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Mathematics, 13.11.2020 19:10 stinematesa

Assume a random sample of the birth weights of 186 healthy babies has a mean of 3103 g and a standard deviation of 696 g. Construct a 95% confidence interval estimate of the mean weight of all healthy babies born to healthy mothers. What does the interval suggest about a recent study informing soon-to-be-parents that they can expect their new baby to weigh about 2980 g? 3002 g < μ < 3204 g; the 2980 g weight is less than the range values of the interval; however, it is close to the interval and could therefore easily represent an expected mean weight of new babies.

3002 g < μ < 3204 g; the 2980 g weight falls below the interval, suggesting that it is unlikely to be an expected value and is likely too low to represent an accurate population mean.

2879 g < μ < 3080 g; the interval suggests 3103 g is not a likely mean, proving the sample is biased; the recent study should be used as a basis for estimating new birth weights.

2879 g < μ < 3080 g; the 2980 g weight falls comfortably in the interval, which suggests that 2980 g is very likely to represent an accurate population mean of birth weights.

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