(d) Find the sample size necessary for an 80% confidence level with a maximal margin of error $E = 0.11$ for the mean weights of the hummingbirds. Recall that the formula for finding the sample size $n$ is $$n = \left( \frac{z_\alpha \sigma}{E} \right)^2$$ where $E$ is the specified maximal margin of error. Use the formula above to find the sample size $n$. $$n = \left( \frac{1.28 \cdot 0.35}{0.11} \right)^2$$
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Step 1: We are given the formula for the sample size $n$: $$n = \left( \frac{z_\alpha \sigma}{E} \right)^2$$ where $z_\alpha$ is the critical value from the normal distribution for the desired confidence level, $\sigma$ is the population standard deviation, and $E$ Show more…
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