Namaste Yoga is considering keeping the virtual studio developed during the pandameic a permanaent feature for their community. The Marketing Manager has hired a consultant to design a survey to determine attitudes towards the service. In addition the percentage of young adults in Quebec practicing yoga and the average frequency per week are to be determined. The Marketing Manager wants to be 95% confident of the results and does not want the error to exceed 3 percentage points for yoga practioners ownership and 2 hours per week for average practice. Previous reports are not available for the percentage of youth yoga practioners, but some earlier studies do indicate that the average weekly practice is 6 hours with a variance of 4 hours.

a. What sample size would you recommend assuming that only the percentage of households with youth yogis is to be determined? Show all your calculations

b. What sample size would you recommend assuming that only the average practice hours per week is to be determined? Show all your calculations.