QUESTIONS AND ANSWERS
What would be a valid statement regarding a 95% confidence
interval for the unknown mean of a population. - CORRECT
ANSWER-We are 95% confident that the unknown population
mean is contained in the interval.
What would be a valid statement regarding a 95% confidence
interval for the unknown mean of a population. - CORRECT
ANSWER-95% of the confidence intervals calculated using this
method will contain the true population mean.
What would be a valid statement regarding a 95% confidence
interval for the unknown mean of a population. - CORRECT
ANSWER-If you produced 100 confidence intervals using the
same method, we would expect that approximately 95 of them
will contain the true population mean.
What would be a valid statement regarding a 95% confidence
interval for the unknown mean of a population. - CORRECT
ANSWER-The method used to generate this interval will
correctly generate other intervals that contain the true
population mean 95% of the time.
A t-distribution has thicker tails than a normal distribution. -
CORRECT ANSWER-True
There is more probability in the tails for a normal distribution. -
CORRECT ANSWER-False
, As n increases the t-distribution approaches the standard
normal distribution. - CORRECT ANSWER-True
As n increases, the tails in the t-distribution become "fatter". -
CORRECT ANSWER-False
The shape of a t-distribution depends on its degrees of
freedom. - CORRECT ANSWER-True
We will always use a student's t distribution when we are given
raw data to analyze, regardless if we know the population
standard deviation or not. - CORRECT ANSWER-False
We use the Student's t-distribution when we estimate the mean
of a population that is normally distributed, has an unknown
standard deviation, and small n. - CORRECT ANSWER-True
t-distributions are similar in shape to the standard normal curve.
- CORRECT ANSWER-True
If we were to compute a 95% confidence interval using the
Student's t distribution for a population of interest using a
random sample of size n, how would the following impact the
confidence interval?
- If n were to increase, - CORRECT ANSWER-the size of our
interval would decrease
If we were to compute a 95% confidence interval using the
Student's t distribution for a population of interest using a
random sample of size n, how would the following impact the
confidence interval?
- If n were to decrease, - CORRECT ANSWER-the size of our
interval would increase