Use the table to answer the question.
Group A 18 20 46 34 58 31 41
Group B 15 21 32 42 29 57 39
The 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)
Mean time spent shopping for Group A = (18+20+46+34+58+31+41)/7 = 34.9 minutes
Mean time spent shopping for Group B = (15+21+32+42+29+57+39)/7 = 34.3 minutes
Difference in mean times = 34.9 - 34.3 = 0.6 minutes
To find the mean times each group spent shopping, we will use the formula:
Mean = (sum of all values) / (number of values)
For Group A:
Mean of Group A = (18 + 20 + 46 + 34 + 58 + 31 + 41) / 7
Calculating this sum, we get:
Mean of Group A = 248 / 7
Taking it to one decimal place, the mean of Group A is 35.4.
Similarly, for Group B:
Mean of Group B = (15 + 21 + 32 + 42 + 29 + 57 + 39) / 7
Calculating this sum, we get:
Mean of Group B = 235 / 7
Taking it to one decimal place, the mean of Group B is 33.6.
To determine the difference in the mean times, we subtract the mean of Group B from the mean of Group A.
Difference in mean times = Mean of Group A - Mean of Group B
Difference in mean times = 35.4 - 33.6
Therefore, the difference in the mean times is 1.8.