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Use the table to answer the question....

This table displays the shopping time taken by Group A and Group B for comparison.
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)
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.

1 answer

To find the mean time spent shopping for each group, we need to calculate the average of the times provided.

Group A: Times: 18, 20, 46, 34, 58, 31, 41

  1. Calculate the sum of the times: \[ 18 + 20 + 46 + 34 + 58 + 31 + 41 = 248 \]
  2. Count the number of observations: There are 7 observations.
  3. Calculate the mean: \[ \text{Mean for Group A} = \frac{248}{7} \approx 35.4 \]

Group B: Times: 15, 21, 32, 42, 29, 57, 39

  1. Calculate the sum of the times: \[ 15 + 21 + 32 + 42 + 29 + 57 + 39 = 235 \]
  2. Count the number of observations: There are 7 observations.
  3. Calculate the mean: \[ \text{Mean for Group B} = \frac{235}{7} \approx 33.6 \]

Now, find the difference in the mean times: \[ \text{Difference} = \text{Mean for Group A} - \text{Mean for Group B} = 35.4 - 33.6 = 1.8 \]

Thus, we can summarize the answers as follows:

The mean time Group A spent shopping is 35.4 minutes.
The mean time Group B spent shopping is 33.6 minutes.
The mean times Group A and Group B spent shopping differ by 1.8 minutes.