Here are summary statistics for randomly selected weights of newborn? girls: neq

Question

Here are summary statistics for randomly selected weights of newborn? girls:
nequals=235235?,
x overbarxequals=29.429.4
?hg,
sequals=6.26.2
hg. Construct a confidence interval estimate of the mean. Use a
9090?%
confidence level. Are these results very different from the confidence interval
28.828.8
hgless than<mu?less than<30.430.4
hg with only
1717
sample? values,
x overbarxequals=29.629.6
?hg, and
sequals=1.81.8
?hg?
What is the confidence interval for the population mean
mu???
nothing
hgless than<mu?less than<nothing
hg ?(Round to one decimal place as? needed.)

Explanation / Answer

Ans:

Given that

n=235

sample mean=29.4

sample standard deviation=6.2

(n is very large,we can use normal distribution)

z=1.645 for 90% CI

90% confidence interval for population mean

=29.4+/-1.645*(6.2/sqrt(235))

=29.4+/-0.7

=(28.7, 30.1)

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