Answer:
Standard error = 0.83
Step-by-step explanation:
Given that the heights in inches of males in the united states are believed to be approximately normally distributed with mean u
Sample mean for 25 adults randomly taken =
[tex]\bar x = 69.72[/tex] inches
Std deviation of sample s = [tex]4.15[/tex] inches
Since X the height of males is Normal we find that the sample mean also will follow a normal distribution.
By central limit theorem, mean of x would be= sample mean= 69.72
Std error = [tex]\frac{s}{\sqrt{n} } =\frac{4.15}{5} \\=0.83[/tex]
Standard error of the mean = std dev/square root of sample size.
Here only sample std deviation is known
So we used it
Standard error = 0.83
