Question

An experiment was conducted in which two methods of administering the new antiviral medication Zanamivir (a treatment for the flu and other viral upper respiratory tract infections) were compared to a control. People (n = 262) were randomly assigned to one of three treatments: inhaled Zanamivir (i.e., inhaled into lungs like asthma medication), both inhaled and intranasal Zanamivir (i.e., squirted into sinuses), and a placebo. The response variable measured was the time until the alleviation of major symptoms (in days).

Q1:Which of the choices on Canvas best represents the null hypothesis for this study in the appropriate parameter (e.g. μ or θ)?

µ₁ = µ₂ = µ₃

µ₁ ≠ µ₂ ≠ µ₃

µ₁ < µ₂ < µ₃

µ₁ > µ₂ > µ₃

µ₁ ≤ µ₂ ≤ µ₃

µ₁ ≥ µ₂ ≥ µ₃

θ₁ = θ₂ = θ₃

θ₁ ≠ θ₂ ≠ θ₃

θ₁ < θ₂ < θ₃

θ₁ > θ₂ > θ₃

θ₁ ≤ θ₂ ≤ θ₃

θ₁ ≥ θ₂ ≥ θ₃

Q2: Which of the choices on Canvas best represents the alternative hypothesis for this study in the appropriate parameter (e.g. μ or θ)?

µ₁ = µ₂ = µ₃

µ₁ ≠ µ₂ ≠ µ₃ (not all means are equal)

µ₁ < µ₂ < µ₃

µ₁ > µ₂ > µ₃

µ₁ ≤ µ₂ ≤ µ₃

µ₁ ≥ µ₂ ≥ µ₃

θ₁ = θ₂ = θ₃

θ₁ ≠ θ₂ ≠ θ₃ not all medians are equal

θ₁ < θ₂ < θ₃

θ₁ > θ₂ > θ₃

θ₁ ≤ θ₂ ≤ θ₃

θ₁ ≥ θ₂ ≥ θ₃

Q3: Which of the choices are assumptions of the Analysis of Variance (choose all that are assumptions)?

The error variances of the different groups are approximately equal

The residuals are normally distributed

The response variable is continuous or if discrete with a large number of possible values

The response is on the ordinal or nominal scale

The factor (independent variable) is continuous on the ratio or interval scale

All measurements are a random sample from the corresponding population

Answer 1

1)the choices on Canvas best represents the null hypothesis for this study is µ₁ = µ₂ = µ₃

₂₎the choices on Canvas best represents the alternative hypothesis for this study in the appropriate parameter (e.g. μ or θ) is µ₁ ≠ µ₂ ≠ µ₃ (not all means are equal) ...

3)The residuals are normally distributed

All measurements are a random sample from the corresponding population

These are  assumptions of ANOVA..

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