What proportion of 95% confidence intervals for the mean do not contain the population mean?
95% contain the mean, so 1 - 0.95 = 0.05 do not.
.05
0.0
Which is wider, a 95% confidence interval or a 99% confidence interval?
false
95% interval
true
99% interval
The wider the inverval, the more confident you are that the interval contains the population mean.
How does sample size affect the probability that the interval will contain the population mean?
false
The larger the sample size, the higher the probability the interval will contain the population mean.
false
The larger the sample size, the lower the probability the interval will contain the population mean.
true
Sample size has no effect on the probability the interval will contain the population mean.
Larger sample sizes decrease the width of confidence intervals but leave the probability that the interval contains the population mean unchanged.
Is it possible for the 95% interval to contain the population mean while the 99% confidence interval does not?
false
Yes
true
No
It is not possible because the 99% confidence interval extends the 95% confidence interval at both ends.