A health study estimates the standard deviation of daily step counts as σ=9.8\sigma=9.8. How many participants are required to estimate the mean daily steps within 22 steps with 99%99\% confidence?

7. Sampling Distributions & Confidence Intervals: Mean

7. Sampling Distributions & Confidence Intervals: Mean / Determining the Minimum Sample Size Required / Problema 7

Problema 7

A health study estimates the standard deviation of daily step counts as $sigma equals 9.8$ . How many participants are required to estimate the mean daily steps within $2$ steps with $99 percent sign$ confidence?

$154$

$160$

$141$

$157$