An experiment was carried out

An experiment was carried out to compare electrical resistivity for six different low-permeability concrete bridge deck mixtures. There were 26 measurements on concrete cylinders for each mixture; these were obtained 28 days after casting. The entries in the accompanying ANOVA table are based on information in the article “In-Place Resistivity of Bridge Deck Concrete Mixtures” (ACI Materials J., 2009: 114–122). A partial ANOVA table for this data follows:

a. Fill in the missing entries in the ANOVA table.

b. State the null and alternative hypotheses of interest in this experiment.

c. Use   .05 to carry out the hypothesis test in part (b).

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An experiment was carried out

An experiment was carried out to compare various properties of cotton/polyester spun yarn finished with softener only and yarn finished with softener plus 5% DP-resin (“Properties of a Fabric Made with Tandem Spun Yarns,” Textile Res. J., 1996: 607– 611). One particularly important characteristic of fabric is its durability, that is, its ability to resist wear. For a sample of 40 softener-only specimens, the sample mean stoll-flex abrasion resistance (cycles) in the filling direction of the yarn was 3975.0, with a sample standard deviation of 245.1. Another sample of 40 softener-plus specimens gave a sample mean and sample standard deviation of 2795.0 and 293.7, respectively. Calculate a confidence interval with confidence level 99% for the difference between true average abrasion resistances for the two types of fabric. Does your interval provide convincing evidence that true average resistances differ for the two types of fabric? Why or why not?

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