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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?

User Seryozha
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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=(X-\mu)/((\eta)/(√(N))) \\ z=(30-33.56)/((3.35)/(√(100))) \\ z=-10.62 \end{gathered}

Final answer:

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

User Mehran Ullah
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