STATS HELP PLZ: It has been reported that the average monthly cell phone bill is $50. Assuming a normal distri?
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Answer:
$35 is 1.5σ less than μ and $70 is 2σ greater than μ. These multipliers are called Z-scores. Consult a table of the standard normal distribution to find the probabilities associated with Z-scores of - 1.5 and 2.0. From the table at http://www.math.unb.ca/~knight/utility/NormTble.htm....... P(bill < $35) = 1 - 0.9332 = 0.0668 = 6.7% (rounded) P(bill > $70) = 1 - 0.9772 = 2.3% (rounded)
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Other answers
$35 is 1.5σ less than μ and $70 is 2σ greater than μ. These multipliers are called Z-scores. Consult a table of the standard normal distribution to find the probabilities associated with Z-scores of - 1.5 and 2.0. From the table at http://www.math.unb.ca/~knight/utility/NormTble.htm....... P(bill < $35) = 1 - 0.9332 = 0.0668 = 6.7% (rounded) P(bill > $70) = 1 - 0.9772 = 2.3% (rounded)
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