Question

calculate the missing value:
sample
mean 46.52
standard error ?
standard deviation 8.03
sample variance 64.48
count 13

a. 3.58
b. 3.59
c. 0.62
d. 2.23

Explanation:

Step1: Recall standard error formula

The formula for standard error (SE) is $\text{SE} = \frac{s}{\sqrt{n}}$, where $s$ is the sample standard deviation, and $n$ is the sample count.

Step2: Plug in given values

Here, $s = 8.03$ and $n = 13$. First calculate $\sqrt{13} \approx 3.6056$.
Then compute $\text{SE} = \frac{8.03}{3.6056}$

Step3: Calculate the result

$\frac{8.03}{3.6056} \approx 2.23$

Answer:

d. 2.23