It is believed that students who begin studying for final exams
a week before the test score differently than students who wait
until the night before. Suppose you want to test the hypothesis
that students who study one week before score greater than students
who study the night before. A hypothesis test for two independent
samples is run based on your data and a pvalue is calculated to be
0.0053. What is the appropriate conclusion?
Question 9 options:

1)

The average score of students who study one week before a test
is significantly different from the average score of students who
wait to study until the night before a test. 


2)

The average score of students who study one week before a test
is significantly less than the average score of students who wait
to study until the night before a test. 


3)

The average score of students who study one week before a test
is less than or equal to the average score of students who wait to
study until the night before a test. 


4)

We did not find enough evidence to say the average score of
students who study one week before a test is greater than the
average score of students who wait to study until the night before
a test. 


5)

The average score of students who study one week before a test
is significantly greater than the average score of students who
wait to study until the night before a test. 

You are looking for a way to incentivize the sales reps that you
are in charge of. You design an incentive plan as a way to help
increase in their sales. To evaluate this innovative plan, you take
a random sample of your reps, and their weekly incomes before and
after the plan were recorded. You calculate the difference in
income as (after incentive plan  before incentive plan). You want
to test whether income after the incentive plan is less than income
before the incentive plan. What are the hypotheses for this
test?
Question 10 options:

1)

H_{O}: μ_{D} = 0
H_{A}: μ_{D} ≠ 0 


2)

H_{O}: μ_{D} > 0
H_{A}: μ_{D} ≤ 0 


3)

H_{O}: μ_{D} ≥ 0
H_{A}: μ_{D} < 0 


4)

H_{O}: μ_{D} ≤ 0
H_{A}: μ_{D} > 0 


5)

H_{O}: μ_{D} < 0
H_{A}: μ_{D} ≥ 0 

A comparison between a major sporting goods chain and a
specialty runners' store was done to find who had lower prices on
running shoes. A sample of 37 different shoes was priced (in
dollars) at both stores. To test whether the average difference is
less than zero, the hypotheses are as follows: Null Hypothesis:
μ_{D} ≥ 0, Alternative Hypothesis: μ_{D} < 0. If
the average difference between the two stores (specialty  chain)
is 1.71 with a standard deviation of 6.39, what is the test
statistic and pvalue?
Question 11 options:

1)

Test Statistic: 1.628, PValue: 0.056 


2)

Test Statistic: 1.628, PValue: 0.944 


3)

Test Statistic: 1.628, PValue: 0.944 


4)

Test Statistic: 1.628, PValue: 0.056 


5)

Test Statistic: 1.628, PValue: 1.888 
