The article cited in Exercise 19 provides measures of electrical conductivity (in uS/cm). The results are presented in the following table. Sample Size 49 Location Mean SD Upstream 463 208 Midstream 363 98 31 Downstream 647 878 30 Can a one-way analysis of variance be used to determine whether conductivity varies with location? Or is one of the necessary assumptions violated? Explain.

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The article cited in Exercise 19 provides measures of electrical conductivity (in uS/cm). The
results are presented in the following table.
Sample Size
49
Location
Mean
SD
Upstream
463
208
Midstream
363
98
31
Downstream
647
878
30
Can a one-way analysis of variance be used to determine whether conductivity varies with
location? Or is one of the necessary assumptions violated? Explain.
Transcribed Image Text:The article cited in Exercise 19 provides measures of electrical conductivity (in uS/cm). The results are presented in the following table. Sample Size 49 Location Mean SD Upstream 463 208 Midstream 363 98 31 Downstream 647 878 30 Can a one-way analysis of variance be used to determine whether conductivity varies with location? Or is one of the necessary assumptions violated? Explain.
Expert Solution
Step 1

The table provides the means, standard deviations and sample sizes for electrical conductivity measurements.

Assumptions for One-Way ANOVA:

  • The treatment that taken from a population must be normal.
  • All the treatment population must have same variance, which is denoted as σ2.

Here, it is given that the conductivity varies with location.

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