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30 votes
30 votes
b. A weight of pounds corresponds to the 5th percentile for newborn hippos.(Round to the nearest integer as needed.)

b. A weight of pounds corresponds to the 5th percentile for newborn hippos.(Round-example-1
User Jithesh Jose
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2.7k points

1 Answer

19 votes
19 votes

z=(x-\mu)/(\sigma)

Solve x in the formula above:


\begin{gathered} z\sigma=x-\mu \\ \\ x=z\sigma+\mu \end{gathered}

To find the value (x) corresponding to the 5th percentile:

1. Use a z-table to find the z corresponding to 5th percentile (0.05)

2. Evaluate the formula of x with the next data:


\begin{gathered} z=-1.64 \\ \mu=84 \\ \sigma=12 \end{gathered}
\begin{gathered} x=(-1.64)(12)+84 \\ x=-19.68+84 \\ x=64.32 \end{gathered}Then, A weight of 64 pounds corresponds to the 5th percentile for newborn hippos
b. A weight of pounds corresponds to the 5th percentile for newborn hippos.(Round-example-1
User Petr Broz
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2.9k points