use the information in the table to answer the question. species mean standard deviation goldfish 7 inches…

use the information in the table to answer the question. species mean standard deviation goldfish 7 inches 1.2 inches what percentage of goldfish will have lengths between 4.6 inches and 9.4 inches? 34% 68% 95% 99.7% done

use the information in the table to answer the question. species mean standard deviation goldfish 7 inches 1.2 inches what percentage of goldfish will have lengths between 4.6 inches and 9.4 inches? 34% 68% 95% 99.7% done

Answer

Explanation:

Step1: Calculate z - scores

For $x = 4.6$, $z_1=\frac{4.6 - 7}{1.2}=\frac{- 2.4}{1.2}=- 2$. For $x = 9.4$, $z_2=\frac{9.4 - 7}{1.2}=\frac{2.4}{1.2}=2$.

Step2: Use empirical rule

The empirical rule for a normal - distribution states that approximately 95% of the data lies within $z=-2$ and $z = 2$.

Answer:

95%