STA 013 - FINAL EXAM (MULTIPLE CHOICE)
QUESTIONS WITH VERIFIED ANSWERS
In order to estimate the average numbers of miles that students who live off-campus
commute to classes every day, the following statistics were given: n = 50, x̄ = 5.21, and
s
= 2.48. The point estimate of the true population mean µ is:
a. 1.96
b. 2.10
c. 5.21
d. 7.07
e. 2.78 - Answers - c. 5.21
The dean of admissions in a large university has determined that the scores of the
freshman class in a mathematics test are normally distributed with a mean of 82 and a
standard deviation of 8. Based on this information, what is the mean of the sampling
distribution of the sample mean x̄ if a sample of 64 students is selected at random from
the entire freshman class?
a. between 74 and 90
b. between 78 and 86
c. 64
d. 70
e. 82 - Answers - e. 82
Given a sampling distribution of the sample mean x̄ that is normally distributed and has
a mean of 30 and a standard deviation of 8, a sample mean of 40 corresponds to:
a. a z-value of -1.25
b. a z-value of +1.25
c. a z-value of +2.25
d. a sample size of 120
e. a sample size of 300 - Answers - b. a z-value of +1.25
If all possible samples of size n are drawn from a large population with a mean of µ and
a standard deviation of 𝜎, then the standard error of the sample mean is inversely
proportional to:
a. µ
b. õ
QUESTIONS WITH VERIFIED ANSWERS
In order to estimate the average numbers of miles that students who live off-campus
commute to classes every day, the following statistics were given: n = 50, x̄ = 5.21, and
s
= 2.48. The point estimate of the true population mean µ is:
a. 1.96
b. 2.10
c. 5.21
d. 7.07
e. 2.78 - Answers - c. 5.21
The dean of admissions in a large university has determined that the scores of the
freshman class in a mathematics test are normally distributed with a mean of 82 and a
standard deviation of 8. Based on this information, what is the mean of the sampling
distribution of the sample mean x̄ if a sample of 64 students is selected at random from
the entire freshman class?
a. between 74 and 90
b. between 78 and 86
c. 64
d. 70
e. 82 - Answers - e. 82
Given a sampling distribution of the sample mean x̄ that is normally distributed and has
a mean of 30 and a standard deviation of 8, a sample mean of 40 corresponds to:
a. a z-value of -1.25
b. a z-value of +1.25
c. a z-value of +2.25
d. a sample size of 120
e. a sample size of 300 - Answers - b. a z-value of +1.25
If all possible samples of size n are drawn from a large population with a mean of µ and
a standard deviation of 𝜎, then the standard error of the sample mean is inversely
proportional to:
a. µ
b. õ
