MATH WRITTEN ASSIGNMENT UNIT 8

MATH WRITTEN ASSIGNMENT
UNIT 8

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

Question 1
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the e
Answer:


5




Feedback
The correct answer is: 5


Question 2
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the s
Answer:


2.5




Feedback
The correct answer is: 2.5


Question 3
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the e

, that are presented in the book. Choose the option closest to the outcome of the simulati
Select one: a. 2.3




b. 3.7

c. 4.1

d. 5.0



Feedback
The correct answer is: 5.0


Question 4
Assume that the actual expectation of the measurement is equal to 5 (μ=5). Then the stan
Select one: a. 2.0




b. 2.5

c. 3.0


d. 3.5



Feedback
The correct answer is: 3.0


Question 5
Assume that the actual expectation of the measurement is equal to 2.3 (μ=2.3). Then t