The time it takes for climbers to reach the highest point of

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.)

Solution

Standard error = standard deviation / sqrt( sample size)

=> Standard error = 0.75/(sqrt35) = 0.126

Standard error when rounded off to to nearest hundredth = 0.13