In: Statistics and Probability
Here is the dataset containing plant growth measurements of plants grown in solutions of commonly-found chemicals in roadway runoff.
Distilled H2O | Petro | NaCl | MgCl | NaCl + MgCl |
19.93 | 19.81 | 19.97 | 19.87 | 19.88 |
19.99 | 20.07 | 19.8 | 19.95 | 19.82 |
19.95 | 19.8 | 19.83 | 19.82 | 19.89 |
20.14 | 20.01 | 19.96 | 20.02 | 19.98 |
20.09 | 19.87 | 19.98 | 19.96 | 19.89 |
20.12 | 19.89 | 20.09 | 19.97 | 19.88 |
20.06 | 20.03 | 19.8 | 19.97 | 19.9 |
20.07 | 20.08 | 19.97 | 19.86 | 19.75 |
19.9 | 20.07 | 19.89 | 19.84 | 19.98 |
20.07 | 19.92 | 19.84 | 19.91 | 19.98 |
20.01 | 19.88 | 19.94 | 19.8 | 19.93 |
20 | 19.97 | 20.01 | 20.02 | 19.73 |
19.95 | 20.08 | 20 | 19.92 | 19.82 |
20.1 | 20 | 20.01 | 20.07 | 19.87 |
19.93 | 20.05 | 19.83 | 19.94 | 19.99 |
20.11 | 19.96 | 19.83 | 19.93 | 19.72 |
20.02 | 19.84 | 19.89 | 20.02 | 19.84 |
19.96 | 20.03 | 19.92 | 19.84 | 19.94 |
19.91 | 19.99 | 20.03 | 19.87 | 19.72 |
19.92 | 19.96 | 19.99 | 19.81 | 19.7 |
Phragmites australis, a fast-growing non-native grass
common to roadsides and disturbed wetlands of Tidewater Virginia,
was grown in a greenhouse and watered with either:
Distilled water (control);
A weak petroleum solution (representing standard
roadway runoff);
Sodium chloride solution;
Magnesium chloride solution;
De-icing brine (50% sodium chloride and 50%
magnesium chloride).
Twenty grass preparations were used for each solution, and total
growth (in cm) was recorded after watering every other day for 40
days.
-Perform the correct statistical test to determine the
p-value.
-Report your answer rounded to four decimal places.
-You should use formulas, functions, and the Data Analysis ToolPak
in MS Excel to avoid additive rounding errors. Here are some useful
functions:
=t.test(array1,array2,tails,type)
Produces a p-value for any type of a t-test from
a data set
=chidist(x,degrees of freedom)
Produces a p-value from a calculated chi-squared
statistic
ANOVA Single Factor from the data analysis tool pack
Performs a 1-way ANOVA on a data set with
only one factor
ANOVA 2-Factor from the data analysis tool pack
Performs an
ANOVA on data with multiple treatments
Regression from the data analysis tool pack
Performs a linear regression and the corresponding
t-test on the slope of the line