Question

The weights of newborn children in Canada are known to be normally distributed with mean 3402g.

Fifty randomly selected newborns are weighed and have a mean weight of 3953g and standard deviation of 583g.

Compute the left end of the 95% confidence interval for the population standard deviation of birth weights. Enter your answer to 1 decimal place.

Answer 1

Mean = 3953

Sample size (n) = 50

Standard deviation (s) = 583

Confidence interval(in %) = 95

z @ 95.0% = 1.96

Since we know that

Required confidence interval

Required confidence interval = (3953.0-161.5994, 3953.0+161.5994)

Required confidence interval = (3791.4, 4114.6)

The left end of the 95% confidence interval for the population standard deviation of birth weights is 3791.4 g

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