Question

How large a sample is needed if we wish to be 98% confident that our sample mean will be within 0.0005 inch of the true mean given that the population has a standard deviation of 0.0015 inch and is approximately normally distributed. (Integer value)

Answer 1

49

Explanation:

`MOE =z(s)/(√(n))`

`\displaystyle 0.0005=2.326\biggr((0.0015)/(√(n))\biggr)\\\\0.0005√(n)=2.326(0.0015)\\\\√(n)=2.326(3)\\\\√(n)=6.978\\\\n\approx49`

Therefore, you would need a sample size of 49 to obtain a margin of error of 0.0005