You Measure 29 Backpacks Weights And Find They Have A Mean Weight Of 43 Oun

Based on this, what is the maximal margin of error associated with a 99% confidence interval for the true population mean backpack weight.

± ____________ ounces

Solution


the empircal rule is 68-95-99

actually it’s 68-95-99.5 but use 99 as it’s more simple here

99% of the data falls within 3 standard deviations from the mean

3×4 = 12

43 plus or minus 12 is the 99% confidence interval. (31,55)

It’s really a 99.7 confidence interval, but to narrow it a little you’d need z tables or a calculator