QDES.A A study was undertaken to see how accurate food labeling for calories on food that is considered "reduced calorie". The group measured the amount of calories for each item of food and then found the percent difference between measured and labeled food. The group also looked at food that was nationally advertised, regionally distributed, or locally prepared. The data is in the following table ("Calories datafile," 2013). Table: Percent Differences Between Measured and Labeled Food National Advertised Regionally Distributed Locally Prepared 2 41 15 -28 46 60 -6 2 250 8 25 145 6 39 6 -1 16.5 80 10 17 95 13 28 3 15 -3 -4 14 -4 34 -18 42 10 5 3 -7 3 -0.5 -10 6 Do the data indicate that at least two of the mean percent differences between the three groups are different? Test at the 10% level. ********************************************************************** Let x1 = percent difference of calories between measured and labeled reduced calorie food that is nationally advertised Let x2 = percent difference of calories between measured and labeled reduced calorie food that is regionally distributed Let x3 = percent difference of calories between measured and labeled reduced calorie food that is prepared locally. Let μ1 = mean percent difference of calories between measured and labeled reduced calorie foods that are nationally advertised Let μ2 = mean percent difference of calories between measured and labeled reduced calorie foods that are regionally distributed Let μ3 = mean percent difference of calories between measured and labeled reduced calorie foods that are prepared locally. (i) Which of the following statements correctly defines the null hypothesis HO? A. None of the three mean percentage differences are equal B. At least two of the mean percentage differences are not equal C. At least two of the mean percentage differences are equal D. All three mean percentage differences are equal Enter letter corresponding to correct answer (ii) Which of the following statements correctly defines the alternative hypothesis HA? A. None of the three mean percentage differences are equal B. At least two of the mean percentage differences are not equal C. At least two of the mean percentage differences are equal D. All three mean percentage differences are equal Enter letter corresponding to correct answer (iii) Enter the level of significance α used for this test: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
QDES.A
A study was undertaken to see how accurate food labeling for calories on food that is considered "reduced calorie". The group measured the amount of calories for each item of food and then found the percent difference between measured and labeled food. The group also looked at food that was nationally advertised, regionally distributed, or locally prepared. The data is in the following table ("Calories datafile," 2013).
Table: Percent Differences Between Measured and Labeled Food
|
National Advertised |
Regionally Distributed |
Locally Prepared |
|
2 |
41 |
15 |
|
-28 |
46 |
60 |
|
-6 |
2 |
250 |
|
8 |
25 |
145 |
|
6 |
39 |
6 |
|
-1 |
16.5 |
80 |
|
10 |
17 |
95 |
|
13 |
28 |
3 |
|
15 |
-3 |
|
|
-4 |
14 |
|
|
-4 |
34 |
|
|
-18 |
42 |
|
|
10 |
|
|
|
5 |
|
|
|
3 |
|
|
|
-7 |
|
|
|
3 |
|
|
|
-0.5 |
|
|
|
-10 |
|
|
|
6 |
|
|
Do the data indicate that at least two of the
**********************************************************************
Let x1 = percent difference of calories between measured and labeled reduced calorie food that is nationally advertised
Let x2 = percent difference of calories between measured and labeled reduced calorie food that is regionally distributed
Let x3 = percent difference of calories between measured and labeled reduced calorie food that is prepared locally.
Let μ1 = mean percent difference of calories between measured and labeled reduced calorie foods that are nationally advertised
Let μ2 = mean percent difference of calories between measured and labeled reduced calorie foods that are regionally distributed
Let μ3 = mean percent difference of calories between measured and labeled reduced calorie foods that are prepared locally.
(i) Which of the following statements correctly defines the null hypothesis HO?
A. None of the three mean percentage differences are equal
B. At least two of the mean percentage differences are not equal
C. At least two of the mean percentage differences are equal
D. All three mean percentage differences are equal
Enter letter corresponding to correct answer
(ii) Which of the following statements correctly defines the alternative hypothesis HA?
A. None of the three mean percentage differences are equal
B. At least two of the mean percentage differences are not equal
C. At least two of the mean percentage differences are equal
D. All three mean percentage differences are equal
Enter letter corresponding to correct answer
(iii) Enter the level of significance α used for this test:
Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
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