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In: Statistics and Probability

The weights of 3 randomly selected mattresses were found to have a standard deviation of 4.53....

The weights of 3 randomly selected mattresses were found to have a standard deviation of 4.53. Construct the 95% confidence interval for the population standard deviation of the weights of all mattresses in this factory. Round your answers to two decimal places.

Find the Lower Endpoint and Upper Endpoint

Solutions

Expert Solution

Solution :

Given that,

s = 4.53

s2 = 20.5209

2L = 2/2,df = 7.378

2R = 21 - /2,df = 0.051

The 95% confidence interval for is,

(n - 1)s2 / 2/2 < < (n - 1)s2 / 21 - /2

  2 * 20.5209 / 7.378 < < 2 * 20.5209 / 0.051

2.36 < < 28.48

Lower endpoint = 2.36

Upper endpoint = 28.48

( , )

orchestra answered 1 year ago
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