(Solved): The following data was reported on total Fe for four types of iron formation ( 1= carbonate, 2= si ...

The following data was reported on total Fe for four types of iron formation ( $1=$ carbonate, $2=$ silicate, $3=$ magnetite, $4=$ hematite) $\begin{array}{lllllllllll}\text{ 1: }& 20.8& 28.1& 27.8& 27.0& 28.1& 25.2& 25.3& 27.1& 20.5& 31.1\\ \text{ 2: }& 26.6& 24.0& 26.2& 20.2& 23.8& 34.0& 17.1& 26.8& 23.7& 24.7\\ \text{ 3: }& 29.7& 34.0& 27.5& 29.4& 27.8& 26.2& 29.9& 29.5& 30.0& 35.8\\ \text{ 4: }& 37.0& 44.2& 34.1& 30.3& 32.1& 33.1& 34.1& 32.9& 36.3& 25.4\end{array}$ Carry out an analysis of variance $F$ test at significance level 0.01 . State the appropriate hypotheses. $\begin{array}{l}{H}_0:{?}_1?={?}_2?={?}_3?={?}_4\\ H_a:\text{ all four }{?}_i^{?}\text{ s are equal }\\ H_0:{?}_1={?}_2={?}_3={?}_4\\ H_a:\text{ at least two }{?}_i^{?}\text{ s are unequal }\\ H_0:{?}_1?={?}_2?={?}_3?={?}_4\\ H_a:\text{ at least two }{?}_i^{?}\text{ are equal }\\ H_0:{?}_1={?}_2={?}_3={?}_4\\ H_a:\text{ all four }{?}_i^{?}\text{ s are unequal }\end{array}$ Summarize the results in an ANOVA table. (Round your answers two decimal places.) Give the test statistic. (Round your answer to two decimal places.) $f=$