QUANTITATIVE ANALYSIS FOR BUSINESS
2026 ACTUAL EXAM SCRIPT TESTED
QUESTIONS WITH COMPLETE SOLUTIONS
GRADED A+
◉ null hypothesis (H0). Answer: -represents the status quo
-states a belief that the population parameter is ≤, =, or ≥ a specific
value
-believed to be true unless there is overwhelming evidence to the
contrary
◉ alternative hypothesis (H1). Answer: -represents the opposite of
the null hypothesis
-believed to be true if the null hypothesis is found to be false
-always states that the population parameter is >, ≠, or < a specific
value
◉ two-tail hypothesis test. Answer: is used whenever the alternative
hypothesis is expressed as ≠
,◉ one-tail hypothesis test. Answer: is used when the alternative
hypothesis is stated as < or >
◉ Type I error. Answer: -occurs when the null hypothesis is rejected
when it is true
-when it occurs the producer is looking for a problem in its process
that does not exist
◉ Type II error. Answer: -occurs when we fail to reject the null
hypothesis when it is not true
-when it occurs the customer is getting a product from a process
that is not performing properly
◉ Correlation analysis. Answer: -is used to measure both the
strength and direction of a linear relationship between two variables
-A relationship is linear if the scatter plot of the independent and
dependent variables has a straight-line pattern
◉ correlation coefficient, r. Answer: -indicates both the strength and
direction of the linear relationship between the independent and
dependent variables
◉ population correlation coefficient (ρ). Answer: refers to the
correlation between all values of two variables of interest in a
population
, ◉ confidence interval for the mean. Answer: is an interval estimate
around a sample mean that provides us with a range within which
the true population mean is expected to lie
◉ confidence level. Answer: is defined as the probability that the
interval estimate will include the population parameter of interest
◉ Student's t-distribution. Answer: is used in place of the normal
probability distribution when the sample standard deviation, s, is
used in place of the population standard deviation, σ
◉ probability sample. Answer: is a sample in which each member of
the population has a known, nonzero, chance of being selected for
the sample
◉ simple random sample. Answer: is a sample in which every
member of the population has an equal chance of being chosen
◉ Sampling error. Answer: is defined as the difference between the
sample statistic and the population parameter
◉ Central Limit Theorem. Answer: states that the sample means of
large-sized samples will be normally distributed regardless of the
shape of their population distributions
2026 ACTUAL EXAM SCRIPT TESTED
QUESTIONS WITH COMPLETE SOLUTIONS
GRADED A+
◉ null hypothesis (H0). Answer: -represents the status quo
-states a belief that the population parameter is ≤, =, or ≥ a specific
value
-believed to be true unless there is overwhelming evidence to the
contrary
◉ alternative hypothesis (H1). Answer: -represents the opposite of
the null hypothesis
-believed to be true if the null hypothesis is found to be false
-always states that the population parameter is >, ≠, or < a specific
value
◉ two-tail hypothesis test. Answer: is used whenever the alternative
hypothesis is expressed as ≠
,◉ one-tail hypothesis test. Answer: is used when the alternative
hypothesis is stated as < or >
◉ Type I error. Answer: -occurs when the null hypothesis is rejected
when it is true
-when it occurs the producer is looking for a problem in its process
that does not exist
◉ Type II error. Answer: -occurs when we fail to reject the null
hypothesis when it is not true
-when it occurs the customer is getting a product from a process
that is not performing properly
◉ Correlation analysis. Answer: -is used to measure both the
strength and direction of a linear relationship between two variables
-A relationship is linear if the scatter plot of the independent and
dependent variables has a straight-line pattern
◉ correlation coefficient, r. Answer: -indicates both the strength and
direction of the linear relationship between the independent and
dependent variables
◉ population correlation coefficient (ρ). Answer: refers to the
correlation between all values of two variables of interest in a
population
, ◉ confidence interval for the mean. Answer: is an interval estimate
around a sample mean that provides us with a range within which
the true population mean is expected to lie
◉ confidence level. Answer: is defined as the probability that the
interval estimate will include the population parameter of interest
◉ Student's t-distribution. Answer: is used in place of the normal
probability distribution when the sample standard deviation, s, is
used in place of the population standard deviation, σ
◉ probability sample. Answer: is a sample in which each member of
the population has a known, nonzero, chance of being selected for
the sample
◉ simple random sample. Answer: is a sample in which every
member of the population has an equal chance of being chosen
◉ Sampling error. Answer: is defined as the difference between the
sample statistic and the population parameter
◉ Central Limit Theorem. Answer: states that the sample means of
large-sized samples will be normally distributed regardless of the
shape of their population distributions
