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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.)

Respuesta :

LammettHash

[tex]\dfrac\sigma{\sqrt n}=\dfrac{0.75}{\sqrt{35}}\approx0.13[/tex]

Answer:

The standard error of the mean of the sample is 0.13 hours.

Step-by-step explanation:

We are given that,

Standard deviation of the distribution, σ = 0.75 hours

Total number of people in the sample, n = 35

Since, the standard error of the mean is given by,

[tex]SE=\dfrac{Standard\ Deviation}{\sqrt{Total\ sample}}\\\\SE=\dfrac{\sigma}{\sqrt{n}}[/tex]

Thus, the standard error for the given sample is,

[tex]SE=\dfrac{0.75}{\sqrt{35}}=\dfrac{0.75}{5.92}=0.13[/tex]

Hence, the standard error of the mean of the sample is 0.13 hours.

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