Question

99.7% of students in a class of 100 weigh between 60 kg and 96 kg. Assuming...

99.7% of students in a class of 100 weigh between 60 kg and 96 kg. Assuming the data is normally distributed, what are the mean and the standard deviation?

A.

µ = 78kg; σ = 18kg

B.

µ = 78kg; σ = 9kg

C.

µ = 78kg; σ = 18kg

D.

µ = 78kg; σ = 6kg

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Answer #1

Solution :

Using Empirical rule,

P( - 3< X < + 3) = 99.7%

P(78 - 3 * 6 < X < 78 + 3 * 6) = 99.7%

P(60 < X < 96) = 99.7%

µ = 78 kg; σ = 6 kg

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