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One of the steps involved in the processing of corn flakes for cereals involves toasting the flakes. The accompanying table contains data for corn flakes
One of the steps involved in the processing of corn flakes for cereals involves toasting the flakes. The accompanying table contains data for corn flakes thickness in millimeters for four different toasting times in seconds. Complete parts (a) through (d) below. Click here to view the data on corn flake thickness. Click here to view a partial table of critical values of the Studentized Range, Q. a. At the 0.05 level of significance, is there evidence of a difference in the mean thickness of the corn flakes for the different toasting times? Determine the hypotheses. Choose the correct answer below. O A. Ho. My = H2= . . . = H4 OB. Ho: Hy = H2= . . . = H3 Hy: Not all uj are equal (where j = 1,2,...,4) Hy: Not all uj are equal (where j = 1,2,..,3) O C. Ho: My = H2= . . . = H4 OD. Ho: Hy = H2= . . . = H3 Hy: Hy # H2 # . . . # H4 Hy: Hy # H2 # . . . # H3 Perform a one-way ANOVA. Find the test statistic. FSTAT = (Type an integer or decimal rounded to two decimal places as needed.) Determine the p-value. p-value = (Type an integer or decimal rounded to three decimal places as needed.) Use the results obtained in the previous steps to make a conclusion about the null hypothesis. Ho. There is evidence of a difference in the mean thickness of the corn flakes for the different toasting times.h. If appropriate. determine which toasting times differ in mean thickness. Use a table of critical values of the Studentized range to nd 0\" for u = 0.05. Select the correct choice below and. if necessary. ll in the answer box to complete your choice. O A- 00.05 = (Type an integer or a decimal rounded to two decimal places as needed.) O B. It is not appropriate to test which toasting times differ in mean thickness Which toasting times differ in mean thickness? Select all that apply. The 40 sec and 80 sec toasting times differ in mean thickness. The 20 sec and 60 sec toasting times differ in mean thickness. The 40 sec and 60 sec toasting times differ in mean thickness. The 20 sec and 30 sec toasting times differ in mean thickness. 99F? E. The 60 sec and 30 sec toasting times differ in mean thickness. F. The 20 sec and 40 sec toasting times differ in mean thickness. G. It is not appropriate to test which toasting times differ in mean thickness c. At the 0.05 level of significance, is there evidence of a difference in the variation in the mean thickness of the corn flakes? Determine the hypotheses. Choose the correct answer below. O A. Ho: 02 =02=. ..=03 OB. Ho: 02 =03=. . .=02 H,: Not all of are equal (where j = 1,2,...,3) H,: Not all of are equal (where j = 1,2,...,4) O C. Ho: 02 = 03 =. . . =05 OD. Ho: 02 = 02 2=...=04 Perform a modified Levene (or Brown-Forsythe) test for homogeneity of variance. Find the test statistic. FSTAT = (Type an integer or decimal rounded to two decimal places as needed.) Determine the p-value. p-value = (Type an integer or decimal rounded to three decimal places as needed.) Use the results obtained in the previous steps to make a conclusion about the null hypothesis. Ho. There is evidence of a difference in the variation of the mean thickness of the corn flakes for the different toasting times.d. Based on the results from part (c), which toasting times differ in thickness of the corn flakes? Explain. Select all that apply. A. The 20 sec and 80 sec toasting times differ in mean thickness. B. The 40 sec and 80 sec toasting times differ in mean thickness. ) C. The 20 sec and 40 sec toasting times differ in mean thickness. ) D. The 60 sec and 80 sec toasting times differ in mean thickness. E. The 20 sec and 60 sec toasting times differ in mean thickness. OF. The 40 sec and 60 sec toasting times differ in mean thickness. G. None of the toasting times differ in mean thickness because none of the absolute mean differences are larger than the critical value. OH. There is insufficient evidence of a difference in the mean thickness of the corn flakes because the null hypothesis was not rejected.30 2.89 3.49 3.85 4.10 4.30 4.46 4.60 4.72 4.82 40 2.86 3.44 3.79 4.04 4.23 4.39 4.52 4.64 4.74 60 2.83 3.40 3.74 3.98 4.16 4.31 444 4.55 4.65 20 2.80 3.36 3.69 3.92 4.10 4.24 4.36 4.47 456 2.77 3.31 3.63 3.86 4.03 4.17 4.29 4.39 4.47
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