Anhanes report gives data for 654654 women aged 20–2920–29 years. the mean bmi of these 654654 women was ¯=26.8x¯=26.8 . we treated these data as an srs from a normally distributed population with standard deviation =7.5σ=7.5 . (a) suppose that we had an srs of just 100100 young women. what would be the margin of error for 95%95% confidence? 1.471.47 0.750.75 1.541.54 1.231.23 (b) find the margins of error for srss of 400400 young women and 16001600 young women. 11 0.6170.617 44 0.36750.3675 22 0.3850.385 55 0.0980.098 33 0.7350.735 66 0.3080.308 enter the number (1,2,3,4,5,or 6)(1,2,3,4,5,or 6) of the term that corresponds to a margin of error for 95%95% confidence of each srs. =400n=400 : =1600n=1600 : (c) compare the margins of error for 100,400100,400 , and 16001600 women. how does increasing the sample size change the margin of error of a confidence interval when the confidence level and population standard deviation remain the same? the larger the sample size, the larger margin of error of a confidence interval. false. the margin of error is doubled each time quadruples. true. the margin of error is doubled each time quadruples. true. the margin of error is halved each time quadruples.