Question

Here are summary statistics for randomly selected weights of newborn​ girls: nequals247​, x overbarequals30.4 ​hg, sequals7.2 hg. Construct a confidence interval estimate of the mean. Use a 90​% confidence level. Are these results very different from the confidence interval 28.8 hgless thanmuless than31.0 hg with only 19 sample​ values, x overbarequals29.9 ​hg, and sequals2.8 ​hg? What is the confidence interval for the population mean mu​?

Answer 1

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Concepts and reason

The confidence level of an interval estimate of a parameter is the probability that the interval estimate will contain the parameter, assuming that a large number of samples are selected and the estimation process on the sample parameter is repeated.

A confidence interval is a specific interval estimate of a parameter determined by using data obtained from a sample and by using the specific confidence level of the estimate.

The margin of error is the maximum likely difference between the point estimate of a parameter and the actual value of the parameter.

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