Statistics Quest

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Challenge, difficulty 3 of 3

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A company's commute times have mean 29 minutes and standard deviation 17 minutes.

(a) Roadworks add exactly 6 minutes to every employee's commute. What is the new standard deviation, in minutes?

(b) Going back to the original times, an analyst converts them to hours. What is the variance in hours²? Give it to 4 decimal places.