Question

to compare 6 varieties of potatoes, an experiment was conducted by assigning each of the 6 varieties at random to equal size plots at each of 9 different soil types. the variable of interest is the size of the potatoes at the end of the growing season (in mm). The resulting randomized block design ANOVA is

a) calculate the missing values in the table.

source | d.f | sum of squares | mean square | f-statistic |

C: potatoes | ? | 356.25 | ? | Fc*= ? |

R: soil type | 8 | 412 | ? | Fr*= 2.06 |

Error | ? | ? | ? | |

Total | ? |

b) for each of the next two questions, state H0 and Ha and use the p-value method to make your decision and draw your conclusions at the 5% level of significance

1. are there significant differences between the varieties of potatoes?

2. are there significant differences between the different soil types?

Answer #1

a) From the given data

b) H0: There is no significant differences between the varieties of potatoes

H1: At least two varieties of potatoes are different

Test Statistic F - Ratio = 2.85

P-value = 0.0271

since P-value < alpha 0.05 so we reject H0

Thus we conclude that At least two varieties of potatoes are different

again

H0: There is no significant differences between the different soil types

H1: At least two different soil types are different

Test Statistic F - Ratio = 2.06

P-value =0.0635

since P-value > alpha 0.05 so we do not reject H0

Thus we conclude that there is no significant differences between the different soil types

An ANOVA test is conducted to compare three different income tax
software packages to determine whether there is any difference in
the average time it takes to prepare income tax returns using the
three different software packages. Ten different individuals'
income tax returns are done by each of the three software packages
and the time is recorded for each. Because individual tax returns
are different the analysis has decided to block on individual
returns. The computer results are shown below....

Use the following information to answer questions
11-13
An ANOVA test is conducted to compare three different income tax
software packages to determine whether there is any difference in
the average time it takes to prepare income tax returns using the
three different software packages. Ten different individuals'
income tax returns are done by each of the three software packages
and the time is recorded for each. Because individual tax returns
are different the analysis has decided to block on...

Rothamsted Experimental Station (England) has studied wheat
production since 1852. Each year, many small plots of equal size
but different soil/fertilizer conditions are planted with wheat. At
the end of the growing season, the yield (in pounds) of the wheat
on the plot is measured. For a random sample of years, one plot
gave the following annual wheat production (in pounds).
4.11
3.72
4.02
3.96
3.81
3.79
4.09
4.42
3.89
3.87
4.12
3.09
4.86
2.90
5.01
3.39
Use a calculator...

Rothamsted Experimental Station (England) has studied wheat
production since 1852. Each year, many small plots of equal size
but different soil/fertilizer conditions are planted with wheat. At
the end of the growing season, the yield (in pounds) of the wheat
on the plot is measured. For a random sample of years, one plot
gave the following annual wheat production (in pounds).
3.69
3.72
4.17
4.14
3.69
3.79
4.09
4.42
3.89
3.87
4.12
3.09
4.86
2.90
5.01
3.39
Use a calculator...

Rothamsted Experimental Station (England) has studied wheat
production since 1852. Each year, many small plots of equal size
but different soil/fertilizer conditions are planted with wheat. At
the end of the growing season, the yield (in pounds) of the wheat
on the plot is measured. For a random sample of years, one plot
gave the following annual wheat production (in pounds).
4.11
3.84
3.96
4.02
4.11
3.79
4.09
4.42
3.89
3.87
4.12
3.09
4.86
2.90
5.01
3.39
Use a calculator...

Rothamsted Experimental Station (England) has studied wheat
production since 1852. Each year, many small plots of equal size
but different soil/fertilizer conditions are planted with wheat. At
the end of the growing season, the yield (in pounds) of the wheat
on the plot is measured. For a random sample of years, one plot
gave the following annual wheat production (in pounds).
3.99
3.63
3.69
3.60
3.75
3.79
4.09
4.42
3.89
3.87
4.12
3.09
4.86
2.90
5.01
3.39
Use a calculator...

Rothamsted Experimental Station (England) has studied wheat
production since 1852. Each year, many small plots of equal size
but different soil/fertilizer conditions are planted with wheat. At
the end of the growing season, the yield (in pounds) of the wheat
on the plot is measured. For a random sample of years, one plot
gave the following annual wheat production (in pounds).
3.87
4.08
3.60
3.84
3.81
3.79
4.09
4.42
3.89
3.87
4.12
3.09
4.86
2.90
5.01
3.39
Use a calculator...

Rothamsted Experimental Station (England) has studied wheat
production since 1852. Each year, many small plots of equal size
but different soil/fertilizer conditions are planted with wheat. At
the end of the growing season, the yield (in pounds) of the wheat
on the plot is measured. For a random sample of years, one plot
gave the following annual wheat production (in pounds).
4.02
4.02
4.17
4.20
3.63
3.79
4.09
4.42
3.89
3.87
4.12
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Use a calculator...

When is a hypothesis considered scientific?
a. when it is based on something other than observation
b. when it can be tested and is refutable
c. when it relies on anecdotal evidence
d. when it relies on mystical explanations
e. All hypotheses are considered scientific until experiments
determine otherwise.
3.
Of the following, which is the earliest step in the scientific
process?
a. generating a hypothesis
b. analyzing data
c. conducting an experiment
d. drawing a conclusion
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