Question
Use the table to answer the question.
Group A 18 20 46 34 58 31 41
Group B 15 21 32 42 29 57 39The table shows the times, in minutes, spent shopping by two different groups. First find the mean times each group spent shopping. Then determine the difference in the mean times. Round your answers to one decimal place.(2 points)
The mean time Group A spent shopping is __ minutes.
The mean time Group B spent shopping is __ minutes.
The mean times Group A and Group B spent shopping differ by __ minutes.
To find the mean time each group spent shopping, we add up all the times and divide by the number of observations.
For Group A:
(18 + 20 + 46 + 34 + 58 + 31 + 41) / 7 = 248 / 7 = 35.4 minutes
For Group B:
(15 + 21 + 32 + 42 + 29 + 57 + 39) / 7 = 235 / 7 = 33.6 minutes
The mean time Group A spent shopping is 35.4 minutes.
The mean time Group B spent shopping is 33.6 minutes.
To find the difference in the mean times, we subtract the mean time of Group B from the mean time of Group A:
35.4 - 33.6 = 1.8 minutes
Therefore, the mean times Group A and Group B spent shopping differ by 1.8 minutes.