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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.)

Verified Answer :

LammettHash

\(\dfrac\sigma{\sqrt n}=\dfrac{0.75}{\sqrt{35}}\approx0.13\)

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,

\(SE=\dfrac{Standard\ Deviation}{\sqrt{Total\ sample}}\\\\SE=\dfrac{\sigma}{\sqrt{n}}\)

Thus, the standard error for the given sample is,

\(SE=\dfrac{0.75}{\sqrt{35}}=\dfrac{0.75}{5.92}=0.13\)

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

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