Question

A man recorded the speeds of cars driving pas his house, where the speed limit was 30 mph. The mean of 100 readings was 33.56 mph with a standard deviation of 3.35 mph. A) How many standard deviations from the mean would a car be going the speed limit?

Answer 1

SOLUTION:

Case: Standard deviation

Given:

Mean(µ): 33.56 mph

Standard deviation(σ): 3.35 mph

Hence, the value of standard deviation, away from the mean is calculated by th

Calculation:

$\begin{gathered} z=\frac{X-\mu}{\frac{\eta}{\sqrt{N}}} \\ z=\frac{30-33.56}{\frac{3.35}{\sqrt{100}}} \\ z=-10.62 \end{gathered}$

Final answer:

A) There are about -10.62 values from the mean as standard deviation