A farmer is experimenting with three types of growing conditions for her sunflower farm. The first method does not usefertilizer, the second method uses fertilizer but not pesticides, and the third method uses fertilizer and pesticides. In tenplots of soil, she splits the plot into three parts and uses a different growing condition on each part, so N=30,n1=123DD3%3D10. The farmer measures the amount of output (pounds/plot) for each part of each plot and wants to completean ANOVA F-test to see if all of the plots have the same mean output. The following summary statistics are given:Method 1: x1=5.62, s1=0.89, n1-10Method 2: x2=6.39, s2=1.18, n2=10Method 3: x3=7.89, s3=0.82, n3=10Round all answers to three decimal places.(a) Compute the overall mean(b) Compute SSTR, SSE, and SST. SSTR =SSE =SST =(c) Compute MSTR and MSE. MSTR =MSE =(d) The F-test statistic is(e) Using the F-table, which of the following is true regarding the p-value?o 0.10 < p-value0.05 < p-value < 0.10o 0.025 < p-value < 0.05o 0.01 < p-value < 0.025o p-value < 0.01(f) What is the correct conclusion at a=0.05?O The farmer concludes that not all of the methods have the same population mean output.O The farmer fails to reject that all the methods have the same population mean output.

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A farmer is experimenting with three types of growing conditions for her sunflower farm. The first method does not use fertilizer, the second method uses fertilizer but not pesticides, and the third method uses fertilizer and pesticides. In ten plots of soil, she splits the plot into three parts and uses a different growing condition on each part, so N=30, n1=123D13%3D10. The farmer measures the amount of output (pounds/plot) for each part of each plot and wants to complete an ANOVA F-test to see if all of the plots have the same mean output. The following summary statistics are given: Method 1: x1=5.62, s1=0.89, n%=10 Method 2: x2=6.39, s2-1.18, n2=10 Method 3: x3=7.89, s3=0.82, n3=10 Round all answers to three decimal places. (a) Compute the overall mean (b) Compute SSTR, SSE, and SST. SSTR = SSE = SST = (c) Compute MSTR and MSE. MSTR = MSE = (d) The F-test statistic is (e) Using the F-table, which of the following is true regarding the p-value?

A farmer is experimenting with three types of growing conditions for her sunflower farm. The first method does not use fertilizer, the second method uses fertilizer but not pesticides, and the third method uses fertilizer and pesticides. In ten plots of soil, she splits the plot into three parts and uses a different growing condition on each part, so N=30, n1=123D13%3D10. The farmer measures the amount of output (pounds/plot) for each part of each plot and wants to complete an ANOVA F-test to see if all of the plots have the same mean output. The following summary statistics are given: Method 1: x1=5.62, s1=0.89, n%=10 Method 2: x2=6.39, s2-1.18, n2=10 Method 3: x3=7.89, s3=0.82, n3=10 Round all answers to three decimal places. (a) Compute the overall mean (b) Compute SSTR, SSE, and SST. SSTR = SSE = SST = (c) Compute MSTR and MSE. MSTR = MSE = (d) The F-test statistic is (e) Using the F-table, which of the following is true regarding the p-value?

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A farmer is experimenting with three types of growing conditions for her sunflower farm. The first method does not use
fertilizer, the second method uses fertilizer but not pesticides, and the third method uses fertilizer and pesticides. In ten
plots of soil, she splits the plot into three parts and uses a different growing condition on each part, so N=30,
n1=123DD3%3D10. The farmer measures the amount of output (pounds/plot) for each part of each plot and wants to complete
an ANOVA F-test to see if all of the plots have the same mean output. The following summary statistics are given:
Method 1: x1=5.62, s1=0.89, n1-10
Method 2: x2=6.39, s2=1.18, n2=10
Method 3: x3=7.89, s3=0.82, n3=10
Round all answers to three decimal places.
(a) Compute the overall mean
(b) Compute SSTR, SSE, and SST. SSTR =
SSE =
SST =
(c) Compute MSTR and MSE. MSTR =
MSE =
(d) The F-test statistic is
(e) Using the F-table, which of the following is true regarding the p-value?
o 0.10 < p-value
0.05 < p-value < 0.10
o 0.025 < p-value < 0.05
o 0.01 < p-value < 0.025
o p-value < 0.01
(f) What is the correct conclusion at a=0.05?
O The farmer concludes that not all of the methods have the same population mean output.
O The farmer fails to reject that all the methods have the same population mean output.

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