16.9 Standard error versus the bootstrap standard error. We have two ways to estimate the standard deviation of a sample mean x: use the formula s/

√

n for the standard error, or use the bootstrap standard error.

(a) Find the sample standard deviation s for the 60 IQ test scores in Exercise 16.4 and use it to find the standard error s/

√

n of the sample mean. How closely does your result agree with the bootstrap standard error from your resampling in Exercise 16.4?

(b) Find the sample standard deviation s for the CO2 emissions in Exercise 16.5 and use it to find the standard error s/

√

n of the sample mean. How closely does your result agree with the bootstrap standard error from your resampling in Exercise 16.5?

(c) Find the sample standard deviation s for the 8 listening times in Exercise 16.6 and use it to find the standard error s/

√

n of the sample mean. How closely does your result agree with the bootstrap standard error from your resampling in Exercise 16.6?