Question

47 Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. 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 sampl 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.) Calculate the standard error of the mean of the sample.

Answer 1

Take into account that the standard error, for a normal distribution, is given by the following expression:

$SE=\frac{\sigma}{\sqrt[\placeholder{⬚}]{n}}$

where,

σ: standard deviation = 0.75

n: sample = 35

By replacing the previous values into the formula for SE, you get:

$SE=\frac{0.75}{\sqrt[\placeholder{⬚}]{35}}\approx0.13$

Hence, the standard error is approximately 0.13