,MATH 110 Module 6 | Practice Q&A | 2026/2027 | Statistics | Portage
Learning | 100% PASS
1. The process of using a sample to make decisions and draw conclusions
about a population is called:
A) Descriptive statistics
B) Inferential statistics
C) Data collection
D) Data organization
Correct Answer: Inferential statistics
Rationale: Inferential statistics is the use of a sample to make decisions and
draw conclusions about a population. Descriptive statistics summarizes data
without making inferences.
2. The entire group of items of interest in a study is called the:
A) Sample
B) Population
C) Data set
D) Variable
Correct Answer: Population
Rationale: The population is the entire group of items of interest in a study. A
sample is a smaller representative subset of the population.
3. A smaller representative group selected from the population is called a:
A) Population
,B) Sample
C) Parameter
D) Statistic
Correct Answer: Sample
Rationale: A sample is a smaller representative group selected from the
population. Researchers use samples to make inferences about the larger
population.
4. The Central Limit Theorem states that for a sufficiently large sample size,
the sampling distribution of the sample mean will be approximately normal
regardless of:
A) The sample size
B) The population standard deviation
C) The shape of the population distribution
D) The sample mean
Correct Answer: The shape of the population distribution
Rationale: The Central Limit Theorem states that the sampling distribution of
x̄ becomes approximately normal as sample size increases, regardless of the
shape of the population distribution, provided the sample size is sufficiently
large (typically n ≥ 30).
5. For the Central Limit Theorem to apply, the sample size should generally
be:
A) n ≥ 15
B) n ≥ 20
, C) n ≥ 30
D) n ≥ 50
Correct Answer: n ≥ 30
Rationale: The Central Limit Theorem typically requires a sample size of at
least 30 for the sampling distribution of the sample mean to be
approximately normal, regardless of the population distribution.
6. The standard error of the mean is calculated as:
A) σ / n
B) σ / √n
C) s / n
D) √(σ/n)
Correct Answer: σ / √n
Rationale: The standard error of the mean (σ_x̄ ) is the standard deviation of
the sampling distribution of x̄ , calculated as σ / √n, where σ is the population
standard deviation and n is the sample size.
7. The standard error of the proportion is calculated as:
A) √[p(1-p)/n]
B) p(1-p)/n
C) √[p(1-p)]
D) p/n
Correct Answer: √[p(1-p)/n]
Learning | 100% PASS
1. The process of using a sample to make decisions and draw conclusions
about a population is called:
A) Descriptive statistics
B) Inferential statistics
C) Data collection
D) Data organization
Correct Answer: Inferential statistics
Rationale: Inferential statistics is the use of a sample to make decisions and
draw conclusions about a population. Descriptive statistics summarizes data
without making inferences.
2. The entire group of items of interest in a study is called the:
A) Sample
B) Population
C) Data set
D) Variable
Correct Answer: Population
Rationale: The population is the entire group of items of interest in a study. A
sample is a smaller representative subset of the population.
3. A smaller representative group selected from the population is called a:
A) Population
,B) Sample
C) Parameter
D) Statistic
Correct Answer: Sample
Rationale: A sample is a smaller representative group selected from the
population. Researchers use samples to make inferences about the larger
population.
4. The Central Limit Theorem states that for a sufficiently large sample size,
the sampling distribution of the sample mean will be approximately normal
regardless of:
A) The sample size
B) The population standard deviation
C) The shape of the population distribution
D) The sample mean
Correct Answer: The shape of the population distribution
Rationale: The Central Limit Theorem states that the sampling distribution of
x̄ becomes approximately normal as sample size increases, regardless of the
shape of the population distribution, provided the sample size is sufficiently
large (typically n ≥ 30).
5. For the Central Limit Theorem to apply, the sample size should generally
be:
A) n ≥ 15
B) n ≥ 20
, C) n ≥ 30
D) n ≥ 50
Correct Answer: n ≥ 30
Rationale: The Central Limit Theorem typically requires a sample size of at
least 30 for the sampling distribution of the sample mean to be
approximately normal, regardless of the population distribution.
6. The standard error of the mean is calculated as:
A) σ / n
B) σ / √n
C) s / n
D) √(σ/n)
Correct Answer: σ / √n
Rationale: The standard error of the mean (σ_x̄ ) is the standard deviation of
the sampling distribution of x̄ , calculated as σ / √n, where σ is the population
standard deviation and n is the sample size.
7. The standard error of the proportion is calculated as:
A) √[p(1-p)/n]
B) p(1-p)/n
C) √[p(1-p)]
D) p/n
Correct Answer: √[p(1-p)/n]
