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The radon concentration (in pCi/liter) data obtained from 40 houses in a certain area are given below.
2.9
0.6
13.5
17.1
2.8
3.8
16.0
2.1
6.4
17.2
7.9
0.5
13.7
11.5
3.6
6.1
8.8
2.2
9.4
15.9
9.8
12.3
3.7
8.9
13.0
11.7
6.2
6.9
12.8
2.7
3.5
8.3
5.1
6.0
(a) Find the mean, variance, and range for these data.
(b) Find lower and upper quartiles, median, and interquartile range. Check for any outliers.
(c) Construct a box plot.
(d) Construct a histogram and interpret.
(e) Locate on your histogram x ± s, x ± 2s, and x ± 3s. Count the data points in each of the intervals x, x± s, x ± 2s, and x ± 3s. How do these counts compare with the empirical rule?
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We are interested in testing to find out whether the variance of the population is vitally more than 0.003
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