QUESTION FOUR Suppose that a random sample of n = 5 was selected from the vineyard properties for sale in Sonoma County, California, in each of three years. The following data are consistent with summary information on price per acre for disease-resistant grape vineyards in Sonoma County. Carry out an ANOVA to determine whether there is evidence to support the claim that the mean price per acre for vineyard land in Sonoma County was not the same for each of the three years considered. 1996: 30000 34000 36000 38000 40000 1997: 30000 35000 37000 38000 40000 1998: 40000 41000 43000 44000 50000 Source Variation of Sums of Squares df Mean Squares F Factors Treatment or **** *** ****** Error Total *** *** *** *** *** a. Define the null and alternative hypothesis for the ANOVA model. [2 marks] b. Calculate the missing values for the ANOVA table above. [11 marks] c. What is your conclusion for the ANOVA results? [2 marks]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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QUESTION FOUR
Suppose that a random sample of n = 5 was selected from the vineyard properties for sale in Sonoma
County, California, in each of three years. The following data are consistent with summary information
on price per acre for disease-resistant grape vineyards in Sonoma County. Carry out an ANOVA to
determine whether there is evidence to support the claim that the mean price per acre for vineyard land
in Sonoma County was not the same for each of the three years considered.
1996: 30000 34000 36000 38000 40000
1997: 30000 35000 37000 38000 40000
1998: 40000 41000 43000 44000 50000
Source
Variation
of Sums of Squares df
Mean Squares
F
Factors
Treatment
or
****
***
******
Error
Total
***
***
***
***
***
a. Define the null and alternative hypothesis for the ANOVA model. [2 marks]
b. Calculate the missing values for the ANOVA table above. [11 marks]
c. What is your conclusion for the ANOVA results? [2 marks]
Transcribed Image Text:QUESTION FOUR Suppose that a random sample of n = 5 was selected from the vineyard properties for sale in Sonoma County, California, in each of three years. The following data are consistent with summary information on price per acre for disease-resistant grape vineyards in Sonoma County. Carry out an ANOVA to determine whether there is evidence to support the claim that the mean price per acre for vineyard land in Sonoma County was not the same for each of the three years considered. 1996: 30000 34000 36000 38000 40000 1997: 30000 35000 37000 38000 40000 1998: 40000 41000 43000 44000 50000 Source Variation of Sums of Squares df Mean Squares F Factors Treatment or **** *** ****** Error Total *** *** *** *** *** a. Define the null and alternative hypothesis for the ANOVA model. [2 marks] b. Calculate the missing values for the ANOVA table above. [11 marks] c. What is your conclusion for the ANOVA results? [2 marks]
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