Adult female Dalmatians have a mean weight of 50 lbs and a standard deviation of 3.3 lbs. Assume the weights are normally distributed. Find the weight of an adult female Dalmatian whose weight is 1.75 standard deviation above the mean weight. (Two decimal places)
Answers
Given : Adult female Dalmatians have a mean weight of 50 lbs and a standard deviation of 3.3 lbs.
the weights are normally distributed.
To Find : the weight of an adult female Dalmatian whose weight is 1.75 standard deviation above the mean weight.
Solution:
Mean = 50
SD = 3.3
Z score = ( Value - mean) /SD
Z score = 1.75 ( 1.75 standard deviation above the mean weight. )
=> 1.75 = ( Value - 50)/3.3
=> 5.775 = Value - 50
=> Value = 55.775
=> Value = 55.78
Hence the weight of an adult female Dalmatian whose weight is 1.75 standard deviation above the mean weight. is 55.78 lbs
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