Question

In: Statistics and Probability

Use the given information to find the number of degrees of​ freedom, the critical values chi...

Use the given information to find the number of degrees of​ freedom, the critical values chi Subscript Upper L Superscript 2 and chi Subscript Upper R Superscript 2​, and the confidence interval estimate of sigma. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Platelet Counts of Women 90​% ​confidence; n=22​, s=65.8.  

Solutions

Expert Solution

Solution :

Given that,

s = 65.8

n = 22

df = 21

2R = 2/2,df = 32.671

2L = 21 - /2,df = 11.591

The 90% confidence interval for is,

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

  21 * 65.8 2 / 32.671 < < 21 * 65.8 2 / 11.591

52.7542 < < 88.5665

(52.7542 , 88.5665 )


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