In: Statistics and Probability
Under specified driving conditions, an automobile manufacturer
is concerned about the miles per gallon (mpg) of its new crossover.
For automobiles of the same class, the average is 21 with a
standard deviation of 3.1 mpg. To investigate, the manufacturer
tested 18 of its new crossover in which the average was 20.3 mpg.
What can be concluded with α = 0.10?
a) What is the appropriate test statistic?
---Select---na, z-test, one-sample t-test, independent-samples
t-test, related-samples t-test
b)
Population:
---Select---specified conditions, tested crossovers, automobile
manufacturer, crossovers in same class, mpg
Sample:
---Select---specified conditions, tested crossovers, automobile
manufacturer, crossovers in same class, mpg
c) Obtain/compute the appropriate values to make a
decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses
to help solve the problem.)
critical value =_____ ; test statistic =________
Decision: ---Select---Reject H0 orFail to reject H0
d) If appropriate, compute the CI. If not
appropriate, input "na" for both spaces below.
[_____ ,______ ]
e) Compute the corresponding effect size(s) and
indicate magnitude(s).
If not appropriate, input and select "na" below.
d =_______ ; ---Select---na, trivial effect, small
effect, medium effect, large effect
r2 = ________; ---Select---na, trivial effect,
small effect, medium effect, large effect
f) Make an interpretation based on the
results.
Under the specified conditions, the new crossover gets significantly more mpg than other automobiles in its class. Under the specified conditions, the new crossover gets significantly less mpg than other automobiles in its class. Under the specified conditions, the new crossover does not get significantly different mpg than other automobiles in its class.