Explore BrainMass

# Confidence Interval: Sampling Soybean Meal

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

A sampling of a lot of soybean meal gave the following composition for Lysine in (grams/kilogram):

22.2
24.8
24.7
26.5
20.9
23.8
26.0
25.6
27.0
23.9

Do the following:
a) Construct a 99% two sided confidence interval for (std. deviation)^2.
b) Calculate a 99% lower confidence bound for (std deviation)^2.
c) Calculate a 90% lower confidence bound for (std deviation).
d) Compare the intervals computed.

© BrainMass Inc. brainmass.com June 3, 2020, 9:38 pm ad1c9bdddf
https://brainmass.com/statistics/confidence-interval/confidence-interval-sampling-soybean-meal-192517

#### Solution Preview

(a) Variance for the given data = (sigma)^2 = 3.658
Standard error of (sigma)^2 = SE = (sigma)^2 * sqrt(2/n) = 3.658 * sqrt(2/10) = 1.636
The 99% CI for the variance = [variance - 2.576 * SE, ...

#### Solution Summary

In about 160 words, a neat, step-by-step solution is provided which outlines how to construct a two-sided confidence interval and lower confidence bound. All calculations are provided.

\$2.19