Statistics

1. CALCULATE AND
UNDERSTAND ANALYSIS OF
VARIES
(ANOVA) F TEST

39. ACTIVITY

40. Quiz
1. Which of the following statements best describes the purpose of One-Way ANOVA?
◦ a) To compare means between multiple independent groups.
◦ b) To compare means between two dependent groups.
◦ c) To compare variances between multiple independent groups.
◦ d) To compare proportions between multiple independent groups.

41. Quiz
2. In One-Way ANOVA, the null hypothesis assumes that:
◦ a) The means of all groups are equal.
◦ b) The variances of all groups are equal.
◦ c) The means of all groups are different.
◦ d) The data is normally distributed.

42. Quiz
3. When performing One-Way ANOVA, the F-statistic is calculated by:
◦ a) Dividing the variance within groups by the variance between groups.
◦ b) Dividing the sum of squares within groups by the sum of squares between groups.
◦ c) Dividing the mean square between groups by the mean square within groups.
◦ d) Dividing the total sum of squares by the degrees of freedom.

43. Quiz
4. The p-value obtained from the F-statistic in One-Way ANOVA represents:
◦ a) The probability of observing the obtained F-value or a more extreme value, assuming the null
hypothesis is true.
◦ b) The probability of observing a difference between groups.
◦ c) The strength of the relationship between the dependent variable and the independent variable.
◦ d) The percentage of variance explained by the independent variable.

44. Quiz
5. Suppose you conducted a One-Way ANOVA with four groups. The obtained p-value is 0.02. What
conclusion can you draw from this result?
◦ a) There is strong evidence to reject the null hypothesis, indicating that at least one group mean is
significantly different from the others.
◦ b) There is not enough evidence to reject the null hypothesis, indicating that all group means are equal.
◦ c) The p-value is too high to make any conclusions about the group means.
◦ d) The obtained p-value is inconclusive and cannot be interpreted.

45. Quiz
6. What is the purpose of a paired sample t-test?
◦ a) To compare means of two independent groups
◦ b) To compare means of two related groups
◦ c) To compare variances of two independent groups
◦ d) To compare variances of two related groups

46. Quiz
7. Which of the following is a requirement for conducting a paired sample t-test?
◦ a) The samples must be independent of each other
◦ b) The samples must be randomly selected
◦ c) The samples must have equal variances
◦ d) The samples must be related or matched in some way

47. Quiz
8. What is the null hypothesis for a paired sample t-test?
◦ a) There is no difference between the means of the two groups
◦ b) There is a significant difference between the means of the two groups
◦ c) There is no correlation between the two variables
◦ d) There is a significant correlation between the two variables

48. Quiz
9. Effect size measures in an independent samples t-test provide information about:
◦ a) The magnitude of the observed difference between the means.
◦ b) The direction of the observed difference between the means.
◦ c) The variability within each group.
◦ d) The sample sizes of the two groups

49. Quiz
10. When conducting an independent samples t-test, the confidence interval provides:
◦ a) An estimate of the true population means.
◦ b) A range of values within which the observed difference is likely to fall.
◦ c) A measure of the variability within each group.
◦ d) The probability of making a Type I error.

50. Quiz
1. A
2. A
3. C
4. A
5. A
6. B
7. D
8. A
9. A
10. B