# [Reund all Intermediate calculatlene be at least 4 decimal places} The fellmving output summarizes a pertien at the results for a tiers-way analysis…

[Reund all Intermediate calculatlene be at least 4 decimal places} The fellmving output summarizes a pertien at the results for a tiers-way analysis….

(Round all intermediate calculations to at least 4 decimal places.)

The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor A consists of four different kinds of organic fertilizers, factor B consists of three different kinds of soil acidity levels, and the variable measured is the height (in inches) of a plant at the end of four weeks.

a.Find the missing values in the ANOVA table. (Round your answers to 2 decimal places.)

ANOVA        Source of Variation SSdf   MS   Fp-valueF crit  Rows0.88   2  MSB =   FFactor B =   0.7456   3.463     Columns40.43   3  MSA =   FFactor A =   0.0109   3.289     Error8.56   6  MSE =             Total49.87   11

b.At the 10% significance level, can you conclude that average growth of the plant differs by organic fertilizer?

Yes since the p-value for Factor A is less than α.Yes since the p-value for Factor A is greater than α.No since the p-value for Factor A is less than α.No since the p-value for Factor A is greater than α.

c.At the 10% significance level, can you conclude that the average growth of the plant differs by acidity level?

Yes since the p-value for Factor B is less than α.Yes since the p-value for Factor B is greater than α.No since the p-value for Factor B is less than α.No since the p-value for Factor B is greater than α.

[Reund all Intermediate calculatlene be at least 4 decimal places} The fellmving output summarizes a pertien at the results for a tiers-way analysis at variance experiment withno interaction. Factor A consists at four different kinds of organic fertilizers, factclr 3 consists of “treediﬁ’erent kinds of soil acidity.r levelsI and me variable measured is the height ljn inches} of a plant at the endat four weeks. a. Find the missing values In the AHDVA tabla. [Reund ynur answers to 2 decimal places.] msotooo one-Hm ss er us _ F. . p-vtiue Fat-lt-Flc-tvs 3.3.3 3 use = __ _[ Fpﬁm 3 = | _| 3.3453 3.433Columns 43.43 3 use a I’ &quot;I 5:55” A =- l’ &quot; 3.3133 3.233Errcr 8.56 E MSE = | Total 43.3? 11 l— b. At the 10% signiﬁcance level, can you mrldmle mat average gretvtl’t at the plant differs by ctganictertllizier’? ‘F‘ Yes. since the p-valua {or Facterﬁt is less than tr. ‘ﬁ Yes. since the Itzl-itralue for Facterﬁt Is greater than tr.&quot;K Na. since the p-value for FacterA is less than cr. &quot;H“ No. since the p-value for FacterA is greater than tr. 1:. A1 the 10% signiﬁcance level. can van conclude that the average 9mm of lite giant diﬁers bv aciditylevel? &quot;“ Yes.sincethep-valueforFacl;erBtsl-aes Inan o. &quot;ﬂ Yes. since the p-value {or Factor B is greater than EI’.-‘“‘ No. since the p-valua tor Footor Bis less than o. ‘E No. since the p-valua fer Factor E is greater than EI’.

[Reund all Intermediate calculatlene be at least 4 decimal places} The fellmving output summarizes a pertien at the results for a tiers-way analysis…