1. The mean of the sampling distribution is equal to
a) the population standard deviation
b) the sample mean
c) the sample standard deviation
d) the population mean
e) none of the above
Answer: d) the population mean
2. The standard error of the sampling distribution when we know the
population standard deviation is equal to _
a) sM= s/
b) SM = s/
c) SM = s/
d) sM= s/
e) none of the above
Answer: a) sM= s/
3. The standard error of the sampling distribution when we do not know the population standard deviation is equal to ___________
a) sM= s/
b) SM = s/
c) SM = s/
d) sM= s/
e) none of the above
Answer: d) sM= s/
4. When the population standard deviation is known, the sampling distribution is a ________
a) binomial distribution
b) normal distribution
c) Poisson distribution
d) t-distribution
e) none of the above
Answer: b) normal distribution
5. When the population standard deviation is not known, the sampling distribution is a __________
a) binomial distribution
b) normal distribution
c) Poisson distribution
d) t-distribution
e) none of the above
Answer: d) t-distribution
6. If the size of the sample is increased the standard error
a) will increase
b) will remain the same
c) cannot be determined
d) will decrease
e) none of the above
Answer: d) will decrease
7. Independent samples are _____________
a) values from one sample that are not related or matched with the second sample
b) values from one sample that are related or matched with the second sample
c) values that is independent from any dependent variables
d) values that is not independent from any dependent variables
e) none of the above
Answer: a) values from one sample that are not related or matched with the second sample
8. Dependent samples are __________________
a) values from one sample that is not related or matched with the second sample
b) values from one sample that are related or matched with the second sample
c) values that is independent from any dependent variables
d) values that is not independent from any dependent variables
e) none of the above
Answer: b) values from one sample that are related or matched with the second sample
9. The usual sampling distribution of the differences between means is a ______________
a) normal distribution
b) t-distribution
c) two normal distributions
d) two t-distributions
e) none of the above
Answer: a) normal distribution
10. Two samples are dependent if the members of one sample _____________________
a) can be used to determine the members of the other sample
b) cannot be used to determine the members of the other sample
c) are not matched with the members with the member of the other sample
d) are selected from the sample population as the other sample
e) none of the above
Answer: a) can be used to determine the members of the other sample
11. For the following data, calculate the sampling distribution parameters.
µ=80, s=10, s=8, n=25
Answer: E [M] represents the estimation for sample mean which is same as population mean. This suggest that E [M] = µ. In the given case µ is 80. Therefore, E [M] also equals 80.
E [M] = 80.
For calculating the second component, following formula has been used.