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The manager of an automobile dealership wants to determine whether a new bonus plan
will help increase sales. Currently, the mean sales rate per salesperson is five
automobiles per month. The appropriate set of hypotheses for testing the effect of the
bonus plan is _____. - ANSWER H0: μ ≤ 5 vs Ha: μ > 5
If a hypothesis is not rejected at a 5% level of significance, it will _____. - ANSWER also
not be rejected at the 1% level
If all the points of a scatter diagram lie on the least squares regression line, then the
coefficient of determination for these variables based on these data _____. - ANSWER is 1
In a simple regression analysis, where y is a dependent and x an independent variable, if
the y-intercept is positive then it must be true that _____. - ANSWER None of the answers
is correct
If a data set has SST = 2,000 and SSE = 800 then the coefficient of determination is _____.
- ANSWER.6
regression analysis between demand (y in 1000 units) and price (x in dollars) resulted in
the following equation:
y^= 9 − 3x
The above equation implies that if the price is increased by $1, the demand is expected to
_____. - ANSWER decrease by 3,000 units
,Larger values of r2 imply that the observations are more closely grouped about the _____
- ANSWER least squares line
Which of the following does NOT need to be known in order to compute the p-value? -
ANSWER the level of significance
When an analysis of variance is performed on samples drawn from k populations, the
mean square between treatments (MSTR) is ____ - ANSWER SSTR/(k - 1)
The F ratio in a completely randomized ANOVA is the ratio of _____ - ANSWER MSTR/MSE
Which one of the following is NOT true for simple linear regression analysis?
- ANSWER The F test and the t test may or may not have the same outcomes.
As the goodness of fit for the estimated regression equation increases, the _____. -
ANSWER value of the coefficient of determination increases
Which of the following hypotheses is not a valid null hypothesis? - ANSWER H0: µ < 0
A Type II error is committed when _____. - ANSWER a true alternative hypothesis is
mistakenly rejected
*
The measure of the relation between two variables' strength is the _____ - ANSWER
correlation coefficient
,If all the points of a scatter diagram lie on the least squares regression line, then the
coefficient of determination for these variables based on these data _____. - ANSWER is 1
in a regression analysis, if r2 = 1, then _____. - ANSWER SSR = SST
An ANOVA procedure is for data that were obtained from four sample groups each
comprised of five observations. The degrees of freedom for the critical value of F are
_____. - ANSWER 3 AND 16
The requisite condition for using an ANOVA procedure on data from several populations
is that the _____. - ANSWER sampled populations have equal variances
Larger values of r2 imply that the observations are more closely grouped about the
_____. - ANSWER LEAST SQUARES LINE
In simple linear regression analysis, which of the following is NOT true? - ANSWER The F
test and the t test may or may not yield the same results
If there is a very strong correlation between two variables, then the coefficient of
correlation must be _____. - ANSWER None of the answers is correct.
SSE can never be _____. - ANSWER larger than SST
Application of the least squares method results in values of the y-intercept and the slope
that minimizes the sum of the squared deviations between the _____. - ANSWER
observed values of the dependent variable and the predicted values of the dependent
variable
In hypothesis testing, if the null hypothesis has been rejected when the alternative
hypothesis has been true, _____. - ANSWER the correct decision has been made
, More evidence against H0 is indicated by ____ - ANSWER smaller P-Values
The sampling distribution of P BAR1 - P BAR2 is approximated by a _____. - ANSWER
NORMAL DISTRIBUTION
If the coefficient of correlation is a negative value, then the coefficient of determination
____ - ANSWER must be positive
The smaller the p-value, the _____. - ANSWER greater the evidence against H0
In simple linear regression, r2 is the _____. - ANSWER coefficient of determination
Which of the following is correct? - ANSWER SST = SSR + SSE
If the coefficient of correlation is a positive value, then the slope of the regression line
_____. - ANSWER must also be positive
When the p-value is used for hypothesis testing, the null hypothesis is rejected if _____. -
ANSWER p-value α
The standard error of XBAR1 - XBAR2 is the _____. - ANSWER standard deviation of the
sampling distribution of
In the analysis of variance procedure (ANOVA), factor refers to _____ - ANSWER the
independent variable