1. (based on #18, p. 293) The U.S. Army commissioned a study to asses how deeply a bullet penetrates certaimic body armor. In the standard test, a cylindircal clay model is layered under the armor vest. A projectile is then fired, causing an indentation in the clay. The deepest impression in the clay is measured as an indication of survivability of wearing the armor. Here is data from one testing organization under controlled experimental conditions. Measurements (in mm) were made using a manually controlled digital caliper. 22.4 29.1 31.7 33.5 35.4 37.4 23.6 29.6 31.9 33.5 35.4 37.5 24 29.7 31.9 33.6 35.5 37.5 24.9 29.8 32 33.6 35.7 38 25.5 29.9 32.1 33.8 35.8 38.7 25.6 30 32.4 33.9 36 38.8 25.8 30.4 32.5 34.1 36 39.8 26.1 30.5 32.5 34.2 36 41 26.4 30.7 32.6 34.6 36.1 42 26.7 30.7 32.9 34.6 36.1 42.1 27.4 31 33.1 35 36.2 44.6 27.6 31 33.3 35.2 36.4 48.3 28.3 31.4 33.5 35.2 36.6 55 29 31.6 33.5 35.4 37 x= 33.37, s =5.27 Do the data appear to come from a normally distributed population? Support your answer with a discussion of a tool of your choice. Be sure to address this question: Is this assumption important- and why? b. Construct and interpret a 99% confidence interval for the population mean indentation. a. с. Construct and interpret a 99% upper confidence bound for the mean indentation. Why might this be of more interest than that in part (b)?
1. (based on #18, p. 293) The U.S. Army commissioned a study to asses how deeply a bullet penetrates certaimic body armor. In the standard test, a cylindircal clay model is layered under the armor vest. A projectile is then fired, causing an indentation in the clay. The deepest impression in the clay is measured as an indication of survivability of wearing the armor. Here is data from one testing organization under controlled experimental conditions. Measurements (in mm) were made using a manually controlled digital caliper. 22.4 29.1 31.7 33.5 35.4 37.4 23.6 29.6 31.9 33.5 35.4 37.5 24 29.7 31.9 33.6 35.5 37.5 24.9 29.8 32 33.6 35.7 38 25.5 29.9 32.1 33.8 35.8 38.7 25.6 30 32.4 33.9 36 38.8 25.8 30.4 32.5 34.1 36 39.8 26.1 30.5 32.5 34.2 36 41 26.4 30.7 32.6 34.6 36.1 42 26.7 30.7 32.9 34.6 36.1 42.1 27.4 31 33.1 35 36.2 44.6 27.6 31 33.3 35.2 36.4 48.3 28.3 31.4 33.5 35.2 36.6 55 29 31.6 33.5 35.4 37 x= 33.37, s =5.27 Do the data appear to come from a normally distributed population? Support your answer with a discussion of a tool of your choice. Be sure to address this question: Is this assumption important- and why? b. Construct and interpret a 99% confidence interval for the population mean indentation. a. с. Construct and interpret a 99% upper confidence bound for the mean indentation. Why might this be of more interest than that in part (b)?
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 44SE: At the start of a trip, the odometer on a car read 21,395. At the end of the trip, 13.5 hours later,...
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Transcribed Image Text:1. (based on #18, p. 293) The U.S. Army commissioned a study to asses how deeply a bullet
penetrates certaimic body armor. In the standard test, a cylindircal clay model is layered under the
armor vest. A projectile is then fired, causing an indentation in the clay, The deepest impression
in the clay is measured as an indication of survivability of wearing the armor. Here is data from
one testing organization under controlled experimental conditions. Measurements (in mm) were
made using a manually controlled digital caliper.
22.4
29.1
31.7
33.5
35.4
37.4
23.6
29.6
31.9
33.5
35.4
37.5
24
29.7
31.9
33.6
35.5
37.5
24.9
29.8
32
33.6
35.7
38
25.5
29.9
32.1
33.8
35.8
38.7
25.6
30
32.4
33.9
36
38.8
25.8
30.4
32.5
34.1
36
39.8
26.1
30.5
32.5
34.2
36
41
26.4
30.7
32.6
34.6
36.1
42
26.7
30.7
32.9
34.6
36.1
42.1
35
36.2
44.6
33.1
33.3
27.4
31
48.3
55
27.6
31
35.2
36.4
28.3
31.4
33.5
35.2
36.6
29
31.6
33.5
35.4
37
x= 33.37, s =5.27
Do the data appear to come from a normally distributed population? Support your answer
with a discussion of a tool of your choice. Be sure to address this question: Is this
assumption important – and why?
b. Construct and interpret a 99% confidence interval for the population mean indentation.
Construct and interpret a 99% upper confidence bound for the mean indentation. Why
might this be of more interest than that in part (b)?
a.
C.
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