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. if a sample of 35 people is drawn randomly from the population, what would be the standard error of the mean of the sample? 0.020.130.170.400.76

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

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