use the information in the table to answer the question.\nspecies mean standard deviation\ngoldfish 7 inches…

use the information in the table to answer the question.\nspecies mean standard deviation\ngoldfish 7 inches 1.2 inches\nwhat percentage of goldfish will have lengths between 4.6 inches and 9.4 inches?\n34%\n68%\n95%\n99.7%\ndone

use the information in the table to answer the question.\nspecies mean standard deviation\ngoldfish 7 inches 1.2 inches\nwhat percentage of goldfish will have lengths between 4.6 inches and 9.4 inches?\n34%\n68%\n95%\n99.7%\ndone

Answer

Explanation:

Step1: Calculate the z - scores

For (x_1 = 4.6), (z_1=\frac{4.6 - 7}{1.2}=\frac{- 2.4}{1.2}=- 2). For (x_2 = 9.4), (z_2=\frac{9.4 - 7}{1.2}=\frac{2.4}{1.2}=2).

Step2: Use the empirical rule

The empirical rule for a normal distribution states that approximately 95% of the data lies within (z=-2) and (z = 2) standard - deviations of the mean.

Answer:

95%