Here are summary statistics for randomly selected weights of newborn girls: n=218, x=30.4 hg, s=7.3 hg. Construct a confidence interval estimate of the mean. Use a 99% confidence level. Are these results very different from the confidence interval 28.5 hg<μ<32.9 hg with only 17 sample values, x=30.7 hg, and s=3.1 hg? What is the confidence interval for the population mean μ? (?)hg<μ<(?)hg (Round to one decimal place as needed.) Are the results between the two confidence intervals very different?

Here are summary statistics for randomly selected weights of newborn girls: n=218, x=30.4 hg, s=7.3 hg. Construct a confidence interval estimate of the mean. Use a 99% confidence level. Are these results very different from the confidence interval 28.5 hg<μ<32.9 hg with only 17 sample values, x=30.7 hg, and s=3.1 hg? What is the confidence interval for the population mean μ? (?)hg<μ<(?)hg (Round to one decimal place as needed.) Are the results between the two confidence intervals very different?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

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

n=218,

x=30.4

hg,

s=7.3

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

99%

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

28.5

hg<μ<32.9

hg with only

sample values,

x=30.7

hg, and

s=3.1

hg?

What is the confidence interval for the population mean

μ?

(?)hg<μ<(?)hg (Round to one decimal place as needed.)

Are the results between the two confidence intervals very different?

No, because the confidence interval limits are similar.

No, because each confidence interval contains the mean of the other confidence interval.

Yes, because the confidence interval limits are not similar.

Yes, because one confidence interval does not contain the mean of the other confidence interval.

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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