Question: Indicate whether the statement is True or False by circling the appropriate letter.

1. A two-sided \(t\) test is performed and the \(P\) -value is 0.012.
   \(\mathrm{T} \quad \mathbf{F}\) : There is a \(1.2 \%\) chance that the Null hypothesis is true
   \(\mathbf{T} \quad \mathbf{F}\) : If \(\alpha=.05\), we conclude the Null hypothesis is false
   \(\mathbf{T} \quad \mathrm{F}\) : If \(\alpha=.05\), a Type II error is possible
   \(\mathrm{T} \quad \mathrm{F}:\) If \(\alpha=.05\), a Type I error is possible
   \(\mathbf{T} \quad \mathbf{F}\) : The \(P\) -value for one of the one-sided tests is 0.994.
2. Lex and Sam perform an experiment using a balanced incomplete block design with \(a=6\) treatments and \(b=10\) blocks which each contain \(k=3\) treatments. Which of the following are true?
   \(\mathrm{T} \quad \mathrm{F}\) : The total number of observations is \(N=60\)
   \(\mathrm{T} \quad \mathrm{F}:\) Each pair of treatments occurs together 3 times
   \(\mathrm{T} \quad \mathrm{F}\) : The error degrees of freedom are 15
   \(\mathbf{T} \quad \mathrm{F}\) : The treatment degrees of freedom are 9
   T \(\quad \mathbf{F}:\) The standard error of a treatment comparison is \(\sqrt{2 M S E / 5}\)
3. You have been asked to help analyze the data from a study involving \(a=5\) treatments and a total of \(N=20\) subjects. In addition to the response \(y\), a covariate \(x\) was measured so an ANCOVA model analysis in planned.

T \(\quad \mathrm{F}\) : This model assumes a linear association between \(y\) and \(x\)

T \(F\) : This model allows for the covariate to be affected by treatment

\(\mathbf{T} \quad \mathbf{F}\) : The standard error for a treatment comparison is \(\sqrt{2 M S E / 4}\)

\(\mathbf{T} \quad \mathrm{F}\) : The error degrees of freedom are 14

T \(\quad F\) : The covariate degrees of freedom depend on the number of unique values of the covariate.

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