1), What is the grand sample mean for the data?

A, 6.06

B, 5.98

C, 5.87

D, 17.90

2), The three treatments define three populations of interest. You will use analysis of variance (ANOVA) to test the hypothesis that the three population means are equal. Fill the ANOVA table.

3), At a significance level of = 0.05, test the null hypothesis that the population means for all treatments are equal. The null hypothesis is ___ .

A, rejected

B, not rejected

4), The manager ___ conclude that the different scripts vary in their effectiveness.

A, can

B, can not

1. Conducting a one-way analysis of variance Telemarketers often follow a prewritten script when interviewing customers. A manager of a major telemarketing company would like to compare the effectiveness of three different sales scripts: Script A, Script B, and Script C. An investigator performed an experiment in which 40 telemarketing trainees were randomly assigned to three groups, the first consisting of 12 trainees, the second 13 trainees, and the third 15 trainees. Trainees in the first group were trained to market their products using Script A, trainees in the second group were trained to use Script B, and trainees in the third group were trained to use Script C. After training, each trainee's sales total over a 1-week period was recorded. The sample mean and variance of the sales totals for each of the three groups are presented in the table that follows. 2 Sample Mean, xj (Thousands of dollars) Sample Variance, si (Millions of dollars?) Treatment, j Number of Observations, nj Script A 12 5.79 0.6587 Script B 13 5.87 0.7659 Script C 15 6.24 0.8967 ANOVA Table Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total 1. Conducting a one-way analysis of variance Telemarketers often follow a prewritten script when interviewing customers. A manager of a major telemarketing company would like to compare the effectiveness of three different sales scripts: Script A, Script B, and Script C. An investigator performed an experiment in which 40 telemarketing trainees were randomly assigned to three groups, the first consisting of 12 trainees, the second 13 trainees, and the third 15 trainees. Trainees in the first group were trained to market their products using Script A, trainees in the second group were trained to use Script B, and trainees in the third group were trained to use Script C. After training, each trainee's sales total over a 1-week period was recorded. The sample mean and variance of the sales totals for each of the three groups are presented in the table that follows. 2 Sample Mean, xj (Thousands of dollars) Sample Variance, si (Millions of dollars?) Treatment, j Number of Observations, nj Script A 12 5.79 0.6587 Script B 13 5.87 0.7659 Script C 15 6.24 0.8967 ANOVA Table Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total