# Question

Refer to the previous exercise.

a. Suppose that the first observation in the second group was actually 9, not 1. Then the standard deviations are the same as reported in the table, but the sample means are 6, 7, and 8 rather than 6, 3, and 8. Do you think the F test statistic would be larger, the same, or smaller? Explain your reasoning, without doing any calculations.

b. Suppose you had the same means as shown in the table but the sample standard deviations were 1.0, 1.8, and 1.6, instead of 2.0, 2.8, and 2.6. Do you think the F test statistic would be larger, the same, or smaller? Explain your reasoning.

c. Suppose you had the same means and standard deviations as shown in the table but the sample sizes were 30, 20, and 30, instead of 3, 2, and 3. Do you think the F test statistic would be larger, the same, or smaller? Explain your reasoning.

d. In parts a, b, and c, would the P-value be larger, the same, or smaller? Why?

a. Suppose that the first observation in the second group was actually 9, not 1. Then the standard deviations are the same as reported in the table, but the sample means are 6, 7, and 8 rather than 6, 3, and 8. Do you think the F test statistic would be larger, the same, or smaller? Explain your reasoning, without doing any calculations.

b. Suppose you had the same means as shown in the table but the sample standard deviations were 1.0, 1.8, and 1.6, instead of 2.0, 2.8, and 2.6. Do you think the F test statistic would be larger, the same, or smaller? Explain your reasoning.

c. Suppose you had the same means and standard deviations as shown in the table but the sample sizes were 30, 20, and 30, instead of 3, 2, and 3. Do you think the F test statistic would be larger, the same, or smaller? Explain your reasoning.

d. In parts a, b, and c, would the P-value be larger, the same, or smaller? Why?

## Answer to relevant Questions

Studies of the degree of residential racial segregation often use the segregation index. This is the percentage of nonwhites who would have to change the block on which they live to produce a fully non-segregated city—one ...The GSS asks, “What is the ideal number of kids for a family?” When we use a recent GSS to evaluate how the mean response depends on gender and race (black or white), we get the results shown in the ANOVA table. a. ...The American Association of University Professors (AAUP) reports yearly on faculty salaries for all types of higher education institutions across the United States. Regard Salary as the response variable, Gender as the ...The Bonferroni theorem states that the probability that at least one of a set of events occurs can be no greater than the sum of the separate probabilities of the events. For instance, if the probability of an error for each ...Example 12 in Chapter 10 compared reaction times in a simulated driving test for the same students when they were using a cell phone and when they were not. The table shows data for the first four students. For all 32 ...Post your question

0