Answered: Suppose that a random sample of n = 5…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Hello,

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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.

In Excel, 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. Test at the 0.05 level and at the 0.01 level.

1996: 30000 34000 36000 38000 40000
1997: 30000 35000 37000 38000 40000
1998: 40000 41000 43000 44000 50000

I ran the ANOVA test in Excel but I am struggling to test at .05 and at the .01 level as well as making sure that the mean price per arce for vineyard land in Sonoma is not the same. The ANOVA test shows that it's not the same but I wanted to make sure.

Year
Price Per Acre
1996
30,000.00 $
34,000.00 $
36,000.00 $
38,000.00 $
40,000.00
1997
$
30,000.00 $
35,000.00 $
37,000.00 $
38.000.00
$
40,000.00
1998
40,000.00 $
41,000.00 $
43,000.00 $
44,000.00 $
50,000.00
Anova: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Row 1
178000
35600
14800000
Row 2
180000
36000
14500000
Row 3
218000
43600
15300000
ANOVA
Source of Variation
SS
df
MS
P-value
F crit
Between Groups
203200000
2
101600000
6.834080717
0.010440442
3.885293835
Within Groups
178400000
12
14866666.67
Total
381600000
14

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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