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The following case is based on a data set containing birth weights (in kilograms

ID: 3134595 • Letter: T

Question

The following case is based on a data set containing birth weights (in kilograms) of 189 babies born at a local hospital some years ago. The data set can be summarized as follows:

In this question, you will be asked to construct a confidence interval around the babies’ average weight. To do so, I provide both a z and a t score (choose one):

z = 2.0537

t = 2.0681

What confidence level do these values represent? ­­­­­­­­­­__________________ (two decimals, please)

2,944.70 Mean 729 STDEV 4,990 Max 709 Min 189 Count

Explanation / Answer

As the sample size is n = 189, which is large, the it is practical to use the z value,

z = 2.0537

The right tailed area of this z is

alpha/2 = 0.0200

hence,

confidence level = 1 - alpha = 0.96 or 96% [ANSWER]

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