Answer:
The mean time spent in school is approximately 6 hours each day and Tara is correct
Step-by-step explanation:
The given data is presented here as follows;
Number of hours in school per day, 4, 5, 6, 7, 8
Sample A:, 70 100 125 135 70
Sample B:, 80 90 120 125 85
For sample A, we have;
The total number of hours spent by sample A = 4 × 70 + 5 × 100 + 6 × 125 + 7 ×135 + 8 ×70 = 3035 hours
The number of students in sample A = 70 + 100 + 125 + 135 + 70 = 500
The mean number of hours spent in school by sample A = 3035 /500 = 6.07
For sample B, we have;
The total number of hours spent by sample A = 4 × 80 + 5 × 90 + 6 × 120 + 7 ×125 + 8 ×85 = 3045 hours
The number of students in sample A = 80 + 90 + 120 + 125 + 85 = 500
The mean number of hours spent in school by sample A = 3045 /500 = 6.09
The cumulative data, we have;
(3035 + 3045)/1000 = 6.08
Therefore, the mean is approximately 6 hours each day and Tara is correct.