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Answer :
Final answer:
(a) A horse with a weight of 1363 pounds is approximately 2.63 standard deviations from the mean.
(b) A horse with a weight of 1363 pounds is more unusual compared to a horse with a weight of 976 pounds.
To find how many standard deviations a weight is from the mean, subtract the mean from the weight and divide by the standard deviation.
Explanation:
(a) To determine how many standard deviations a horse's weight of 1363 pounds is from the mean, subtract the mean from the horse's weight and then divide by the standard deviation. Calculation: (1363 - 1109) / 99 = 2.63 standard deviations. Therefore, a horse with a weight of 1363 pounds is approximately 2.63 standard deviations from the mean.
(b) To determine which horse's weight is more unusual, we need to compare how many standard deviations each weight is from the mean. Calculation: (1363 - 1109) / 99 = 2.63 standard deviations for 1363 pounds and (976 - 1109) / 99 = -1.34 standard deviations for 976 pounds. Since 2.63 > -1.34, a horse with a weight of 1363 pounds is more unusual compared to a horse with a weight of 976 pounds.
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