A study is made of the effect of curing temperature on the compressive strength

Question

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: Assume equal variances and a=0.05. ANOVA analysis may be performed to check if the mean strength differs with temperature. Use 4DP for all your solutions H_0 and H_1 are stated as: H0: mu_1 = mu_2 = mu_3 = mu_4 H1: muj not all equal a. SSA=, SSW= b. MSA=, MSW= c F test statistic F_stat= d. Critical value F_a, df1, df2= e Decision: we (fill in the blank by should or should not) reject the null hypothesis.

Explanation / Answer

(A) SSA = 202.442, SSW = 18.076

(B) MSA = 67.4807, MSW = 1.1298

(C) F test statistics = 59.7306

(D) Critical value = 3.2389

(E) Decision: should reject null hypothesis.

Groups Count Sum Average Variance Temp 0 5 153 30.6 0.6 Temp 10 5 150.7 30.14 2.113 Temp 20 5 178.8 35.76 0.893 Temp 30 5 187.3 37.46 0.913

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