Answer:
The standard error of the mean of the sample is 0.13 ⇒ 2nd answer
Step-by-step explanation:
* Lets revise the definition of the standard error of the mean of
the sample
- The standard deviation of the distribution of sample means is called
the standard error of mean of the sample
- The rule of standard error is σM = σ/√n , where σ is the standard
deviation and n is the size of the sample
* lets solve the problem
- 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
∴ σ = 0.75
- A sample of 35 people is drawn randomly from the population
∴ n = 35
- Lets find the standard error
∵ The standard error = σ/√n
∵ σ = 0.75
∵ n = 35
∴ σM = 0.75/√35 = 0.126773 ≅ 0.13
* The standard error of the mean of the sample is 0.13
