Use the Frequency Distribution to Find the Mean and the Sample

question 33

Multiple Choice

Use the frequency distribution to find the mean and the sample standard deviation. Does the data form a normal distribution? Remember: if the data fall within 2% of the empirical rule of 68%, 95%, and 99.7% for one, two, or three standard deviations, respectively, they form a normal distribution.   $\begin{array} { | l | l | } \hline \text { Shipment time (hours) } & \text { Frequency } f \\\hline 23.5 - 28.5 & 19 \\\hline 28.5 - 33.5 & 417 \\\hline 33.5 - 38.5 & 789 \\\hline 38.5 - 43.5 & 698 \\\hline 43.5 - 48.5 & 504 \\\hline 48.5 - 53.5 & 42 \\\hline\end{array}$

• A) The mean is 45 hours. The sample standard deviation is 5 hours. The data doesn't form a normal distribution.
• B) The mean is 39 hours. The sample standard deviation is 5 hours. The data doesn't form a normal distribution.
• C) The mean is 39 hours. The sample standard deviation is 5 hours. The data forms a normal distribution.
• D) The mean is 35 hours. The sample standard deviation is 5 hours. The data doesn't form a normal distribution.
• E) The mean is 45 hours. The sample standard deviation is 5 hours. The data forms a normal distribution.

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