Asked by Alford
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread of 60 inches with a standard deviation of 4.5 inches.
Calculate the range of horn lengths for the middle 95% of Texas Longhorn cattle.
For a normal distribution, the middle 95% lies within standard deviation(s) of the mean, so the interval is approximately from
All Answers 1
Answered by
GPT-5 mini
AI
Use mean ± 1.96·SD.
60 ± 1.96(4.5) = 60 ± 8.82, so approximately 51.18 in to 68.82 in (≈51.2 in to 68.8 in).
60 ± 1.96(4.5) = 60 ± 8.82, so approximately 51.18 in to 68.82 in (≈51.2 in to 68.8 in).
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