Here are summary statistics for randomly selected weights of newborn girls:nequals235,x overbarequals32.8 hg,sequals7.9 hg. Construct a confidence interval estimate of the mean. Use a99%confidence level. Are these results very different from the confidence interval29.7 hgless thanmuless than35.3 hg with only15 sample values,x overbarequals32.5 hg, andsequals3.6 hg?What is the confidence interval for the population meanmu? nothing hgless thanmuless thannothing hg (Round to one decimal place as needed.)Are the results between the two confidence intervals very different? A.No, because each confidence interval contains the mean of the other confidence interval. B.Yes, because one confidence interval does not contain the mean of the other confidence interval. C.No, because the confidence interval limits are similar. D.Yes, because the confidence interval limits are not similar.

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Description: Here are summary statistics for randomly selected weights of newborn girls:nequals235,x overbarequals32.8 hg,sequals7.9 hg. Construct a confidence interval estimate of the mean. Use a99%confidence level. Are these results very different from the

From the given information, In this context, it is appropriate to test, whether the results are very different from the confidence interval 29.7hg<µ<35.3hg Sample size n =235 Sample mean, x̅=32.8 Sample standard deviation, s=7.9 Confidence level = 99% Degrees of freedom: 234(=235-1). Using Excel function, “=T.INV.2T(0.01,234)”, the critical value for two-tailed test at 99% confidence level is ±2.597. The standard error is: SE=sn=7.9235=0.5153 Margin of error: E=t(ꭤ/2)SE=2.597×0.5153=1.3383Confidence interval: CI=x̅±E =32.8±1.3383 =(31.4617,34.1383)=(31.5,34.1 The 99% confidence interval is from 31.5 to 34.1. 99% C.I. = 31.5hg<µ<34.1hg. On observing the two intervals, it is clear that the two confidence intervals are different. Therefore, the correct answer is “Yes, because the confidence interval limits are not similar”.

Answered: Here are summary statistics for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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

nequals

235

x overbar

equals32.8

hg,

sequals

7.9

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

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

29.7

hgless than

muless than35.3

hg with only

sample values,

x overbar

equals32.5

hg, and

sequals

3.6

hg?

What is the confidence interval for the population mean

nothing

hgless than

muless thannothing

hg (Round to one decimal place as needed.)

Are the results between the two confidence intervals very different?

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

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

No, because the confidence interval limits are similar.

Yes, because the confidence interval limits are not similar.

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