QBA FINAL PAPER 2025/2026 QUESTIONS AND SOLUTION
RATED A+
✔✔False - ✔✔After rejecting the null hypothesis of equal treatments, a researcher
decided to compute a 95 percent confidence interval for the difference between the
mean of treatment 1 and mean of treatment 2 based on the Tukey procedure. At α =
.05, if the confidence interval includes the value of zero, then we can reject the
hypothesis that the two population means are equal.
✔✔False - ✔✔In one-way ANOVA, as the between-treatment variation decreases, the
probability of rejecting the null hypothesis increases.
✔✔False - ✔✔When using simple regression analysis, if there is a strong correlation
between the independent and dependent variables, then we can conclude that an
increase in the value of the independent variable causes an increase in the value of the
dependent variable.
✔✔False - ✔✔The simple moving average method is primarily useful in determining the
impact of trend on a time series.
✔✔a*b - ✔✔In a 2-way ANOVA, if factor 1 has a levels and factor 2 has b levels, then
there are a total of ________ treatments.
✔✔Equality of the population means - ✔✔Which one of the following is not an
assumption of one-way analysis of variance?
✔✔SSTO-SS(Error) - ✔✔In the one-way ANOVA, the treatment sum of squares equals
✔✔SSTO-SS(Block)-SSE - ✔✔In the randomized block ANOVA, the sum of squares for
treatment equals
✔✔-1 and 1 - ✔✔The range for r2 is between 0 and 1, and the range for r is between
________.
✔✔0 - ✔✔In a simple linear regression model, the intercept term is the mean value of y
when x equals ________.
✔✔Seasonal - ✔✔Those fluctuations that are associated with climate, holidays, and
related activities are referred to as ________ variations.
✔✔Variance of zero - ✔✔Which one of the following is not an assumption about the
residuals in a regression model?
, ✔✔Tukey - ✔✔________ simultaneous confidence intervals test all of the pairwise
differences between means, respectively, while controlling the overall Type I error.
✔✔Variability among the groups decreases relative to the variability within the groups -
✔✔When using a completely randomized design (one-way analysis of variance), the
calculated F statistic will decrease as
✔✔Horizontal band - ✔✔In regression analysis, a desirable residual plot has what type
of appearance?
✔✔X1 is significantly related to Y - ✔✔If we are testing the significance of the
independent variable X1 and we reject the null hypothesis H0: β1 = 0, we conclude that
✔✔Treatment sum of squares - ✔✔A sum of squares that measures the variability
among the sample means is referred to as the
✔✔Total sum of squares - ✔✔A sum of squares that measures the total amount of
variability in the observed values of the response variable is referred to as the
✔✔Experimentwise error rate - ✔✔When we compute 100(1 − α) confidence intervals,
the value of α is called the
✔✔Different - ✔✔The advantage of the randomized block design over the completely
randomized design is that we are comparing the treatments by using ________
experimental units.
✔✔Replication - ✔✔________ refers to applying a treatment to more than one
experimental unit.
✔✔Equal to a - ✔✔When computing confidence intervals using the Tukey procedure,
for all possible pairwise comparisons of means, the experimentwise error rate will be
✔✔Treatments - ✔✔Different levels of a factor are called ________.
✔✔Treatment, Error - ✔✔The F test for testing the difference between means is equal
to the ratio of Mean Square ________ over Mean Square ________.
✔✔Response - ✔✔The dependent variable, the variable of interest in an experiment, is
also called the ________ variable.
✔✔Experimental - ✔✔The ________ units are the entities (objects, people, etc.) to
which the treatments are assigned.
RATED A+
✔✔False - ✔✔After rejecting the null hypothesis of equal treatments, a researcher
decided to compute a 95 percent confidence interval for the difference between the
mean of treatment 1 and mean of treatment 2 based on the Tukey procedure. At α =
.05, if the confidence interval includes the value of zero, then we can reject the
hypothesis that the two population means are equal.
✔✔False - ✔✔In one-way ANOVA, as the between-treatment variation decreases, the
probability of rejecting the null hypothesis increases.
✔✔False - ✔✔When using simple regression analysis, if there is a strong correlation
between the independent and dependent variables, then we can conclude that an
increase in the value of the independent variable causes an increase in the value of the
dependent variable.
✔✔False - ✔✔The simple moving average method is primarily useful in determining the
impact of trend on a time series.
✔✔a*b - ✔✔In a 2-way ANOVA, if factor 1 has a levels and factor 2 has b levels, then
there are a total of ________ treatments.
✔✔Equality of the population means - ✔✔Which one of the following is not an
assumption of one-way analysis of variance?
✔✔SSTO-SS(Error) - ✔✔In the one-way ANOVA, the treatment sum of squares equals
✔✔SSTO-SS(Block)-SSE - ✔✔In the randomized block ANOVA, the sum of squares for
treatment equals
✔✔-1 and 1 - ✔✔The range for r2 is between 0 and 1, and the range for r is between
________.
✔✔0 - ✔✔In a simple linear regression model, the intercept term is the mean value of y
when x equals ________.
✔✔Seasonal - ✔✔Those fluctuations that are associated with climate, holidays, and
related activities are referred to as ________ variations.
✔✔Variance of zero - ✔✔Which one of the following is not an assumption about the
residuals in a regression model?
, ✔✔Tukey - ✔✔________ simultaneous confidence intervals test all of the pairwise
differences between means, respectively, while controlling the overall Type I error.
✔✔Variability among the groups decreases relative to the variability within the groups -
✔✔When using a completely randomized design (one-way analysis of variance), the
calculated F statistic will decrease as
✔✔Horizontal band - ✔✔In regression analysis, a desirable residual plot has what type
of appearance?
✔✔X1 is significantly related to Y - ✔✔If we are testing the significance of the
independent variable X1 and we reject the null hypothesis H0: β1 = 0, we conclude that
✔✔Treatment sum of squares - ✔✔A sum of squares that measures the variability
among the sample means is referred to as the
✔✔Total sum of squares - ✔✔A sum of squares that measures the total amount of
variability in the observed values of the response variable is referred to as the
✔✔Experimentwise error rate - ✔✔When we compute 100(1 − α) confidence intervals,
the value of α is called the
✔✔Different - ✔✔The advantage of the randomized block design over the completely
randomized design is that we are comparing the treatments by using ________
experimental units.
✔✔Replication - ✔✔________ refers to applying a treatment to more than one
experimental unit.
✔✔Equal to a - ✔✔When computing confidence intervals using the Tukey procedure,
for all possible pairwise comparisons of means, the experimentwise error rate will be
✔✔Treatments - ✔✔Different levels of a factor are called ________.
✔✔Treatment, Error - ✔✔The F test for testing the difference between means is equal
to the ratio of Mean Square ________ over Mean Square ________.
✔✔Response - ✔✔The dependent variable, the variable of interest in an experiment, is
also called the ________ variable.
✔✔Experimental - ✔✔The ________ units are the entities (objects, people, etc.) to
which the treatments are assigned.
