Answer:
According with the normal distribution, the ranges of horn lengths for the middle 95% of texas longhorn cattle is [ 51 inches, 69 inches ]
Step-by-step explanation:
Horn lengths of texas longhorn cattle are normally distributed
The mean horn spread: μ = 60 inches
With a standard deviation: σ = 4.5 inches
According with the normal distribution the range for the middle 95% of the values is: [ μ - 2σ, μ + 2σ ]
Replacing the given values:
[ 60 inches - 2(4.5 inches), 60 inches + 2(4.5 inches) ]
[ 60 inches - 9 inches, 60 inches + 9 inches ]
[ 51 inches, 69 inches ]
