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
QDES.B
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
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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.
(iv) Calculate sample mean and sample standard deviation for sample percent differences between measured and labeled food that is advertised nationally.
Enter sample mean in decimal form to nearest thousandth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers:
13.278,2.31
0.274,0.06
-10.301,0.79
(v) Calculate sample mean and sample standard deviation for for sample percent differences between measured and labeled food that is distributed regionally.
Enter sample mean in decimal form to nearest thousandth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers:
13.278,2.31
0.274,0.06
-10.301,0.79
(vi) Calculate sample mean and sample standard deviation for sample percent differences between measured and labeled food that is prepared locally.
Enter sample mean in decimal form to nearest thousandth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers:
13.278,2.31
0.274,0.06
-10.301,0.79
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