Here is the dataset containing plant growth measurements of plants grown in solutions of commonly-found chemicals...

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Here is the dataset containing plant growth measurements ofplants grown in solutions of commonly-found chemicals in roadwayrunoff. Researchers wish to determine roadway runoff with differentcompositions has a different effect on plant growth.

Phragmites australis, a fast-growing non-native grass common toroadsides and disturbed wetlands of Tidewater Virginia, was grownin a greenhouse and watered with one of the followingtreatments:

  • Distilled water (control);
  • A weak petroleum solution (representing standard roadwayrunoff);
  • Sodium chloride solution;
  • Magnesium chloride solution;
  • De-icing brine (50% sodium chloride and 50% magnesiumchloride).

Twenty grass preparations were used for each solution, and totalgrowth (in cm) was recorded after watering every other day for 40days.

1.) Perform the correct statistical test to determine thep-value.

  • Report your answer in scientific notation
    • e.g. 1.00E-04
Distilled H2OPetroNaClMgClNaCl + MgCl
19.9319.8519.8719.9119.73
19.9120.0619.8819.9219.77
20.0819.9920.0419.8419.75
19.9919.8820.0519.9819.93
19.919.9820.0619.8219.94
19.9820.0819.8319.9219.79
19.9220.119.920.0919.84
20.0119.8219.8320.119.94
19.9620.0119.8520.0419.89
20.1320.119.8720.0419.72
20.1519.8419.8519.8719.88
20.0420.0319.9319.8920
19.9820.0119.8219.7719.74
20.0319.9619.8519.9719.95
20.1319.9120.0619.8419.79
2020.0320.0420.0719.85
20.0719.922019.8319.74
19.9819.9419.919.919.78
20.0220.0119.9419.9519.88
19.9419.820.0519.7819.83

2.) Based on the p-value from your Phragmitesdataset analysis, select the options that areTRUE.

The p-value is greater than ?(0.05).

The calculated F value was less than the critical F value.

A post-hoc test is necessary to determinestatistically-significant difference(s).

The p-value is less than ?(0.05).

The calculated F value was greater than the critical Fvalue.

3.) Which is / are (an) appropriate evaluation(s) of the resultsof your Phragmites data analysis?

I would fail to reject the null hypothesis.

There is a significant difference in growth between the fivegroups of Phragmites plants.

The control plants' growth rate was greater than thecontaminated plants.

I would reject the null hypothesis.

There is no significant difference in growth between the fivegroups of Phragmites plants.

Answer & Explanation Solved by verified expert
3.7 Ratings (629 Votes)

using Excel

data -> data analysis -> Anova Single Factor

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Distilled H2O 20 400.15 20.0075 0.0055
Petro 20 399.32 19.9660 0.0086
NaCl 20 398.62 19.9310 0.0081
MgCl 20 398.53 19.9265 0.0103
NaCl + MgCl 20 396.74 19.8370 0.0073
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 0.3180 4 0.0795 9.9463 0.0000 2.4675
Within Groups 0.7593 95 0.0080
Total 1.0773 99

since p-value = 0.0000 < alpha

we reject the null hypothesis

we conclude that there is significant difference in means

2)

option C),D) and E) are correct

it wrong then remove option C)

3)

There is a significant difference in growth between the five groups of Phragmites plants.

I would reject the null hypothesis.

option )A and C) are correct


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