Question

In: Statistics and Probability

As the sample size increases the standard error becomes smalller the sampling error increases the population...

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

Solutions

Expert Solution

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




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