In: Statistics and Probability
ANOVA
Part 1—A study compared five groups with six observations per group. An F statistic of 5.13 was reported.
A.) Give the degrees of freedom for this statistic and be specific about which part you are referencing, numerator or denominator.
B.) Find the P-value associated with this F-statistic. Show your calculator command in the space provided.
Part 2—A study to compare four groups took random samples from each population of interest of sizes 38, 42, 21, and 45. The corresponding sample standard deviations are 2.5, 1.4, 2.7, and 3.1 respectively.
A.) Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Explain your answer.
B.) Is it reasonable to believe that we have met the Normal condition when we analyze these data? Explain your answer.
TThe command for finding p-value r software.
> pf(5.13,4,25,lower.tail=F)
[1] 0.003703014