Statistics Final Exam (Based on Elementary
Statistics, 2025/2026 Latest Release:
Guaranteed Success to Pass on Your First
Attempt and Avoid Resits
ANSWER//stratified Determine what type of
observational study is described. Explain.
Researchers wanted to determine whether there
was an association between high blood pressure
and the suppression of emotions. The researchers
looked at 1800 adults enrolled in a Health Initiative
Observational Study. Each person was interviewed
and asked about their response to emotions. In
particular they were asked whether their tendency
was to express or to hold in anger and other
emotions. The degree of suppression of emotions
was rated on a scale of 1 to 10. Each person's
blood pressure was also measured. The
researchers analyzed the results to determine
whether there was an association between high
blood pressure and the suppression of emotions. -
ANSWER//cross-sectional; Information is collected
at a specific point in time. Provide an appropriate
response. Multiple choice questions on a test that
include as one of the choices "none of the above"
are an example of what type of question? -
ANSWER//closed question Classify the variable as
qualitative or quantitative. the number of calls
received at a company's help desk -
ANSWER//quantitative Provide an appropriate
response. The following data are the yields, in
,bushels, of hay from a farmer's last 10 years: 375,
210, 150, 147, 429, 189, 320, 580, 407, 180. Find
the IQR. - ANSWER//227 Provide an appropriate
response. Over the last 10 years four mutual funds
all had the same mean rate of return, 12%. These
mutual funds had different standard deviations as
follows: Mutual Money 8%, Co-joined Investments
6%, Together Fund 4%, All for One Fund 9%.
Which mutual fund investment is the most
consistent in rate of return? - ANSWER//Together
Fund Provide an appropriate response. Last year
batting averages in professional baseball averaged
0.256 with a high of and a low of (minimum 250 at-
bats). Based on this information, which measure of
variation could be calculated? - ANSWER//range
Provide an appropriate response. Given the
following five-number summary, find the IQR. 2.9,
5.7, 10.0, 13.2, 21.1. - ANSWER//7.5 Which
measure of central tendency may not exist for all
numeric data sets? - ANSWER//mode Provide an
appropriate response. Civil engineers often use the
straight-line equation, E(y) = β0 + β1x, to model the
relationship between the mean shear strength E(y)
of masonry joints and precompression stress, x. To
test this theory, a series of stress tests were
performed on solid bricks arranged in triplets and
joined with mortar. The precompression stress was
varied for each triplet and the ultimate shear load
just before failure (called the shear strength) was
recorded. The stress results for n = 7 triplet tests is
shown in the accompanying table followed by a
SAS printout of the regression analysis. For this
data set, R2 = .9052. Give a practical interpretation
,of R2, the coefficient of determination for the least
squares model. Express R2 to the nearest whole
percent. - ANSWER//About 91% of the total
variation in the sample of y-values can be explained
by (or attributed to) the linear relationship between
shear strength and precompression stress. A traffic
officer is compiling information about the
relationship between the hour or the day and the
speed over the limit at which the motorist is ticketed.
He computes a correlation coefficient of 0.12. What
does this tell the officer? - ANSWER//There is a
weak positive linear correlation. If the coefficient of
determination is close to 1, then - ANSWER//the
least squares regression line equation explains
most of the variation in the response variable. A
variable that is related to either the response
variable or the predictor variable or both, but which
is excluded from the analysis is a -
ANSWER//lurking variable The coefficient of
determination is the __________ of the linear
correlation coefficient. - ANSWER//square Provide
an appropriate response. Civil engineers often use
the straight-line equation, E(y) = β0 + β1x, to model
the relationship between the mean shear strength
E(y) of masonry joints and precompression stress, x.
To test this theory, a series of stress tests were
performed on solid bricks arranged in triplets and
joined with mortar. The precompression stress was
varied for each triplet and the ultimate shear load
just before failure (called the shear strength) was
recorded. The stress results for n = 7 triplet tests is
shown in the accompanying table followed by a
SAS printout of the regression analysis. For this
, data set, R2 = .9052. Give a practical interpretation
of R2, the coefficient of determination for the least
squares model. Express R2 to the nearest whole
percent. - ANSWER//About 91% of the total
variation in the sample of y-values can be explained
by (or attributed to) the linear relationship between
shear strength and precompression stress. Each
year a nationally recognized publication conducts its
"Survey of America's Best Graduate and
Professional Schools." An academic advisor wants
to predict the typical starting salary of a graduate at
a top business school using GMAT score of the
school as a predictor variable. Total GMAT scores
range from 200 to 800. A simple linear regression of
SALARY versus GMAT using 25 data points yields
the regression equation given below: y = 228x -
92,040 Give an interpretation of the y-intercept. -
ANSWER//The value has no practical interpretation
since a GMAT of 0 is nonsensical and outside the
range of the sample data. Find the indicated
probability. If necessary, round to three decimal
places. Suppose that E and F are two events and
that N(E and F) = 450 and N(E) = 870. What is P(E)?
- ANSWER//0.517 In a contest in which 7
contestants are entered, in how many ways can the
4 distinct prizes be awarded? - ANSWER//840
Solve the problem. In the game of craps two dice
are rolled and the up faces are totaled. If the person
rolling the dice on the first roll rolls a 7 or an 11 total
they win. If they roll a 2, 3, or 12 on the first roll they
lose. If they roll any other total then on subsequent
rolls they must roll that total before rolling a 7 to win.
What is the probability of winning on the first roll? -