Values a and b where a b such that the sample standard devi

Values a and b (where a < b) such that the sample standard deviation is between a and b with probability 0.8, and the probability that the sample standard deviation is larger than b is 0.1.

a. a = 11.721, b = 18.171

b. a = 12.385, b = 17.415

c. a = 12.643, b = 17.673

d. a =13.205, b = 16.512

Solution

The given example is based on Uniform distribution :

d. a =13.205, b = 16.512

By substituting the value of a and b the value of standard deviation is 0.9 and is nearer to 0.8.