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Statistics Unit Test

4 of 164 of 16 Items
Question
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 shopping time for each group, we need to sum the times for each group and then divide by the number of items (which is 7 for both groups).

Group A's times: 18, 20, 46, 34, 58, 31, 41

  1. Calculate the sum: \[ 18 + 20 + 46 + 34 + 58 + 31 + 41 = 248 \]

  2. Calculate the mean: \[ \text{Mean for Group A} = \frac{248}{7} \approx 35.4 \text{ minutes} \]

Group B's times: 15, 21, 32, 42, 29, 57, 39

  1. Calculate the sum: \[ 15 + 21 + 32 + 42 + 29 + 57 + 39 = 235 \]

  2. Calculate the mean: \[ \text{Mean for Group B} = \frac{235}{7} \approx 33.6 \text{ minutes} \]

Difference in mean times: \[ \text{Difference} = 35.4 - 33.6 = 1.8 \text{ minutes} \]

So, the answers are:

  • 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.