A summer intern at the Lego factory in Billund, Denmark, samples 41 yellow bricks and 35 red bricks and measures their weight. The sample means are 4.1 grams for yellow bricks and 4.2 grams for red bricks. The sample standard deviations are 0.15 grams for yellow bricks and 0.23 grams for red bricks, respectively.1. **Confidence Interval for Mean Weight of Red Bricks:** - **Lower Bound:** 4.156 grams - **Upper Bound:** 4.244 grams2. **Confidence Interval for the Difference in Mean Weights (Red Minus Yellow):** - **Lower Bound:** 4.09986 grams - **Upper Bound:** 4.20014 grams - **Hint:** Compute the degrees of freedom using Equation 5.20 in Chapter 5.6.3. **Confidence Interval for the Variance of Weight for Yellow Bricks:** - **Lower Bound:** 4.12305 - **Upper Bound:** 4.17695These intervals estimate the range within which the true mean or variance is expected to lie with 75% confidence.

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Answered: A summer intern at the Lego factory in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A small university is trying to monitor its electricity usage. For a random sample of 30 weekend days (Saturdays and Sundays), the student center used an average of 94.26 kilowatt hours (kWh) with standard deviation 43.29. For a random sample of 60 weekdays, (Monday - Friday), the student center used an average of 112.63 kWh with standard deviation 32.07. Construct a 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days. Use two decimal places in your margin of error. -6.80 to 43.54 kWh -4.61 to 41.35 kWh -3.38 to 40.51 kWh 0.12 to 36.62 kWh
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