To be Submitted A random sample of 100 high school students in CT is taken. The dataset is in the file Backpack.xls. Do not print out the data file! 1. Find and label the mean, standard deviation, median, minimum and maximum of the variable Backpack weight. 2. Find and label the sample proportion of Backpack weights that are between 10 and 20 pounds (include the endpoints). 3. Find and interpret a 95% confidence interval for the mean Backpack weight for all CT high school students. 4. Report the error bound. 5. Find and interpret a 95% confidence interval for the proportion of all CT high school Backpack weights that are between 10 and 20 pounds. 6. Report the error bound. 7. A researcher claims that the mean weight for all CT high school back pack weights is more than 12 pounds. Using your answer to #3, comment on this claim and justify.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question 4-10!

Here's the dataset:

BackpackWeight BodyWeight Ratio BackProblems Major Year Sex Status Units
9 125 0.072 1 Bio 3 Female U 13
8 195 0.0410256 0 Philosophy 5 Male U 12
10 120 0.0833333 1 GRC 4 Female U 14
6 155 0.0387097 0 CSC 6 Male G 0
8 180 0.0444444 0 EE 2 Female U 14
5 240 0.0208333 0 History 0 Male G 0
8 170 0.0470588 0 CM 3 Male U 15
4 185 0.0216216 1 ARCE 5 Female U 18
5 130 0.0384615 0 Bio 4 Female U 14
2 120 0.0166667 0 Bio 5 Female U 8
8 135 0.0592593 0 Bus 3 Female U 15
21 160 0.13125 0 ME 5 Male U 12
11 170 0.0647059 0 CPE 4 Male U 16
11 170 0.0647059 1 CPE 4 Male U 16
12 125 0.096 1 CS 3 Female U 12
11 175 0.0628571 0 CPE 4 Male U 16
13 145 0.0896552 1 Bio 4 Female U 16
6 105 0.0571429 0 LS 3 Female U 16
10 125 0.08 1 LS 3 Female U 17
5 165 0.030303 0 Bio 3 Male U 14
20 170 0.117647 0 CSC 2 Male U 16
14 117 0.119658 1 EE 2 Female U 12
11 145 0.0758621 0 CE 5 Male U 14
15 205 0.0731707 0 Bio 5 Female U 12
10 270 0.037037 0 AGB 3 Male U 12
18 160 0.1125 1 Mate 1 Male U 13
8 150 0.0533333 0 AGB 4 Male U 16
5 140 0.0357143 0 Poli Sci 2 Female U 16
25 190 0.131579 0 Aero Eng. 2 Male U 14
6 165 0.0363636 1 Soc. Sci. 1 Female U 15
10 145 0.0689655 1 GRC 1 Female U 14
15 120 0.125 1 MLL 3 Female U 16
9 135 0.0666667 0 LS 6 Female G 14
7 145 0.0482759 0 CPE 6 Male U 11
14 165 0.0848485 1 Math 5 Female U 12
17 145 0.117241 0 Psych 4 Female U 13
14 140 0.1 0 ARCE 2 Female U 15
11 160 0.06875 0 EE 4 Male U 15
4 155 0.0258065 0 IT 3 Male U 16
8 143 0.0559441 0 Psy 2 Female U 17
8 145 0.0551724 1 AGB 4 Female U 16
13 135 0.0962963 1 SOCS 3 Female U 16
10 130 0.0769231 0 Nut. 3 Female U 16
15 165 0.0909091 1 Math 4 Female U 12
10 140 0.0714286 0 LS 1 Female U 14
5 115 0.0434783 0 Soc. Sci. 1 Female U 13
6 128 0.046875 0 Bus 1 Female U 14
5 150 0.0333333 0 SPC 2 Female U 14
13 220 0.0590909 0 CE 2 Male U 13
10 150 0.0666667 0 CD 3 Female U 16
19 170 0.111765 0 ME 5 Male U 12
8 155 0.0516129 0 Econ 2 Male U 12
21 116 0.181034 0 Vocal Music 4 Female U 16
16 190 0.0842105 0 Bus 2 Male U 14
13 145 0.0896552 0 Bio 4 Female U 16
17 144 0.118056 1 Bio 2 Female U 13
10 130 0.0769231 0 Kine 2 Female U 15
5 185 0.027027 1 Psych 4 Male U 15
9 140 0.0642857 0 Kine 3 Female U 16
13 125 0.104 0 Math 2 Female U 17
10 175 0.0571429 0 Act. 2 Male U 19
10 150 0.0666667 0 Nutrition 4 Female U 12
11 180 0.0611111 1 Kine 4 Male U 18
8 140 0.0571429 1 Poli Sci 3 Female U 12
12 220 0.0545455 0 EE 1 Male U 14
35 195 0.179487 0 Aero 5 Male U 12
12 127 0.0944882 1 Phys 5 Female U 16
14 150 0.0933333 0 Kine 3 Female U 16
2 125 0.016 0 IT 5 Male U 15
5 125 0.04 1 ARCE 2 Female U 16
6 180 0.0333333 0 ME 4 Male U 15
20 180 0.111111 1 CPE 1 Male U 13
14 150 0.0933333 0 Aero 2 Male U 14
14 125 0.112 0 Pols 2 Female U 17
8 160 0.05 0 ME 2 Male U 13
25 144 0.173611 0 LS 3 Female U 17
2 105 0.0190476 0 IE 6 Female U 15
8 125 0.064 1 Pols 5 Female U 16
15 130 0.115385 1 Bus 3 Female U 16
10 120 0.0833333 0 AGB 4 Female U 16
25 175 0.142857 1 CE 4 Female U 15
24 145 0.165517 1 Bus 3 Female U 16
5 115 0.0434783 1 ME 3 Female U 14
10 110 0.0909091 0 CE 2 Female U 16
19 130 0.146154 1 LS 5 Female U 16
13 135 0.0962963 0 LS 4 Female U 16
9 128 0.0703125 0 Aero 1 Female U 16
14 135 0.103704 0 ARCE 4 Male U 13
20 170 0.117647 1 Bus 3 Male U 18
16 175 0.0914286 0 Bio 3 Male U 12
18 150 0.12 0 IT 6 Male U 17
18 160 0.1125 1 MFGE 3 Male U 13
11 168 0.0654762 1 Bus 3 Male U 16
13 155 0.083871 0 Psy 4 Male U 14
15 210 0.0714286 0 Arch 3 Male U 17
14 165 0.0848485 0 ME 3 Male U 11
6 195 0.0307692 0 APIO 1 Male U 16
11 130 0.0846154 0 Bus 1 Male U 12
9 140 0.0642857 0 AERO 3 Male U 12
15 170 0.0882353 0 History 5 Male U 14
To be Submitted

A random sample of 100 high school students in CT is taken. The dataset is in the file Backpack.xls. **Do not print out the data file!**

1. **Find and label** the mean, standard deviation, median, minimum and maximum of the variable Backpack weight.

2. **Find and label** the sample proportion of Backpack weights that are between 10 and 20 pounds (include the endpoints).

3. **Find and interpret** a 95% confidence interval for the mean Backpack weight for all CT high school students.

4. Report the error bound.

5. **Find and interpret** a 95% confidence interval for the proportion of all CT high school Backpack weights that are between 10 and 20 pounds.

6. Report the error bound.

7. A researcher claims that the mean weight for all CT high school backpack weights is more than 12 pounds. Using your answer to #3, comment on this claim and justify.

8. A researcher claims that the proportion of all CT high school backpack weights between 10 and 20 pounds is more than 45%. Using your answer to #5, comment on this claim and justify.

9. **Find and label** the mean, standard deviation, median, minimum and maximum of the variable Body weight.

10. **Find and interpret** a 95% confidence interval for the mean Body weight for all CT high school students.
Transcribed Image Text:To be Submitted A random sample of 100 high school students in CT is taken. The dataset is in the file Backpack.xls. **Do not print out the data file!** 1. **Find and label** the mean, standard deviation, median, minimum and maximum of the variable Backpack weight. 2. **Find and label** the sample proportion of Backpack weights that are between 10 and 20 pounds (include the endpoints). 3. **Find and interpret** a 95% confidence interval for the mean Backpack weight for all CT high school students. 4. Report the error bound. 5. **Find and interpret** a 95% confidence interval for the proportion of all CT high school Backpack weights that are between 10 and 20 pounds. 6. Report the error bound. 7. A researcher claims that the mean weight for all CT high school backpack weights is more than 12 pounds. Using your answer to #3, comment on this claim and justify. 8. A researcher claims that the proportion of all CT high school backpack weights between 10 and 20 pounds is more than 45%. Using your answer to #5, comment on this claim and justify. 9. **Find and label** the mean, standard deviation, median, minimum and maximum of the variable Body weight. 10. **Find and interpret** a 95% confidence interval for the mean Body weight for all CT high school students.
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