Question 6 The researchers further believe that the mean bill lengths for the 3 species are different. Define μ1, μ2 and μ3 as the population mean bill lengths of the species Adelie, Gentoo and Chinstrap, respectively. The appropriate null and alternative hypotheses for the one-way ANOVA to test this belief are H0:μ1≠μ2≠μ3 vs H1:μ1=μ2=μ3 H0:μ1=μ2=μ3 vs H1:μ1≠μ2≠μ3 H0:μ1=μ2=μ3 vs H1: Not all population means are equal H0:μ1=μ2=μ3 vs H1:μ1>μ2≠μ3 a)Which one of the following is NOT an assumption of the hypothesis test in Question 6? Penguin bill lengths in each species are drawn from normally distributed populations. Bill lengths and depths should have a linear relationship. Population variances of bill lengths in each species are equal. Penguin samples are random and independent. b) The researcher performs an additional analysis to examine the interaction effect of the species and the sex of penguins on their mean bill lengths. The appropriate statistical procedure is Two-sample t-test Wilcoxon Rank Sum test Two-way ANOVA Tukey's Honestly Significant Difference
Question 6
The researchers further believe that the mean bill lengths for the 3 species are different. Define μ1, μ2 and μ3 as the population mean bill lengths of the species Adelie, Gentoo and Chinstrap, respectively. The appropriate null and alternative hypotheses for the one-way ANOVA to test this belief are
H0:μ1≠μ2≠μ3 vs H1:μ1=μ2=μ3
H0:μ1=μ2=μ3 vs H1:μ1≠μ2≠μ3
H0:μ1=μ2=μ3 vs H1: Not all population means are equal
H0:μ1=μ2=μ3 vs H1:μ1>μ2≠μ3
a)Which one of the following is NOT an assumption of the hypothesis test in Question 6?
Penguin bill lengths in each species are drawn from
Bill lengths and depths should have a linear relationship.
Population variances of bill lengths in each species are equal.
Penguin samples are random and independent.
b)
The researcher performs an additional analysis to examine the interaction effect of the species and the sex of penguins on their mean bill lengths. The appropriate statistical procedure is
Two-sample t-test
Wilcoxon Rank Sum test
Two-way ANOVA
Tukey's Honestly Significant Difference
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