Question

In: Statistics and Probability

Hoekema et al. (A-3) studued the craniofacial morphology of patient diagnosed with obstructive sleep apnea syndrome...

Hoekema et al. (A-3) studued the craniofacial morphology of patient diagnosed with obstructive sleep apnea syndrome (OSAS) in health male subjects. One of the demographic variables the researchers collected for all subjects was the Body Was INDEX (calculated by dividing weight in kg by the square of the patient's height's in cm). The following are the BMI values of 29 OSAS subjects.

33.57, 27.78, 40.81

,38.34, 29.01, 47.78,

26.86, 54.33 ,28.99,

25.21, 30.49., 27.38

,36.42 ,41.50 ,29.39

,24.54 ,41.75, 44.68

,24.49, 33.23, 47.09,

29.07, 28.21, 42.10,

26.54 ,27.74, 33.48 ,

31.44, 30.08

a) Use these data to construct:

A frequency distruction

A relative frequency distribuction

A accumulative frequency distribution

A histogram

A frequency polygram

b)What percentage of the measurements are less than 30?

c)what percentage of measurements are between 40.0 and 49.99 inclusive?

d)what percentage of the measurements are greater than 34.99?

e)describe these data with respect to symmetry and skewness as describe

f)How many of the measurements are less than 40?

Expert Solution

a)

Class interval	Frequency	Relative frequency	Cumulative Frequency	Cumulative Relative Frequency
20 - 25	2	2 / 29 = 0.069	2	0.0690
25 - 30	11	11 / 29 = 0.3793	13	0.4483
30 - 35	6	6 / 29 = 0.2069	19	0.6552
35 - 40	2	2 / 29 = 0.069	21	0.7241
40 - 45	5	5 / 29 = 0.1724	26	0.8966
45 - 50	2	2 / 29 = 0.069	28	0.9655
50 - 55	1	1 / 29 = 0.0345	29	1.0000
Total	29	1.0000

Histogram:

Frequency polygon:

b) Percentage of the measurements that are less than 30 = 13/29 = 44.83%

c) Percentage of measurements are between 40.0 and 49.99 inclusive = (5+2)/29 = 24.14%

d) Percentage of the measurements are greater than 34.99 = (2+5+2+1)/29 = 34.48%

e) The data is not symmetric and the distribution is skewed.

f) Number of the measurements that are less than 40 = 2+11+6+2 = 21

orchestra answered 2 years ago

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