described by a Binomial distribution? - ANSWER the
amount of water used daily by a single household
If it was determined that it was necessary to use degrees of freedom in a problem where there
was a 98% level of confidence and that sample size was 12, what value would you use from the
table? - ANSWER 2.718
A survey of college students taking the professional exam to be certified as public school
teachers shows that 25 percent fail. On a national exam day, 12,000 students take the test. Let X
denote the number of students who fail.
Find the mean and standard deviation of this Binomial random variable X. - ANSWER 3000;
47.43
2025/2026 Edition with Correct Answers
X = the number of automobiles requiring repairs
Y = the number of automobiles not requiring repairs
30% of the automobiles inspected at a state inspection station required repairs to meet the
inspection standard. Six drivers arrive for auto inspections.
Find the probability that exactly two automobiles will require repair. - ANSWER .3241
A filling machine is supposed to be putting 12 ounces of soda into cans. There have been
concerns that it is underfilling the cans. A sample of 200 cans is taken and the mean amount in
the sample is 11.42 ounces. An hypothesis test is going to be conducted to see if the sample
indicates that the mean amount is significantly less than 12 ounces. Which of the following
would be the correct hypotheses for this test? - ANSWER H0 : µ = 12
Ha : µ < 12
,It has been determined that 45% of all college students attend schools within 150 miles of their
homes.
So X = # of students who live within 150 miles of home
Y = # of students who do not live within 150 miles of home
In a sample of 50 college students is taken.
Which of the following is a true statement about this distribution? - ANSWER It is normal
because np and nq are both greater than 5
Which of the following symbols does NOT represent a statistic? - ANSWER µ
Suppose the manager for a car dealership wants to know the proportion of white cars owned in
his town. He sent one of his employees out and instructs him to take a sample of 150 cars and
use that to build a 98% confidence interval to estimate the overall proportion. In the sample of
150 cars, there were 87 that were white. Help this employee to begin building the confidence
interval. - ANSWER .58 ± 2.326(σp̂)
In the following Binomial problem
X = # of planes that are on time p = .80
Y = # of planes that are not on time q = .20
,To find the probability that more than 42 of the next 60 planes will be on time,
which of the following would be an appropriate calculation? - ANSWER Z = 42.5 - 48 /
3.098
Suppose the variance for a set of weights is 42.3 lbs2 . What is the standard deviation? -
ANSWER 6.5 lbs
A study was conducted to investigate the relationship between the number of miles driven by a
family per
week y and the number of children in the family x. From the data collected the equation of the
least
squares regression line was ŷ = 100 + 10x and the correlation coefficient was r = .8.
What would be the estimated number of miles driven per week for a family with 2 children? -
ANSWER 120
A study was conducted to investigate the relationship between the number of miles driven by a
family per week y and the number of children in the family x. From the data collected the
equation of the least squares regression line was ŷ = 100 + 10x and the correlation coefficient
was r = .8.
, Which of the following would be the correct interpretation of the slope for this regression
equation? - ANSWER As the number of children in the family increases by 1, the distance
driven per week increases by 10 miles.
Which of the following could never be described by a Binomial distribution? - ANSWER the
amount of water used daily by a single household
If it was determined that it was necessary to use degrees of freedom in a problem where there
was a 98% level of confidence and that sample size was 12, what value would you use from the
table? - ANSWER 2.718
A survey of college students taking the professional exam to be certified as public school
teachers shows that 25 percent fail. On a national exam day, 12,000 students take the test. Let X
denote the number of students who fail.
Find the mean and standard deviation of this Binomial random variable X. - ANSWER 3000;
47.43
