SOLVED!!
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.
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
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
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
- If we had a smaller sample standard deviation, - ANSWERthe 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 we used the same sample but knew the population standard deviation, -
ANSWERthe size of our interval would decrease