To assess the reliability of timber structures and related building design codes, many researchers have studied strength factors of structural lumber. In one such study, three species of Canadian softwood were analyzed for bending strength. Varying numbers of observations were made for each species. Assume all three populations are normally distributed with equal variances. The results are given here: Bending Strength (in MPa) Mean (in MPa) Douglas-Fir 75, 57, 51 61 Hem-Fir 45, 48, 33 42 Species Spruce Pine- 42, 39, 30, 33 37 Fir a) State the null and alternative hypotheses. b) Construct the appropriate ANOVA table. c) Use the ANOVA table from part b) to test whether there is a difference in the mean bending strengths among the three types of wood at the .05 level.

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To assess the reliability of timber structures and related building design codes, many
researchers have studied strength factors of structural lumber. In one such study, three
species of Canadian softwood were analyzed for bending strength. Varying numbers of
observations were made for each species. Assume all three populations are normally
distributed with equal variances. The results are given here:
Bending Strength (in MPa)
Mean (in MPа)
Douglas-Fir
75, 57, 51
61
Hem-Fir
45, 48, 33
42
Species
Spruce Pine-
42, 39, 30, 33
37
Fir
a) State the null and alternative hypotheses.
1
b) Construct the appropriate ANOVA table.
c) Use the ANOVA table from part b) to test whether there is a difference in the mean
bending strengths among the three types of wood at the .05 level.
Transcribed Image Text:To assess the reliability of timber structures and related building design codes, many researchers have studied strength factors of structural lumber. In one such study, three species of Canadian softwood were analyzed for bending strength. Varying numbers of observations were made for each species. Assume all three populations are normally distributed with equal variances. The results are given here: Bending Strength (in MPa) Mean (in MPа) Douglas-Fir 75, 57, 51 61 Hem-Fir 45, 48, 33 42 Species Spruce Pine- 42, 39, 30, 33 37 Fir a) State the null and alternative hypotheses. 1 b) Construct the appropriate ANOVA table. c) Use the ANOVA table from part b) to test whether there is a difference in the mean bending strengths among the three types of wood at the .05 level.
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