Considering a sample of n = 9 water specimens selected for treatment by co- agulation, the sample mean arsenic concentration was 24.3 μg/L, and the sample standard deviation was 4.1. Assume that the distribution of arsenic concentration was normal. (a) Calculate and interpret a 95% CI for true average arsenic concentration in all such water specimens. (b) Calculate a 95% upper confidence bound for the standard deviation of the arsenic concentration distribution (c) Assuming a new sample of n = 50 water specimens selected with the sample mean arsenic concentration of 23.5 μg/L and the sample standard deviation of 0.75, calculate a 95% CI for true average arsenic concentration without assuming normal distribution of arsenic concentration?
Considering a sample of n = 9 water specimens selected for treatment by co-
agulation, the sample mean arsenic concentration was 24.3 μg/L, and the sample
standard deviation was 4.1. Assume that the distribution of arsenic concentration
was normal.
(a) Calculate and interpret a 95% CI for true average arsenic concentration in all
such water specimens.
(b) Calculate a 95% upper confidence bound for the standard deviation of the
arsenic concentration distribution
(c) Assuming a new sample of n = 50 water specimens selected with the sample
mean arsenic concentration of 23.5 μg/L and the sample standard deviation of
0.75, calculate a 95% CI for true average arsenic concentration without assuming
normal distribution of arsenic concentration?
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