Question

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of

n equals=70, find the probability of a sample mean being greater than 218 if μ equals=217 and σ equals=3.5.

1) For a sample of n equals=70, the probability of a sample mean being greater than 218 if μ=217 and σ equals=3.5 is ______.

2) The sample mean (would/ would not) _____ be considered unusual because it (lies/ does not lie) _____ within the range of a usual​ event, namely within (1 standard deviations/ 2 standard deviations/ 3 standard deviations)_____ of the mean of the sample means.

Please explain all answers as I do not understand how to do this. Thanks!

Answer 1