GreenStudio Yoga is considering keeping their virtual studio. The percentage of young adults practicing yoga and the average frequency per week are to be determined. The manager wants to be 95% confident of the results and does not want the error to exceed 3 percentage points for yoga practitioners ownership and 2 hours per week for average practice. Previous reports are not available for the percentage of youth yoga practitioners, but some earlier studies do indicate that the average weekly practice is 6 hours with a variance of 4 hours.

1. The consultant who carried out the survey using systematic sampling found that some interviewers had skipped respondents who were hard to understand on the phone, and that some survey questions may not have been clear. She makes the following statement in her presentation to the management of the firm: "Based on the results, I can say with 95% confidence that the average young adult in Quebec who practices yoga, does so 5 hours a week. There is only a 5% probability that any mistakes that might have occurred in the survey process can affect the results". Discuss whether the consultant is justified in making the statement she did (in quotation marks). (5 points)