Here are summary statistics for randomly selected weights of newborn​ girls: n=241​, x=29.6 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 98​% confidence level. Are these results very different from the confidence interval 28.0 hg<μ<31.8 hg with only 13 sample​ values, x=29.9 ​hg, and s=2.6 ​hg?

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

n=241​,
x=29.6

​hg,

s=6.9

hg. Construct a confidence interval estimate of the mean. Use a

98​%

confidence level. Are these results very different from the confidence interval

28.0
hg<μ<31.8

hg with only

13

sample​ values,

x=29.9

​hg, and

s=2.6

​hg? 

Expert Solution
Step 1

Given:

n = 241

X = 29.6

s = 6.9

Confidence level = 98%

Formula Used:

Confidence interval = X ± t*sn

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