A study was conducted to determine whether a linear

Chapter 11, Problem 96SE

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A study was conducted to determine whether a linear relationship exists between the breaking strength y of wooden beams and the specific gravity x of the wood. Ten randomly selected beams of the same cross-sectional dimensions were stressed until they broke. The breaking strengths and the density of the wood are shown in the accompanying table for each of the ten beams.

a Fit the model \(Y=\beta_{0}+\beta_{1} x+\varepsilon\).

b Test \(H_{0}: \beta_{1}=0\) against the alternative hypothesis, \(H_{a}: \beta_{1}=0\).

c Estimate the mean strength for beams with specific gravity .590, using a 90% confidence interval.

Equation transcription:

Text transcription:

Y=beta{0}+beta{1} x+varepsilon

H{0}: beta{1}=0

H{a}: beta{1}=0

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