The dataset consists of 150 newborn babies sampled from a certain hospital. Four

Question

The dataset consists of 150 newborn babies sampled from a certain hospital. Four variables are recorded: weight (lbs), height (inch), pregnancy time (weeks), and gender.

A) Suppose the 150 babies are random samples from all over the US. Construct by hand a 90% confidence interval for the average weight of all babied born in the US.

B) Interpret the confidence interval from part A.

C) Is it appropriate to use the t-based confidence interval procedure for this study?

Justify your answer. Show pictures if necessary.

Explanation / Answer

First we will need to find mean and standard deviation of all the samples.

A. As n=150 we will use z distribution and as 95% CI so we will have z=1.96

now we will need to find E=margin of error=z*sd/sqrt(n)

based on this E we get CI=mean+/-E

B. Interpretation of CI says that population mean will be between this interval.

C. No asn is large enough we will use z distribution only

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