Question

points BBUnderStat12 105 Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This roblem concerns the length of the se al af ire part covering hem different species of wild iris. Data are based on information taken from an artidle by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (t), Iris versicolor (11), and iris virginica (III) are as follows below 5.5 4.8 5.4 5.4 4.5 5.7 5.5 5.6 6.8 6.8 4.5 5.2 6.4 5.2 6.3 6.8 5.9 4.3 7.3 5.7 6.5 shall wo reject or not reject the claim that there are no differences among the population means of sepal length for the different species of in use a 5% level of tiginoan (a) What is the level of significance? State the nul and alternate hypotheses H.: μ.-», " μ3; Ha: Exactly two means are equal He* a, m μ;" #1; HI . All three means are different. 0 H. μ.-», " μ); H. : Not all the means are equal. 0 H.: μ.-M1 " μ ,1 Hz : At least two means are equal, (b) Find 38on 88 em and 98 and check that 88or 558 (Use 3 decimal places) 57 Find d.f ㅲ d.fw MSBET, and MSW" (use 4 decimal places for MSsm and MS..) MSw Find the value of the sample F statistic. (Use 2 decimal places.) What are the degrees of freedom? (numerator) (denominator) (c) Find the P-value of the sample test statistic. O 0.050

Answer 1

rom -the given -ta ble we take x,-1 X3 11) X1 5.5 4.8 11-9 4-5 G-5 เจ. Q IS.39 18.6 6.8 s.9 6.83 y.S S구 s. S 6.3 6. 3 120-09 n28 n, 6 585 G 0833 5.259 94-Go รั่= (2.x;--@siyh )ơ.18ๆ О.귀8 1-1os h:-1

r 36-Eh · 5.25จา 468545 3 36.S G 0833 36 8 2 089 Totals 12b-0 d1 mian Ayo ro bales LAL

ween 2 3-1 21-3 IS dihd 1490 o138 0.98 2.426 6.0633 1105 Total

sse 1-535 :2.4 26 +11-55 14-DD th) ss妣"14.co1 Ss SSB lore. 242% , 1.215

0-64 30 1- De nominato LC P value mpletes satihic P-valua : 009) Since pe p value is qreater than e uvel 4 signifi cance at 0S we de ned e c Ss wi thin Tota 14-001 20