stats module 5 Questions with complete
solution
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
solution
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
