Ban 280 Exam 2 Questions & Answers
2024/2025
Numbers that summarize data from an entire population are called - ANSWERSparameters
Sampling error is defined to be the - ANSWERSpositive difference between a sample statistic and the
corresponding population parameter
The symbol x¯ represents the - ANSWERSsample mean
If we take many samples from a population and calculate the sample means, all of the sample means will
always be the same. - ANSWERSFalse
x¯ is the point estimator for - ANSWERSμ
A sampling distribution for a sample mean is - ANSWERSthe distribution of sample means from all
possible samples of a certain size
The sampling distribution is the same as the population distribution. - ANSWERSFalse
The Standard Error of the Mean is - ANSWERSthe standard deviation of a sampling distribution of sample
means
The symbol use to represent the mean of the sampling distribution is - ANSWERSμx¯
According to the Central Limit Theorem, the mean of the sampling distribution of sample means -
ANSWERSis exactly the same as the population mean
The Standard Error of the Mean is given by - ANSWERS
, As the sample size increases, the standard error of the mean - ANSWERSdecreases
Consider a population that is negatively skewed. If we take all samples of size 47 from this population,
the sampling distribution of sample means - ANSWERSwill be normally distributed
Suppose that a population is normally distributed. If all samples of size 5 are taken from this population,
what can we say about the sampling distribution of sample means? - ANSWERSit will be normally
distributed
What is the goal of interval estimation? - ANSWERSto estimate an unknown population parameter
What are Confidence Intervals? - ANSWERSConfidence Intervals provide a range of values to estimate a
population parameter
If you want to be more confident - ANSWERSyour confidence interval (range) becomes wider
What does the symbol 1 - α represent? - ANSWERSThe confidence level expressed as a decimal
The Margin of Error is - ANSWERSthe critical value times the standard error
Out of the following, which quantity does the Margin of Error NOT depend on? - ANSWERSthe sample
mean
All else being the same, as the sample size n increases, what happens to the margin of error? -
ANSWERSIt decreases
If we change the confidence level to 98% while keeping all else constant, what happens to the
confidence interval? - ANSWERSgets wider
If we want to retain a confidence level of 95% but get a narrower, more precise confidence interval, what
can we do? - ANSWERSincrease sample size
2024/2025
Numbers that summarize data from an entire population are called - ANSWERSparameters
Sampling error is defined to be the - ANSWERSpositive difference between a sample statistic and the
corresponding population parameter
The symbol x¯ represents the - ANSWERSsample mean
If we take many samples from a population and calculate the sample means, all of the sample means will
always be the same. - ANSWERSFalse
x¯ is the point estimator for - ANSWERSμ
A sampling distribution for a sample mean is - ANSWERSthe distribution of sample means from all
possible samples of a certain size
The sampling distribution is the same as the population distribution. - ANSWERSFalse
The Standard Error of the Mean is - ANSWERSthe standard deviation of a sampling distribution of sample
means
The symbol use to represent the mean of the sampling distribution is - ANSWERSμx¯
According to the Central Limit Theorem, the mean of the sampling distribution of sample means -
ANSWERSis exactly the same as the population mean
The Standard Error of the Mean is given by - ANSWERS
, As the sample size increases, the standard error of the mean - ANSWERSdecreases
Consider a population that is negatively skewed. If we take all samples of size 47 from this population,
the sampling distribution of sample means - ANSWERSwill be normally distributed
Suppose that a population is normally distributed. If all samples of size 5 are taken from this population,
what can we say about the sampling distribution of sample means? - ANSWERSit will be normally
distributed
What is the goal of interval estimation? - ANSWERSto estimate an unknown population parameter
What are Confidence Intervals? - ANSWERSConfidence Intervals provide a range of values to estimate a
population parameter
If you want to be more confident - ANSWERSyour confidence interval (range) becomes wider
What does the symbol 1 - α represent? - ANSWERSThe confidence level expressed as a decimal
The Margin of Error is - ANSWERSthe critical value times the standard error
Out of the following, which quantity does the Margin of Error NOT depend on? - ANSWERSthe sample
mean
All else being the same, as the sample size n increases, what happens to the margin of error? -
ANSWERSIt decreases
If we change the confidence level to 98% while keeping all else constant, what happens to the
confidence interval? - ANSWERSgets wider
If we want to retain a confidence level of 95% but get a narrower, more precise confidence interval, what
can we do? - ANSWERSincrease sample size
