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Use the Frequency Distribution to Find the Mean and the Sample

Question 82

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.    Life of bulb (hours)   Frequency t0999.5103999.51,999.54761,999.52,999.52,0622,999.53,999.54,1293,999.54,999.52,4604,999.55,999.54215,999.56,999.5146\begin{array}{|ll|}\hline \text { Life of bulb (hours) } & \text { Frequency t} \\\hline 0-999 . 5 & 103 \\999.5-1,999.5 & 476 \\1,999.5-2,999.5 & 2,062 \\2,999.5-3,999.5 & 4,129 \\3,999.5-4,999.5 & 2,460 \\4,999.5-5,999.5 & 421 \\5,999.5-6,999.5 & 146 \\\hline\end{array}


A) The mean is 3,546 hours. The sample standard deviation is 1,018 hours. The data forms a normal distribution.
B) The mean is 3,523 hours. The sample standard deviation is 1,017 hours. The data forms a normal distribution.
C) The mean is 3,546 hours. The sample standard deviation is 1,018 hours. The data doesn't form a normal distribution.
D) The mean is 3,542 hours. The sample standard deviation is 1,027 hours. The data forms a normal distribution.
E) The mean is 3,523 hours. The sample standard deviation is 1,017 hours. The data doesn't form a normal distribution.

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