To study the conversion of nitrite to nitrate in the blood, researchers injected four rabbits with a solution of radioactively labeled nitrite molecules. Ten minutes after injection, they measured for each rabbit the percentage of the nitrite that had been converted to nitrate.The results were as follows49:
51.1 55.4 48.0 49.5
(a) For these data, calculate the mean, the standard deviation, and the standard error of the mean.
(b) Assuming the percentage of nitrite converted to nitrate follows a normal distribution, construct a 95% confidence interval for the population mean percentage.
(c) Without doing any calculations, would a 99% confidence interval be wider, narrower, or the same width as the confidence interval you found in part (b)? Why?