Please show all work. A study was undertaken to see how accuratefood labeling for calories on food that is considered reducedcalorie.  The group measured the amount of calories foreach item of food and then found the percent difference betweenmeasured and labeled food, .  The group also looked atfood that was nationally advertised, regionally distributed, orlocally prepared.  The data is in table #11.3.5(\"Calories datafile,\" 2013).  Do the data indicate thatat least two of the mean percent differences between the threegroups are different?  Test at the 10% level.
Table #11.3.5: PercentDifferences 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 | | |