We have the survey data on the body mass index (BMI) of 662 young women. The mean BMI in the sample wasx¯¯¯=25.3x¯=25.3. We treated these data as an SRS from a Normally distributed population with standard deviationσ=σ=7.8 .
Give confidence intervals for the true population mean BMI and the margins of error for 90%, 95%, and 99% confidence.
Conf. Level Interval (±±0.01) margins of error (±±0.0001)
90% to
95% to
99% to
a)
i) 90% confidence interval estimate for population mean is,
The 90% confidence interval is, (24.80, 25.80)
ii) 95% confidence interval estimate for population mean is,
The 95% confidence interval is, (24.71, 25.89)
iii) 99% confidence interval estimate for population mean is,
The 99% confidence interval is, (24.52, 26.08)
b)
i) Margin of error ( E ) for 90% confidence interval is, 0.4987
ii) Margin of error ( E ) for 95% confidence interval is, 0.5942
iii) Margin of error ( E ) for 99% confidence interval is, 0.7821
Get Answers For Free
Most questions answered within 1 hours.