Question

The heights in inches of males in the united states are believed to be approximately normally distributed with mean u the mean height of a random sample of 25 american adult males is found to be x=69.72 and the standard deviation s=4.15 what is the standard error of x

Answer 1

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 =

$\bar x = 69.72$ inches

Std deviation of sample s = $4.15$ 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 = $\frac{s}{\sqrt{n} } =\frac{4.15}{5} \\=0.83$

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