Adult female Dalmatians weigh an average of 50 pounds with a standard deviation of 3.3 pounds.Adult female Boxers weigh an average of 57.5 pounds with a standard deviation of 1.7 pounds.One statistics teacher owns an underweight Dalmatian and an underweight
Boxer.The Dalmatian weighs 45 pounds, and the Boxer weighs 52 pounds.Which dog is
More underweight?
A)The Boxer because it is 9.6% underweight.
B)The Dalmatian because it is 9.6% underweight.
C)The Boxer because it is 5.5 pounds underweight.
D)The Dalmatian because it is 5 pounds underweight.
E)The Boxer because it is 3.24 standard deviations underweight.

Question

Quizplus · Accepted Answer

To determine which dog is more underweight, we calculate how many standard deviations below the mean each dog's weight is. For the Dalmatian: $(50 - 45) / 3.3 = 1.52$ standard deviations underweight. For the Boxer: $(57.5 - 52) / 1.7 = 3.24$ standard deviations underweight. Thus, the Boxer is more underweight because it is 3.24 standard deviations below the mean, compared to the Dalmatian's 1.52.

Adult Female Dalmatians Weigh an Average of 50 Pounds with a Standard