1|Page
MATH 110 M7 EXAM INTRODUCTION TO STATISTICS
2025 QUESTIONS AND ANSWERS/ MATH 110
MODULE 7 PROBLEM SET
A confidence interval estimate is constructed around -
...ANSWER...✓✓ the point estimate
In a sample of size 25, in order to compute any sample
statistic, how many sample values are free to vary? -
...ANSWER...✓✓ 24
The z-value that is used to construct a 95% confidence
interval is: - ...ANSWER...✓✓ 1.96
The z-value which is used to construct a 99% confidence
interval is: - ...ANSWER...✓✓ 2.58
A 95% confidence interval for the mean can be interpreted
to mean that: - ...ANSWER...✓✓ if all possible SAMPLES
are taken and confidence intervals are calculated, 95% of
those intervals would include the true POPULATION mean
somewhere in their interval.
,2|Page
In practice, the population mean is an unknown quantity
that is to be estimated. - ...ANSWER...✓✓ TRUE
It is possible to construct a 100% confidence interval
estimate for the population mean. - ...ANSWER...✓✓
FALSE
What are some properties of the student's t distribution? -
...ANSWER...✓✓ -It is symmetric.
-It's exact shape (i.e., spread) is characterized by the
degrees of freedom.
- As the sample size grows, it gradually approaches the
normal distribution.
Each of the following factors must be known in order to
determine the sample size for quantitative (numerical)
data - ...ANSWER...✓✓ -the acceptable sampling error
-the desired confidence level
-the population standard deviation
The type of reasoning involved in obtaining confidence
interval estimates is called - ...ANSWER...✓✓ inductive
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The value of alpha for a 98% confidence interval would be:
- ...ANSWER...✓✓ alpha = 0.02
When determining the sample size for a mean for a given
level of confidence and standard deviation, if the sampling
error (e) is allowed to increase, the sample size required:
- ...ANSWER...✓✓ will decrease.
The value of z selected for constructing a given
confidence interval is called the ________ value. -
...ANSWER...✓✓ critical
When estimating the population mean with a small
sample, the t distribution may be used with ______
degrees of freedom. - ...ANSWER...✓✓ n-1
One assumption underlying the use of the confidence
interval estimate for the proportion using the normal
distribution is that both "X," and "n-X" are greater than
five. - ...ANSWER...✓✓ TRUE
, 4|Page
The t-critical values used when computing confidence
intervals for the mean vary by degrees of freedom. -
...ANSWER...✓✓ TRUE
The Z-critical values used when computing confidence
intervals for the proportion vary by degrees of freedom. -
...ANSWER...✓✓ FALSE
The sample mean is a point estimate of the population
mean. - ...ANSWER...✓✓ TRUE
The confidence interval estimate of the population mean
is constructed around the sample mean. - ...ANSWER...✓✓
TRUE
The tails of the t distribution contain less area than the
tails of the normal distribution. - ...ANSWER...✓✓ FALSE
You may usually use the normal distribution to set up a
confidence interval estimate of the population proportion
if the sample size is "sufficiently" large. - ...ANSWER...✓✓
True
MATH 110 M7 EXAM INTRODUCTION TO STATISTICS
2025 QUESTIONS AND ANSWERS/ MATH 110
MODULE 7 PROBLEM SET
A confidence interval estimate is constructed around -
...ANSWER...✓✓ the point estimate
In a sample of size 25, in order to compute any sample
statistic, how many sample values are free to vary? -
...ANSWER...✓✓ 24
The z-value that is used to construct a 95% confidence
interval is: - ...ANSWER...✓✓ 1.96
The z-value which is used to construct a 99% confidence
interval is: - ...ANSWER...✓✓ 2.58
A 95% confidence interval for the mean can be interpreted
to mean that: - ...ANSWER...✓✓ if all possible SAMPLES
are taken and confidence intervals are calculated, 95% of
those intervals would include the true POPULATION mean
somewhere in their interval.
,2|Page
In practice, the population mean is an unknown quantity
that is to be estimated. - ...ANSWER...✓✓ TRUE
It is possible to construct a 100% confidence interval
estimate for the population mean. - ...ANSWER...✓✓
FALSE
What are some properties of the student's t distribution? -
...ANSWER...✓✓ -It is symmetric.
-It's exact shape (i.e., spread) is characterized by the
degrees of freedom.
- As the sample size grows, it gradually approaches the
normal distribution.
Each of the following factors must be known in order to
determine the sample size for quantitative (numerical)
data - ...ANSWER...✓✓ -the acceptable sampling error
-the desired confidence level
-the population standard deviation
The type of reasoning involved in obtaining confidence
interval estimates is called - ...ANSWER...✓✓ inductive
,3|Page
The value of alpha for a 98% confidence interval would be:
- ...ANSWER...✓✓ alpha = 0.02
When determining the sample size for a mean for a given
level of confidence and standard deviation, if the sampling
error (e) is allowed to increase, the sample size required:
- ...ANSWER...✓✓ will decrease.
The value of z selected for constructing a given
confidence interval is called the ________ value. -
...ANSWER...✓✓ critical
When estimating the population mean with a small
sample, the t distribution may be used with ______
degrees of freedom. - ...ANSWER...✓✓ n-1
One assumption underlying the use of the confidence
interval estimate for the proportion using the normal
distribution is that both "X," and "n-X" are greater than
five. - ...ANSWER...✓✓ TRUE
, 4|Page
The t-critical values used when computing confidence
intervals for the mean vary by degrees of freedom. -
...ANSWER...✓✓ TRUE
The Z-critical values used when computing confidence
intervals for the proportion vary by degrees of freedom. -
...ANSWER...✓✓ FALSE
The sample mean is a point estimate of the population
mean. - ...ANSWER...✓✓ TRUE
The confidence interval estimate of the population mean
is constructed around the sample mean. - ...ANSWER...✓✓
TRUE
The tails of the t distribution contain less area than the
tails of the normal distribution. - ...ANSWER...✓✓ FALSE
You may usually use the normal distribution to set up a
confidence interval estimate of the population proportion
if the sample size is "sufficiently" large. - ...ANSWER...✓✓
True
