(6) 3. The accompanying data (see web site, C2) set consists of 27 observations

Question

(6) 3. The accompanying data (see web site, C2) set consists of 27 observations on flexural strength (MPa) for concrete beams of a certain type. -2198, -1860.94. a) Calculate a point estimate of the mean value for the population of all beams. b) Calculate a point estimate of the median. c) Calculate a point estimate of the population standard deviation . d) Calculate a point estimate of the proportion of all such beams whose strength exceeds 10 MPa (think of an observation as a "success" if exceeds 10) e) Calculate a point estimate of the population coefficient of variation olu.

Explanation / Answer

Descriptive statistics

n

27.

mean

8.1407

sample standard deviation

1.6595

sample variance

2.7540

minimum

5.9000

maximum

11.8000

range

5.9000

population variance

2.6520

population standard deviation

1.6285

1st quartile

7.0000

median

7.7000

3rd quartile

8.8500

interquartile range

1.8500

mode

6.300

a). 8.1407

b). 7.7

4 observations above 10.

The required proportion =4/27 =0.1481

e). cv = 1.6285/8.1407 =0.200044

Descriptive statistics

n

27.

mean

8.1407

sample standard deviation

1.6595

sample variance

2.7540

minimum

5.9000

maximum

11.8000

range

5.9000

population variance

2.6520

population standard deviation

1.6285

1st quartile

7.0000

median

7.7000

3rd quartile

8.8500

interquartile range

1.8500

mode

6.300

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