summarize the data with proper units, write the CI and E formulas, show work, wr
ID: 3331604 • Letter: S
Question
summarize the data with proper units, write the CI and E formulas, show work, write the calculated CI, and draw the conclusion.
a) when 328 college students are randomly selected and surveyed, it is found that 122 own an apricot y-phone. find a 99% confidence interval )to 3 decimal places) for the true proportion of all college students who own an apricot y phone.
B) a lab tested eighteen chicken eggs and found that the mean amount of cholesterol was 185 milligram with s=17.6 milligrams. construct a 95% confidence interval for the true mean cholesterol content of all such eggs. round the confidence interval limits for the mean (to 1 dec place)
Explanation / Answer
a) here sample proportion phat=122/328 =0.372
std error =(phat(1-phat)/n)1/2 =0.0267
for 99% confidence interval ;z =2.5758
hence margin of error E =z*std error =0.0687
and 99% confidence interval =sample proportion -/+ z*std error =0.303 ; 0.441
above interval gives 99% confiedence to contain true proportion of all college students who own an apricot y phone.
B) std error of mean =std deviaiton/(n)1/2 =17.6/(18)1/2 =4.1484
for 95% confidence interval ;t =2.1098
hence margin of error E =t*std error =0.8.7523
hence 95% confidence interval =sample mean -/+ t*Std error =-176.2 ; 193.8
above interval gives 95% confiedence to contain true mean cholesterol content of all eggs
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