A summer intern at the Lego factory in Billund, Denmark, samples 41 yellow bricks and 35 red bricks and measures their weight. She finds sample means of 4.1 grams (yellow bricks) and 4.2 grams (red bricks), and sample standard deviations of 0.15 (yellow) and 0.23 (red), respectively. Compute the 75% confidence interval for the mean weight of red bricks. lower bound upper bound lower bound upper bound Compute the 75% confidence interval for the difference between the mean weights (i.e., red minus yellow). Hint: Compute the number of degrees of freedom, v, using Equation 5.20 in Chapter 5.6 4.156 lower bound 4.244 upper bound 4.09986 Compute the 75% confidence interval for the variance of the weight for the yellow bricks. 4.20014 4.12305 ? 4.17695 ? ? ? ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A summer intern at the Lego factory in Billund, Denmark,
samples 41 yellow bricks and 35 red bricks and measures their
weight. She finds sample means of 4.1 grams (yellow bricks) and
4.2 grams (red bricks), and sample standard deviations of 0.15
(yellow) and 0.23 (red), respectively.
Compute the 75% confidence interval for the mean weight of
red bricks.
lower bound 4.156
upper bound
lower bound
Compute the 75% confidence interval for the difference
between the mean weights (i.e., red minus yellow). Hint:
Compute the number of degrees of freedom, v, using Equation
5.20 in Chapter 5.6
upper bound
4.244
lower bound
upper bound
4.09986
Compute the 75% confidence interval for the variance of the
weight for the yellow bricks.
4.20014
4.12305
?
4.17695
?
?
?
?
Transcribed Image Text:A summer intern at the Lego factory in Billund, Denmark, samples 41 yellow bricks and 35 red bricks and measures their weight. She finds sample means of 4.1 grams (yellow bricks) and 4.2 grams (red bricks), and sample standard deviations of 0.15 (yellow) and 0.23 (red), respectively. Compute the 75% confidence interval for the mean weight of red bricks. lower bound 4.156 upper bound lower bound Compute the 75% confidence interval for the difference between the mean weights (i.e., red minus yellow). Hint: Compute the number of degrees of freedom, v, using Equation 5.20 in Chapter 5.6 upper bound 4.244 lower bound upper bound 4.09986 Compute the 75% confidence interval for the variance of the weight for the yellow bricks. 4.20014 4.12305 ? 4.17695 ? ? ? ?
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