The data in the accompanying table represent the number of com plants in randomly sampled rows (a 17-foot by 5-inch stri

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The data in the accompanying table represent the number of com plants in randomly sampled rows (a 17-foot by 5-inch strip) for various types of plots. An agricultural researcher wants to know whether the mean numbers of plants for each plot type are equal. Complete parts (a) through (e) below Click the icon to view the data table Click the icon to view the table of critical values for the correlation coefficient (a) Write the null and alternative hypotheses. Choose the correct answer below. O A. Ho at least one of the means is different and Hi Msudge = Hispring="no all OB. Ho: skadoo = Hepring = Hno so and Hy at least one of the means is different OC. Ho Hakudge = Hispring = Hoo and Hy studoje "Pspring Hot OD. Ho shudge = Hispring and H, the means are different (b) State the requirements that must be satisfied to use the one-way ANOVA procedure. Select all that apply O A There must be k simple random samples, each from the same population B. The k samples must be independent of each other. C. The populations must be normally distributed D. The populations must have the same mean DE E. The populations must have the same vanance. F. There must be k simple random samples, one from each of k populations

Corn Plants No Till Sludge Spring Disk Plot 25 33 30 28 32 30 33 26 29 35 30 29 33 25 34 26 32 29

Sample Size, n Critical Value 5 0.880 6 0.888 7 0.898 8 0.906 9 0.912 10 0.918 0.923 12 0.928 13 0.932 14 0.935 15 0.939 16 0.941 17 0.944 18 0.946 19 0.949 20 0.951 21 0.952 22 0.964 23 0.956 24 0.957 25 0.959 30 0.960

F P (c) Use the following one-way ANOVA table to test the hypothesis of equal means at the a= 0.05 level of significance One-way ANOVA: Sludge Plot Spring Disk, No Till Source DF SS MS Factor 2 75.44 37.72 6.32 0.01 5.97 Total 17 164 94 Error 15 89.5 Should the null hypothesis be rejected? Hi there is evidence to conclude that the mean numbers of plants for each plot type are not equal (d) Shown are side by side boxplots of each type of plot. Do these boxplots support the results obtained in part (c)? Choose the correct answer below. No T O A Yes, because the boxplots show that at least one of the means is significantly different Spring Dek OB Yes, because the boxplots show that the means are not significantly different Sludge Plot OC: No, because the boxplots show that all of the means are significantly different 25 Number of plants OD. No, because the boxplots do not show that at least one of the means is significantly different 35

Probability Plot (eVerity that the residuals are normally distributed The normal probability plot and linear correlation coefficient, , is shown on the night How does the normal probability plot of the residuals show that the residuals are normally distributed? 000 417 483 Residuals 0.983 O A. The plot is linear enough, becauser is greater than the critical value OB. The plot is not linear rough, becauser is less than the critical value OC. The plot is not linear enough, because ris greater than the critical value OD. The plot is linear enough, because is less than the critical value O E. There is at least one outlet

Probability Plot 37 va gh : . . 4.83 -4.17 Residuals Proba