Question

3.113 ㅢ13 points DevoreStat9 10 E006 The following data was reported on total Fe for four types of iron formation (1 carbonate, 2 silicate, 3 magnetite, 4 hematite) 1: 21.1 28.1 27.8 27.0 27.7 25.2 25.3 27.1 20.5 31.6 2: 26.5 24.0 26.2 20.2 24.2 34.0 17.1 26.8 23.7 25.2 3: 30.4 34.0 27.5 29.4 28.4 26.2 29.9 29.5 30.0 35.5 4: 36.4 44.2 34.1 30.3 32.1 33.1 34.1 32.9 36.3 25.6 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. Ha: at least two us are equal Hai all four μ,'s are equal H : at least two μ's are unequal @ Ho' μι-μ2-Hy-μ4 Ha: all four μ's are unequal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Sum of Mean Squares Squares df Source Treatments Error Total Give the test statistic. (Round your answer to two decimal places.)

Answer 1

a)

Ho: µ1 =µ2=µ3=µ4

H1: at two two µi's are unequal

answer option c)

b)

excel o/p for one way anova using data analysis tool

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
1	10	261.4	26.14	11.03378
2	10	247.9	24.79	19.58989
3	10	300.8	30.08	7.801778
4	10	339.1	33.91	22.76767
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	508.87	3	169.62	11.09	0.00	4.38
Within Groups	550.74	36	15.30
Total	1059.60	39

F-stat = 11.09

p-value<0.01