In: Statistics and Probability
Question 10 (1 point)
You are looking for a way to incentivize the sales reps that...
Question 10 (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 t-test with the following hypotheses: Null
Hypothesis: μD ≤ 0, Alternative Hypothesis:
μD > 0. You calculate a p-value of 0.3076. What is
the appropriate conclusion of your test?
Question 10 options:
|
1)
|
The average difference in weekly income is significantly larger
than 0. The average weekly income was higher after the incentive
plan. |
|
|
2)
|
The average difference in weekly income is less than or equal
to 0. |
|
|
3)
|
We did not find enough evidence to say there was a
significantly positive average difference in weekly income. The
incentive plan does not appear to have been effective. |
|
|
4)
|
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. |
|
|
5)
|
We did not find enough evidence to say the average difference
in weekly income was not 0. The incentive plan does not appear to
have been effective. |
|
Question 11 (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 t-test with the following hypotheses: Null
Hypothesis: μD ≤ 0, Alternative Hypothesis:
μD > 0. You calculate a p-value of 0.0474. What is
the appropriate conclusion of your test?
Question 11 options:
|
1)
|
We did not find enough evidence to say there was a
significantly positive average difference in weekly income. The
incentive plan does not appear to have been effective. |
|
|
2)
|
The average difference in weekly income is significantly larger
than 0. The average weekly income was higher after the incentive
plan. |
|
|
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 less
than 0. The average weekly income was higher before the incentive
plan. |
|
|
5)
|
The average difference in weekly income is less than or equal
to 0. |
|
Question 12 (1 point)
Consumers Energy states that the average electric bill across
the state is $62.74. You want to test the claim that the average
bill amount is actually less than $62.74. The hypotheses for this
situation are as follows: Null Hypothesis: μ ≥ 62.74, Alternative
Hypothesis: μ < 62.74. If the true statewide average bill is
$51.97 and the null hypothesis is not rejected, did a type I, type
II, or no error occur?
Question 12 options:
|
1)
|
We do not know the degrees of freedom, so we cannot determine
if an error has occurred. |
|
|
2)
|
Type I Error has occurred |
|
|
3)
|
We do not know the p-value, so we cannot determine if an error
has occurred. |
|
|
4)
|
No error has occurred. |
|
|
5)
|
Type II Error has occurred. |
|
Question 13 (1 point)
Consumers Energy states that the average electric bill across
the state is $57.42. You want to test the claim that the average
bill amount is actually greater than $57.42. The hypotheses for
this situation are as follows: Null Hypothesis: μ ≤ 57.42,
Alternative Hypothesis: μ > 57.42. If the true statewide average
bill is $24.71 and the null hypothesis is rejected, did a type I,
type II, or no error occur?
Question 13 options:
|
1)
|
Type II Error has occurred |
|
|
2)
|
No error has occurred. |
|
|
3)
|
We do not know the degrees of freedom, so we cannot determine
if an error has occurred. |
|
|
4)
|
We do not know the p-value, so we cannot determine if an error
has occurred. |
|
|
5)
|
Type I Error has occurred. |
|