type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar…

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the time it takes for climbers to reach the highest point of a mountain is normally distributed with a standard deviation of 0.75 hours. a sample of 35 people is drawn randomly from the population. the standard error of the mean of the sample is hours. (round off your answer to the nearest hundredth.)
Answer
Answer:
0.13
Explanation:
Step1: Recall the formula
The formula for the standard error of the mean ($SE$) is $SE=\frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard - deviation and $n$ is the sample size.
Step2: Identify the values
We are given that $\sigma = 0.75$ hours and $n = 35$.
Step3: Calculate the standard error
$SE=\frac{0.75}{\sqrt{35}}\approx\frac{0.75}{5.916}\approx0.13$.