1 A study is made of the effect of curing temperature on the

1. A study is made of the effect of curing temperature on the compressive strength of a certain type of concrete. Five concrete specimens are cured at each of four temperatures, and the compressive strength of each specimen is measured (in MPa). The results are as follows:

a) Construct an ANOVA table. You may give a range for the P-value. Show all steps.

b) What are the hypotheses for testing the equality of means? Show all steps.

c) What is the test statistic? Show all steps.

d) What is the Critical Value, what is the P-value? Show all steps.

e) Can you conclude that the mean strength differs with temperature? Show all steps.

f) Construct 95% pair-wise confidence Intervals using FIsher’s LSD to compare the mean strengths between the different temperature groups. Additionally, find the P-values for the corresponding hypothesis tests, that test for the equality of the two means in each pair of groups. Show all steps.

g) Construct 95% pair-wise confidence Intervals using Bonferroni’s Method to compare the mean strengths between the different temperature groups. Additionally, find the P-values for the corresponding hypothesis tests, that test for the equality of the two means in each pair of groups. Show all steps.

h) Construct 95% pair-wise confidence Intervals using Tukey-Kramer’s method to compare the mean strengths between the different temperature groups. Additionally, find the P-values for the corresponding hypothesis tests, that test for the equality of the two means in each pair of groups. Show all steps.

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