1)) 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,(measured-labeled) / labeled * 100%. 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

2)) Many high school students take the AP tests in different subject areas.In 2007, of the 144,796 students who took the biology exam 84,199 of them were female.In that same year, of the 211,693 students who took the calculus AB exam 102,598 of them were female ("AP exam scores," 2013).Estimate the difference in the proportion of female students taking the biology exam and female students taking the calculus AB exam using a 90% confidence level.

3))Are there more children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are mostly rural?In the state of Pennsylvania, a fairly urban state, there are 245 eight year olds diagnosed with ASD out of 18,440 eight year olds evaluated.In the state of Utah, a fairly rural state, there are 45 eight year olds diagnosed with ASD out of 2,123 eight year olds evaluated ("Autism and developmental," 2008).Is there enough evidence to show that the proportion of children diagnosed with ASD in Pennsylvania is more than the proportion in Utah?Test at the 1% level.