In: Statistics and Probability
As the sample size increases
the standard error becomes smalller |
the sampling error increases |
the population standard deviation increases |
the standard error becomes larger |
The purpose of the finite corretion factor for the standard error of the mean is to reflect the fact that the
sampling error is higher for a finite population when compared to an infinite population |
sampling error is lower for a finite population when compared to an infinite population |
sample size is not at least 30 |
the population standard deviation is higher |
The sampling distribution of the proportion follows the normal distribution when
n is at least 30 |
n/N is at least 5% |
np >= 5 and n(1-p) >=5 |
N is infinite |
Increasing the sample size when calculating a confidence interval while keeping the confidence level constant will
reduce the margin of error, resulting in a more narrow confidence interval |
increase the margin of error |
result in no change to the margin of error |
reduce the margin of error, resulting in a wider confidence interval |
A ________________ is defined as the probability that the interval will include the population parameter of interest.
margin of error |
confidence level |
level of significance |
standard error |
As the confidence level increases the width of the confidence interval ______________.
increases |
decreases |
stays the same |
doubles |
The pvalue for a hypothesis test is defined as the probability of observing a ____________________________________.
critcal value at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is true |
critcal value at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is false |
sample mean at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is true |
sample mean at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is false |
1) As the sample size increases:
Ans- The standard error becomes smalller.
2) The purpose of the finite correction factor for the standard error of the mean is to reflect the fact that the:
Ans: Sampling error is lower for a finite population when compared to an infinite one.
3) The sampling distribution of the proportion follows the normal distribution when
Ans: n is at least 30
4)Increasing the sample size when calculating a confidence interval while keeping the confidence level constant will
Ans: Reduce the margin of error, resulting in a more narrow confidence interval
5) ________________ is defined as the probability that the interval will include the population parameter of interest.
Ans: level of significance
6) As the confidence level increases the width of the confidence interval ______________.
Ans :increases
7)The p value for a hypothesis test is defined as the probability of observing a ____________________________________
Ans: Sample mean at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is true