MATH 1280 Final Actual Exam Questions With Reviewed 100%
Correct Detailed Answers & Rationales
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Estimating the Expectation
A measurement follows the normal distribution with a standard deviation of 15 and
an unknown expectation μ. You can consider that measurement to be the "original"
distribution. Two statisticians propose two distinct ways to estimate the unknown
quantity μ with the aid of a sample of size 36. They will do that by evaluating two
different SAMPLING DISTRIBUTIONS to determine which method is better. There are
two statisticians involved in this task: statistician "A" and statistician "B." Statistician A
proposes to use the sampling distribution of the sample average as an estimate.
Statistician B proposes to use the sampling distribution of the sample median
instead. In order to choose between the two options they agree to prefer the statistic
that has a smaller variance (with respect to the sampling distribution). Tasks 1-9
refer to this problem of comparing the two statistics to each other.
Question 1 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the
expectation of the statistic that was proposed by Statistician A is equal to:
Answer: 5
,Question 2 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the
standard deviation of the statistic that was proposed by Statistician A is equal to:
Answer: 2.5
Question 3 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the
expectation of the statistic that was proposed by Statistician B is equal to: (In order
to answer this question you may need to conduct a simulation, similar to the
simulations that are presented in the book. Choose the option closest to the
outcome of the simulation.)
Select one:
a. 2.3
b. 3.7
c. 4.1
d. 5.0
Question 4 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the
standard deviation of the statistic that was proposed by Statistician B is equal to: (In
order to answer this question you may need to conduct a simulation, similar to the
simulations that are presented in the book. Choose the option closest to the
outcome of the simulation.)
Select one:
a. 2.0
b. 2.5
c. 3.0
d. 3.5
, Question 5 Incorrect Mark 0.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 2.3 (μ=2.3). Then
the expectation of the statistic that was proposed by Statistician A is equal to:
Answer: 2.5
Question 6 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 2.3 (μ=2.3). Then
the standard deviation of the statistic that was proposed by Statistician A is equal to:
Answer: 2.5
Question 7 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 2.3 (μ=2.3). Then
the expectation of the statistic that was proposed by Statistician B is equal to: (In
order to answer this question you may need to conduct a simulation, similar to the
simulations that are presented in the book. Choose the option closest to the
outcome of the simulation.)
Select one:
a. 2.3
b. 3.7
c. 4.1
d. 5.0
Correct Detailed Answers & Rationales
Guaranteed Pass!!
Information
Estimating the Expectation
A measurement follows the normal distribution with a standard deviation of 15 and
an unknown expectation μ. You can consider that measurement to be the "original"
distribution. Two statisticians propose two distinct ways to estimate the unknown
quantity μ with the aid of a sample of size 36. They will do that by evaluating two
different SAMPLING DISTRIBUTIONS to determine which method is better. There are
two statisticians involved in this task: statistician "A" and statistician "B." Statistician A
proposes to use the sampling distribution of the sample average as an estimate.
Statistician B proposes to use the sampling distribution of the sample median
instead. In order to choose between the two options they agree to prefer the statistic
that has a smaller variance (with respect to the sampling distribution). Tasks 1-9
refer to this problem of comparing the two statistics to each other.
Question 1 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the
expectation of the statistic that was proposed by Statistician A is equal to:
Answer: 5
,Question 2 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the
standard deviation of the statistic that was proposed by Statistician A is equal to:
Answer: 2.5
Question 3 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the
expectation of the statistic that was proposed by Statistician B is equal to: (In order
to answer this question you may need to conduct a simulation, similar to the
simulations that are presented in the book. Choose the option closest to the
outcome of the simulation.)
Select one:
a. 2.3
b. 3.7
c. 4.1
d. 5.0
Question 4 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the
standard deviation of the statistic that was proposed by Statistician B is equal to: (In
order to answer this question you may need to conduct a simulation, similar to the
simulations that are presented in the book. Choose the option closest to the
outcome of the simulation.)
Select one:
a. 2.0
b. 2.5
c. 3.0
d. 3.5
, Question 5 Incorrect Mark 0.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 2.3 (μ=2.3). Then
the expectation of the statistic that was proposed by Statistician A is equal to:
Answer: 2.5
Question 6 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 2.3 (μ=2.3). Then
the standard deviation of the statistic that was proposed by Statistician A is equal to:
Answer: 2.5
Question 7 Correct Mark 1.00 out of 1.00
Assume that the actual expectation of the measurement is equal to 2.3 (μ=2.3). Then
the expectation of the statistic that was proposed by Statistician B is equal to: (In
order to answer this question you may need to conduct a simulation, similar to the
simulations that are presented in the book. Choose the option closest to the
outcome of the simulation.)
Select one:
a. 2.3
b. 3.7
c. 4.1
d. 5.0
