My Notes Ask Your Teacher 0.1 points Devores A ournal article reports that a sam

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My Notes Ask Your Teacher 0.1 points Devores A ournal article reports that a sample of size 5 was used as a basis or calculating a 95% C1 or the true average natural requency H o de aminated beam sofa ce a type. The resulting interval was (229.968, 233.700). You decide that a confidence level of 99% is more appropriate than the 95% level used. what are the limits of the 9996 interval? [Hint: Use the center of the interval and its width to determine x and s.] (Round your answers to three decimal places.) 10. - ta19 7.E.050. Hz You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help?Read it Talk to & Tuter Submit Answer Save Progress Practice Another Version

Explanation / Answer

sample mean =(upper bound+lower bound)/2 =231.834

here margin of errorr =(upper bound-lower bound)/2 =(233.700-229.968)/2=1.866

for (n-1=4) degree of freedom and 95% CI ; critical t =2.776

for (n-1=4) degree of freedom and 99% CI ; critical t =4.604

therefore margin of error for 99% CI =4.604*1.866/2.776 =3.094

hence 99% confidence interval =sample mean -/+ margin of error =228.740 ;234.928

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