type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction…
type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.\nthe 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.\nthe standard error of the mean of the sample is \n\n hours. (round off your answer to the nearest hundredth.)
Answer
Explanation:
Step1: Recall standard - error 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 values
We are given that $\sigma = 0.75$ hours and $n = 35$.
Step3: Calculate standard error
$SE=\frac{0.75}{\sqrt{35}}\approx\frac{0.75}{5.916}\approx0.13$
Answer:
$0.13$