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Details: 1. What is the between a raw score of 113 and 126 in a normal distribution with a mean of 100 and a standard deviation of 10? Find the area below and under the score of 135.

2. Test null hypothesis that urban and rural residents both have the same attitude toward gun control(data1). Group 1 is a group of the urban residents; group 2 is a group of the rural residents. set type I error rate at .05.

3. For data 2 make a conclusion as to whether there was a change in tons of paper used as a function of the recycling program in 25 different districts. Test the hypothesis at the .01 level. (Before and after become the two levels of treatment.)

4. Using data 3, compute the correlation between motivation and GPA. Test for the significance of the correlation coefficient at the .05 level using a two-tailed test.

Data 1 Data 2 Data 3
Resident attitude Pretest post test Motivation GPA
1 6.5 1 20 23 1 3.4
2 7.9 2 6 8 6 3.4
2 4.3 3 12 11 2 2.5
2 6.8 4 34 35 7 3.1
1 9.9 5 55 57 5 2.8
1 6.8 6 43 76 4 2.6
1 4.8 7 54 54 3 2.1
2 6.5 8 24 26 1 1.6
2 3.3 9 33 35 8 3.1
1 4 10 21 26 6 2.6
2 13.17 11 34 29 5 3.2
1 5.26 12 33 31 6 3.1
2 9.25 13 54 56 5 3.2
1 8 14 23 22 5 2.7
2 1.25 15 33 35 6 2.8
1 4.23 16 44 41 6 2.6
1 6.95 17 65 56 7 2.5
2 6.74 18 43 34 7 2.8
1 5.96 19 53 51 2 1.8
2 5.25 20 22 21 9 3.7
2 2.36 21 34 31 8 3.1
1 9.25 22 32 33 8 2.5
1 6.36 23 44 38 7 2.4
1 8.99 24 17 15 6 2.1
1 5.58 25 28 27 9 4
2 4.25 7 3.9
1 6.6 8 3.1
2 1 7 3.3
1 5 8 3
2 3.5 9 2.