D582 MATH 1800
Intro to Statistics
Comprehensive Objective
Assessment Review
Q&S
2024
,1. Multiple Choice: Which of the following is a property of the Normal
Distribution?
a) Symmetry around the mean
b) Positive skewness
c) Uniform variance
d) All of the above
Correct Answer: a) Symmetry around the mean
Rationale: The Normal Distribution is characterized by its bell-shaped
curve which is symmetrical around the mean, meaning the left and right
sides of the curve are mirror images of each other.
2. True/False: The Central Limit Theorem states that the sampling
distribution of the sample means approaches a normal distribution as the
sample size gets larger, regardless of the shape of the population
distribution.
Answer: True
Rationale: The Central Limit Theorem is a fundamental theorem in
statistics that describes the characteristics of the sampling distribution of
the sample mean, particularly when the sample size is large.
3. Fill-in-the-Blank: In a hypothesis test, the _______ is a statement that
there is no effect or no difference, and it is the statement that the
researcher seeks to reject.
Correct Answer: Null Hypothesis
, Rationale: The null hypothesis (often denoted as H0) is a default
hypothesis that there is no relationship between two measured
phenomena or no association among groups.
4. Multiple Choice: In a t-test, what does the 't' statistic represent?
a) The difference between the sample mean and the population mean
b) The ratio of the variance to the mean
c) The ratio of the difference between the sample mean and the
population mean to the standard error of the mean
d) The total variance within the sample
Correct Answer: c) The ratio of the difference between the sample
mean and the population mean to the standard error of the mean
Rationale: The 't' statistic in a t-test measures how far the sample mean
is from the population mean in units of standard error and is used to
determine if the means of two sets of data are significantly different from
each other.
5. True/False: A p-value less than 0.05 is commonly used as the cutoff for
statistical significance.
Answer: True
Rationale: A p-value less than 0.05 typically indicates that there is less
than a 5% probability that the observed results occurred by chance,
hence the result is considered statistically significant.
Intro to Statistics
Comprehensive Objective
Assessment Review
Q&S
2024
,1. Multiple Choice: Which of the following is a property of the Normal
Distribution?
a) Symmetry around the mean
b) Positive skewness
c) Uniform variance
d) All of the above
Correct Answer: a) Symmetry around the mean
Rationale: The Normal Distribution is characterized by its bell-shaped
curve which is symmetrical around the mean, meaning the left and right
sides of the curve are mirror images of each other.
2. True/False: The Central Limit Theorem states that the sampling
distribution of the sample means approaches a normal distribution as the
sample size gets larger, regardless of the shape of the population
distribution.
Answer: True
Rationale: The Central Limit Theorem is a fundamental theorem in
statistics that describes the characteristics of the sampling distribution of
the sample mean, particularly when the sample size is large.
3. Fill-in-the-Blank: In a hypothesis test, the _______ is a statement that
there is no effect or no difference, and it is the statement that the
researcher seeks to reject.
Correct Answer: Null Hypothesis
, Rationale: The null hypothesis (often denoted as H0) is a default
hypothesis that there is no relationship between two measured
phenomena or no association among groups.
4. Multiple Choice: In a t-test, what does the 't' statistic represent?
a) The difference between the sample mean and the population mean
b) The ratio of the variance to the mean
c) The ratio of the difference between the sample mean and the
population mean to the standard error of the mean
d) The total variance within the sample
Correct Answer: c) The ratio of the difference between the sample
mean and the population mean to the standard error of the mean
Rationale: The 't' statistic in a t-test measures how far the sample mean
is from the population mean in units of standard error and is used to
determine if the means of two sets of data are significantly different from
each other.
5. True/False: A p-value less than 0.05 is commonly used as the cutoff for
statistical significance.
Answer: True
Rationale: A p-value less than 0.05 typically indicates that there is less
than a 5% probability that the observed results occurred by chance,
hence the result is considered statistically significant.
