MATH 110 MODULE 8 EXAM (LATEST-2026) |
MATH110 INTRODUCTION TO STATISTICS:
PORTAGE LEARNING
True or False: σ₁ and σ₂ represent the standard deviations for sample 1 and for
sample 2, respectively.
🔵
A) True
B) False
C) Only σ₁ represents a population standard deviation
D) None of the above
🟢 σ₁ and σ₂ are symbols used to represent the standard deviations of population 1
and population 2, respectively. Sample standard deviations are typically
represented using s₁ and s₂.
,Determine if the following statement is True or False.
Assume we are using a 90% confidence interval:
If the entire confidence interval is positive (it is never negative or zero), then we
can say that we are 90% confident that the mean for population 2 is greater than the
mean for population 1 (μ₂ > μ₁).
🔵
A) True
B) False
C) Cannot be determined
D) Only true for large samples
🟢 If the entire confidence interval is positive, then the difference between the
population means is positive. This means we are 90% confident that the mean for
population 1 is greater than the mean for population 2, not the other way around.
,A researcher wants to show the mean from population 1 is different from the mean
from population 2 in matched-pairs data. If the observations from sample 1 are Xᵢ
and the observations from sample 2 are Yᵢ, and dᵢ = Xᵢ − Yᵢ, then the null
hypothesis is H₀ = ____ and the alternative is H₁ = ______.
A) H₀: μd = 0 and H₁: μd < 0
🔵
B) H₀: μd = 0 and H₁: μd > 0
C) H₀: μd = 0 and H₁: μd ≠ 0
D) H₀: μd ≠ 0 and H₁: μd = 0
🟢 In matched-pairs hypothesis testing, the null hypothesis assumes there is no
mean difference between paired observations, so μd = 0. Since the researcher
wants to determine whether the means are different, a two-tailed alternative
hypothesis is used: μd ≠ 0.
3-30
Please clarify what “3-30” refers to:
● Questions 3 through 30 rewritten from screenshots?
● Generate new advanced questions numbered 3–30?
● Or something else?
, MATH 110 MODULE 8 EXAM (LATEST-2026) | MATH110
INTRODUCTION TO STATISTICS: PORTAGE LEARNING
The probability of an impossible event is:
🔵
A) 1
B) 0
C) 0.5
D) Undefined
🟢 An impossible event cannot occur, so its probability is always 0.
Which sampling method gives every member of the population an equal chance of
selection?
A) Convenience sampling
🔵
B) Cluster sampling
C) Simple random sampling
D) Voluntary response sampling
🟢 Simple random sampling ensures each individual in the population has the
same probability of being selected.
What is the shape of a distribution called if it has a longer tail on the right side?
🔵
A) Symmetric
B) Positively skewed
C) Negatively skewed
D) Uniform
MATH110 INTRODUCTION TO STATISTICS:
PORTAGE LEARNING
True or False: σ₁ and σ₂ represent the standard deviations for sample 1 and for
sample 2, respectively.
🔵
A) True
B) False
C) Only σ₁ represents a population standard deviation
D) None of the above
🟢 σ₁ and σ₂ are symbols used to represent the standard deviations of population 1
and population 2, respectively. Sample standard deviations are typically
represented using s₁ and s₂.
,Determine if the following statement is True or False.
Assume we are using a 90% confidence interval:
If the entire confidence interval is positive (it is never negative or zero), then we
can say that we are 90% confident that the mean for population 2 is greater than the
mean for population 1 (μ₂ > μ₁).
🔵
A) True
B) False
C) Cannot be determined
D) Only true for large samples
🟢 If the entire confidence interval is positive, then the difference between the
population means is positive. This means we are 90% confident that the mean for
population 1 is greater than the mean for population 2, not the other way around.
,A researcher wants to show the mean from population 1 is different from the mean
from population 2 in matched-pairs data. If the observations from sample 1 are Xᵢ
and the observations from sample 2 are Yᵢ, and dᵢ = Xᵢ − Yᵢ, then the null
hypothesis is H₀ = ____ and the alternative is H₁ = ______.
A) H₀: μd = 0 and H₁: μd < 0
🔵
B) H₀: μd = 0 and H₁: μd > 0
C) H₀: μd = 0 and H₁: μd ≠ 0
D) H₀: μd ≠ 0 and H₁: μd = 0
🟢 In matched-pairs hypothesis testing, the null hypothesis assumes there is no
mean difference between paired observations, so μd = 0. Since the researcher
wants to determine whether the means are different, a two-tailed alternative
hypothesis is used: μd ≠ 0.
3-30
Please clarify what “3-30” refers to:
● Questions 3 through 30 rewritten from screenshots?
● Generate new advanced questions numbered 3–30?
● Or something else?
, MATH 110 MODULE 8 EXAM (LATEST-2026) | MATH110
INTRODUCTION TO STATISTICS: PORTAGE LEARNING
The probability of an impossible event is:
🔵
A) 1
B) 0
C) 0.5
D) Undefined
🟢 An impossible event cannot occur, so its probability is always 0.
Which sampling method gives every member of the population an equal chance of
selection?
A) Convenience sampling
🔵
B) Cluster sampling
C) Simple random sampling
D) Voluntary response sampling
🟢 Simple random sampling ensures each individual in the population has the
same probability of being selected.
What is the shape of a distribution called if it has a longer tail on the right side?
🔵
A) Symmetric
B) Positively skewed
C) Negatively skewed
D) Uniform
