Question

In: Statistics and Probability

Use the given information to find the number of degrees of​ freedom, the critical values X^2L...

Use the given information to find the number of degrees of​ freedom, the critical values X^2L and X^2R, and the confidence interval estimate of σ. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Platelet Counts of Women 99​% confidence; n=28​, s=65.2. What is the degrees of freedom? What is the X^2R and X^2L? What is the standard deviation?

Solutions

Expert Solution

Solution :

Given that,

n = 28

df = 27

2R = 2/2,df = 49.645

2L = 21 - /2,df = 11.808

The 99% confidence interval for is,

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

  27 * 65.22 / 49.645 < < 27 * 65.22 / 11.808

48.5993 < < 99.6522

(48.5993 , 99.6522)


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