STATS MODULE 5 EXAM QUESTIONS
AND ANSWERS
What would be a valid statement regarding a 95% confidence interval for the unknown
mean of a population. - ANSWERWe 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. - ANSWER95% 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. - ANSWERIf 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. - ANSWERThe 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. - ANSWERTrue
There is more probability in the tails for a normal distribution. - ANSWERFalse
As n increases the t-distribution approaches the standard normal distribution. -
ANSWERTrue
As n increases, the tails in the t-distribution become "fatter". - ANSWERFalse
The shape of a t-distribution depends on its degrees of freedom. - ANSWERTrue
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. - ANSWERFalse
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. - ANSWERTrue
t-distributions are similar in shape to the standard normal curve. - ANSWERTrue
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?
AND ANSWERS
What would be a valid statement regarding a 95% confidence interval for the unknown
mean of a population. - ANSWERWe 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. - ANSWER95% 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. - ANSWERIf 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. - ANSWERThe 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. - ANSWERTrue
There is more probability in the tails for a normal distribution. - ANSWERFalse
As n increases the t-distribution approaches the standard normal distribution. -
ANSWERTrue
As n increases, the tails in the t-distribution become "fatter". - ANSWERFalse
The shape of a t-distribution depends on its degrees of freedom. - ANSWERTrue
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. - ANSWERFalse
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. - ANSWERTrue
t-distributions are similar in shape to the standard normal curve. - ANSWERTrue
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?
