The marketing department of a company has designed four different boxes (treatments, A) for its product. It wants to det
Posted: Wed May 11, 2022 12:43 pm
The marketing department of a company has designed four
different boxes (treatments, A) for its product. It wants to
determine which box will produce the largest amount of sales. Each
box will be test marketed in six different stores (blocks, B) for a
period of a month. The following information may be useful to
answer the next questions (use a level of significance equal to
0.05),
SSA(Boxes)
= 14,667.20 SSB(Stores)
= 711.07 SSE
= 2,022.14
The sample mean for boxes 1, 2, 3, and 4 are $1350,
$1290, $1325, and $1300 respectively
I. State the null hypothesis for this test. The
letter associated with the correct answer is
a)
b)
c)
d)
e) None of the above
II. Compute the critical and estimate value when testing for the
significant effects due to the four different boxes. The
letter associated with the correct answer is
a) 3.26 and 48.79 respectively
b) 3.29 and 36.27 respectively
c) 4.10 and 14.60 respectively
d) 4.46 and 48.79 respectively
e) None of the above
III. The decision and the implication are. The letter
associated with the correct answer is
a) Reject the null hypothesis, at least one mean (out of four)
is different.
b) Reject the null hypothesis, , there is not a significant
difference among the four different means.
c) Reject the null hypothesis, there is not a significant
difference among the six different means.
d) Reject the null hypothesis, at least one (out of six) mean is
different.
e) None of the above
IV. Which of the four designed boxes will produce the largest
amount of sales, if any? The letter associated with the
correct answer is
a) Box 1
b) Box 3
c) Box 4
d) It doesn’t matter because there is not a significant
difference among the boxes
e) None of the above
different boxes (treatments, A) for its product. It wants to
determine which box will produce the largest amount of sales. Each
box will be test marketed in six different stores (blocks, B) for a
period of a month. The following information may be useful to
answer the next questions (use a level of significance equal to
0.05),
SSA(Boxes)
= 14,667.20 SSB(Stores)
= 711.07 SSE
= 2,022.14
The sample mean for boxes 1, 2, 3, and 4 are $1350,
$1290, $1325, and $1300 respectively
I. State the null hypothesis for this test. The
letter associated with the correct answer is
a)
b)
c)
d)
e) None of the above
II. Compute the critical and estimate value when testing for the
significant effects due to the four different boxes. The
letter associated with the correct answer is
a) 3.26 and 48.79 respectively
b) 3.29 and 36.27 respectively
c) 4.10 and 14.60 respectively
d) 4.46 and 48.79 respectively
e) None of the above
III. The decision and the implication are. The letter
associated with the correct answer is
a) Reject the null hypothesis, at least one mean (out of four)
is different.
b) Reject the null hypothesis, , there is not a significant
difference among the four different means.
c) Reject the null hypothesis, there is not a significant
difference among the six different means.
d) Reject the null hypothesis, at least one (out of six) mean is
different.
e) None of the above
IV. Which of the four designed boxes will produce the largest
amount of sales, if any? The letter associated with the
correct answer is
a) Box 1
b) Box 3
c) Box 4
d) It doesn’t matter because there is not a significant
difference among the boxes
e) None of the above