.4.) We are also interested in estimating the population standard deviation for

Question

.4.) We are also interested in estimating the population standard deviation for all male babies birth weights (in kilograms). We will assume that birth weights are at least approximately normally distributed. Below are the birth weights of 30 randomly chosen male babies from Hays Medical. 3.73 4.37 3.73 4.33 3.3 3.39 3.68 4.68 3.72       3.02 3.96 2.21 2.67 4.09 3.02 2.76 3.67 3.76 3.45       2.54 2.55 3.44 3.07 4.23 2.92 3.55 3.92 3.41 4.14        3.15 Out to the right, construct a 99% confidence interval estimate of sigma (), the population standard deviation. .4.) We are also interested in estimating the population standard deviation for all male babies birth weights (in kilograms). We will assume that birth weights are at least approximately normally distributed. Below are the birth weights of 30 randomly chosen male babies from Hays Medical. 3.73 4.37 3.73 4.33 3.3 3.39 3.68 4.68 3.72       3.02 3.96 2.21 2.67 4.09 3.02 2.76 3.67 3.76 3.45       2.54 2.55 3.44 3.07 4.23 2.92 3.55 3.92 3.41 4.14        3.15 Out to the right, construct a 99% confidence interval estimate of sigma (), the population standard deviation.

Explanation / Answer

Sample standard deviation s=0.61

Chi-square critical value at n-1=30-1=29 degree of freedom are 13.12 and 52.34

So 99% confidence interval for =sqrt((n-1)s2 /52.34) , sqrt((n-1)s2 /13.12)

=sqrt(29*0.612 /52.34), sqrt(29*0.612/13.12)

=( 0.454      0.907)

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