Question

horn lengths of texas longhorn cattle are normally distributed. the mean horn spread is 60 inches with a standard deviation of 4.5 inches. calculate the range of horn lengths for the middle 68% of texas longhorn cattle. (1 point) 60 in. - 64.5 in. 55.5 in. - 64.5 in. 51 in. - 60 in. 51 in. - 69 in.

Explanation:

Step1: Recall 68-95-99.7 rule

For normal distribution, middle 68% is $\mu \pm \sigma$.

Step2: Identify $\mu$ and $\sigma$

$\mu = 60$ inches, $\sigma = 4.5$ inches.

Step3: Calculate lower bound

$60 - 4.5 = 55.5$ inches.

Step4: Calculate upper bound

$60 + 4.5 = 64.5$ inches.

Answer:

B. 55.5 in.–64.5 in.