Expected Value and Standard Deviation for a Sample Mean
Remember the imagpop data frame in the tigerstats package. Here is some information on the heights for this population:
## min Q1 median Q3 max mean sd n missing## 53.8 64.7 67.5 70.3 80.2 67.53 3.907 10000 0
As you can see, the mean height mu is 67.53 inches, and the standard deviation sigma is 3.907 inches.
George is about to take a simple random sample of 25 people from this population. He will then compute the sample mean x-bar of the 25 heights. Compute the expected value and the standard deviation of x-bar, and choose all correct options below.
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