6. Researchers at a food company are interested in how a new spaghetti sauce mad
ID: 3237662 • Letter: 6
Question
6. Researchers at a food company are interested in how a new spaghetti sauce made from green tomatoes (and green in color) will compare to their traditional red spaghetti sauce. They are worried that the green color will adversely affect the tastiness scores. They randomly assign subjects to either the green or red sauce condition. Participants indicate the tastiness of the sauce on a 10-point scale. Tastiness scores tend to be skewed.
Red Sauce Green sauce
7 4
6 5
9 6
10 8
6 7
7 6
8 9
a. What statistical test should be used to analyze these data?
b. Identify H and H for this study.
c. Conduct the appropriate analysis.
d. Should H be rejected? What should the researcher conclude?
Explanation / Answer
Result:
6. Researchers at a food company are interested in how a new spaghetti sauce made from green tomatoes (and green in color) will compare to their traditional red spaghetti sauce. They are worried that the green color will adversely affect the tastiness scores. They randomly assign subjects to either the green or red sauce condition. Participants indicate the tastiness of the sauce on a 10-point scale. Tastiness scores tend to be skewed.
Red Sauce Green sauce
7 4
6 5
9 6
10 8
6 7
7 6
8 9
a. What statistical test should be used to analyze these data?
Since data are skewed, we apply Mann/Whitney Test.
b. Identify H and H for this study.
H0: there is no difference in Tastiness scores of the two sauce
H1: there is difference in Tastiness scores of the two sauce
c. Conduct the appropriate analysis.
Wilcoxon - Mann/Whitney Test
n
sum of ranks
7
62
Red
7
43
Green
14
105
total
52.500
expected value
7.826
standard deviation
1.214
z
.2248
p-value (two-tailed)
No.
Label
Data
Rank
1
Red
7
8
2
Red
6
4.5
3
Red
9
12.5
4
Red
10
14
5
Red
6
4.5
6
Red
7
8
7
Red
8
10.5
8
Green
4
1
9
Green
5
2
10
Green
6
4.5
11
Green
8
10.5
12
Green
7
8
13
Green
6
4.5
14
Green
9
12.5
d. Should H be rejected? What should the researcher conclude?
Since z=1.214 < 1.96 the critical value, Ho is not rejected.
There is no evidence to conclude that the green color will adversely affect the tastiness scores.
Wilcoxon - Mann/Whitney Test
n
sum of ranks
7
62
Red
7
43
Green
14
105
total
52.500
expected value
7.826
standard deviation
1.214
z
.2248
p-value (two-tailed)
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