Answer the following True/False questions. If false, please explain why 1) A set
ID: 3127827 • Letter: A
Question
Answer the following True/False questions. If false, please explain why
1) A set of sample means is more likely to result in rejection of the hypothesis of equal population means if the variablity within the populations is smaller.
2) With the usual ANOVA assumptions, the ratio of two mean squares whose expected values are the same has an F distribution.
3) To apply the F test in ANOVA, the sample size for each factor level (population) must be the same.
4) To apply the F test in ANOVA, the sample standard deviations for all factor levels must be the same.
5) To apply the F test in ANOVA, the population standard deviations for all factor levels must be the same.
6) A "statistically significant F" in an ANOVA indicates that you have identified which levels of factors are different from the others.
7) A sum of squares is a measure of dispersion
Explanation / Answer
1) A set of sample means is more likely to result in rejection of the hypothesis of equal population means if the variablity within the populations is smaller.
true
2) With the usual ANOVA assumptions, the ratio of two mean squares whose expected values are the same has an F distribution.
FALSE, THE RATIO IS BETWEEN THE SIGMA OR SD
3) To apply the F test in ANOVA, the sample size for each factor level (population) must be the same.
FALSE, CAN BE DIFFERENT
4) To apply the F test in ANOVA, the sample standard deviations for all factor levels must be the same.
TRUE
5) To apply the F test in ANOVA, the population standard deviations for all factor levels must be the same.
TRUE
6) A "statistically significant F" in an ANOVA indicates that you have identified which levels of factors are different from the others.
TRUE
7) A sum of squares is a measure of dispersion
TRUE