Question

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Explanation:

Step1: Recall the formula for standard error of the mean

The formula for the standard error of the mean ($SE$) is $SE=\frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard deviation and $n$ is the sample size.

Step2: Identify the values of $\sigma$ and $n$

We are given that $\sigma = 0.75$ hours and $n = 35$.

Step3: Substitute the values into the formula

First, calculate $\sqrt{n}=\sqrt{35}\approx5.9161$. Then, $SE=\frac{0.75}{\sqrt{35}}=\frac{0.75}{5.9161}\approx0.1267$.

Step4: Round to the nearest hundredth

Rounding $0.1267$ to the nearest hundredth gives $0.13$.

Answer:

0.13