BUAL 2650 EXAM 1 HW Questions With 100% Correct Answers
The sampling distribution of the sample mean _x is the probability distribution of a
population. Describe this population. - Answer-The probability distribution of the population
of all possible samples means that could be obtained from all possible samples of the same
size.
What does the Central Limit Theorem tell us about the sampling distribution of the sample
mean? - Answer-If the sample size n is sufficiently large, then the population of all possible
sample means is approximately nor-mally distributed
Explain what is meant by the margin of error for a confidence interval. What error are we
talking about in the context of an interval for μ? - Answer-A margin of error tells you how
many percentage points your results will differ from the real population value
If we reject H0 when it is true - Answer-Type I error
Denote the probability of a Type I error - Answer-α
If we do not reject H0 when it is false - Answer-Type II error
Denote the probability of a Type II error - Answer-β
The point on the horizontal axis under the standard normal curve that gives a right-hand tail
area equal to α - Answer-Critical value
The probability, computed assuming that the null hypothesis H0 is true, of observing a value
of the test statistic that is at least as contradictory to H0 and supportive of Ha as the value
computed from the sample data - Answer-P-value
The sampling distribution of the sample mean _x is the probability distribution of a
population. Describe this population. - Answer-The probability distribution of the population
of all possible samples means that could be obtained from all possible samples of the same
size.
What does the Central Limit Theorem tell us about the sampling distribution of the sample
mean? - Answer-If the sample size n is sufficiently large, then the population of all possible
sample means is approximately nor-mally distributed
Explain what is meant by the margin of error for a confidence interval. What error are we
talking about in the context of an interval for μ? - Answer-A margin of error tells you how
many percentage points your results will differ from the real population value
If we reject H0 when it is true - Answer-Type I error
Denote the probability of a Type I error - Answer-α
If we do not reject H0 when it is false - Answer-Type II error
Denote the probability of a Type II error - Answer-β
The point on the horizontal axis under the standard normal curve that gives a right-hand tail
area equal to α - Answer-Critical value
The probability, computed assuming that the null hypothesis H0 is true, of observing a value
of the test statistic that is at least as contradictory to H0 and supportive of Ha as the value
computed from the sample data - Answer-P-value
