*****Please answer ALL Questions*****
Question 11 (1 point)
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 34 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 0.86 with a standard deviation of 8.61, what is the test
statistic and pvalue?
Question 11 options:

1)

Test Statistic: 0.582, PValue: 0.718 


2)

Test Statistic: 0.582, PValue: 1.436 


3)

Test Statistic: 0.582, PValue: 0.718 


4)

Test Statistic: 0.582, PValue: 0.282 


5)

Test Statistic: 0.582, PValue: 0.282 

Question 12 (1 point)
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
perform a paired samples ttest with the following hypotheses: Null
Hypothesis: μ_{D} ≥ 0, Alternative Hypothesis:
μ_{D}< 0. You calculate a pvalue of 0.0365. What is the
appropriate conclusion of your test?
Question 12 options:

1)

We did not find enough evidence to say there was a
significantly negative average difference in weekly income. The
incentive plan does not appear to have been effective. 


2)

The average difference in weekly income is greater than or
equal to 0. 


3)

The average difference in weekly income is significantly
different from 0. There is a significant difference in weekly
income due to the incentive plan. 


4)

The average difference in weekly income is significantly larger
than 0. The average weekly income was higher after the incentive
plan. 


5)

The average difference in weekly income is significantly less
than 0. The average weekly income was higher before the incentive
plan. 

Question 13 (1 point)
Consumers Energy states that the average electric bill across
the state is $46.83. You want to test the claim that the average
bill amount is actually less than $46.83. The hypotheses for this
situation are as follows: Null Hypothesis: μ ≥ 46.83, Alternative
Hypothesis: μ < 46.83. If the true statewide average bill is
$52.86 and the null hypothesis is not rejected, did a type I, type
II, or no error occur?
Question 13 options:

1)

Type I Error has occurred. 


2)

No error has occurred. 


3)

Type II Error has occurred 


4)

We do not know the pvalue, so we cannot determine if an error
has occurred. 


5)

We do not know the degrees of freedom, so we cannot determine
if an error has occurred. 

Question 14 (1 point)
A medical researcher wants to determine if the average hospital
stay of patients that undergo a certain procedure is less than 6.9
days. The hypotheses for this scenario are as follows: Null
Hypothesis: μ ≥ 6.9, Alternative Hypothesis: μ < 6.9. If the
actual mean is 9.5 days and the null hypothesis is rejected, did a
type I, type II, or no error occur?
Question 14 options:

1)

Type I Error has occurred. 


2)

We do not know the pvalue, so we cannot determine if an error
has occurred. 


3)

We do not know the degrees of freedom, so we cannot determine
if an error has occurred. 


4)

Type II Error has occurred 


5)

No error has occurred. 
