Question

Please show all work. 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 table #11.3.5 ("Calories datafile," 2013).  Do the data indicate that at least two of the mean percent differences between the three groups are different?  Test at the 10% level.

Table #11.3.5: 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

Answer 1

To solve this question we need to conduct a one way anova.

the hypothesis is

Ho : the mean percent difference is equal for the three groups
H1: At least one of the mean percent difference between three groups is different.(In other words two groups have different mean value)

The detailed worked out solution given below.

Conclusion : There is sufficient evidence to support the claim that at least two of the mean percent differences between the three groups are different