Scottish Militiamen Chest Sizes

In: Science

Submitted By akanazasky
Words 516
Pages 3
Course code: STA-201-GS
Course name: PRINCIPLES OF STATISTICS

Written Assignment 8

The written assignment draws on case study discussion exercises at the end of chapter. When preparing your assignment, please identify each answer clearly by question and its number.
Case Study: Chest Sizes of Scottish Militiamen (p. 295): Answer a, b, c, d. You must calculate results by hand (though you may use any technology of your choice to verify your answers).

a. Construct a relative-frequency histogram for the chest circumference data, using classes based on a single value.

Size | Frequency | | | | | | | | | | | | | 33 | 3 | | | | | | | | | | | | 34 | 19 | | | | | | | | | | | | 35 | 81 | | | | | | | | | | | | 36 | 189 | | | | | | | | | | | | 37 | 409 | | | | | | | | | | | | 38 | 753 | | | | | | | | | | | | 39 | 1062 | | | | | | | | | | | | 40 | 1082 | | | | | | | | | | | | 41 | 935 | | | | | | | | | | | | 42 | 646 | | | | | | | | | | | | 43 | 313 | | | | | | | | | | | | 44 | 168 | | | | | | | | | | | | 45 | 50 | | | | | | | | | | | | 46 | 18 | | | | | | | | | | | | 47 | 3 | | | | | | | | | | | | 48 | 1 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

b. The population mean and population standard deviation of the chest circumferences are 39.85 and 2.07, respectively. Identify the normal curve that should be used for the chest circumferences.
Size
Interval
Frequency
33
32.5-33.5
3
34
33.5-34.5
19
35
34.5-35.5
81
36
35.6-36.5
189
37
36.5-37.5
409
38
37.5-38.5
753
39
38.5-39.5
1062
40
39.5-40.5
1082
41
40.5-41.5…...

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