Question

1.What is the best way to describe the expected value of M?​

​a.The sample standard deviation

​b.The standard deviation for the distribution of sample means

​c.A sample mean

​d.The mean of the distribution of sample means

2.Which combination of factors is more likely to produce small standard error?

a.σ = 5; n = 25

b.σ = 5; n = 100

c.σ = 10; n = 25

d.σ = 10; n = 100

3.The standard error is written out with which of the following notation?​

a.​µ

b.​σ

​c.M_M

​d.σ_M

4.According to the Central Limit Theorem - when will the distribution of sample means be normal?​

​a.Only if the population distribution from which a sample comes from is normal

b.The distribution of sample means is always normal

c.If the population from which a sample comes from is normal OR if the sample size is greater than 30

​d.Only if the sample size is greater than 30

Answer 1

1. What is the best way to describe the expected value of M?​

​c. A sample mean

Explanation: Expected value of population mean is simply the value of sample mean

2. Which combination of factors is more likely to produce small standard error?

b. σ = 5; n = 100

Explanation: The formula of standard error is

So a smaller sigma and a larger value of n, will give the smaller standard error

3. The standard error is written out with which of the following notation?​

​d. σ_M

Explanation: It is the convention we follow

4. According to the Central Limit Theorem - when will the distribution of sample means be normal?​

c. If the population from which a sample comes from is normal OR if the sample size is greater than 30

Explanation: CLT can be applied in either of the two scenarios mentioned in this statement