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.
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Answer 1

To find the mean shopping time for Group A and Group B, we need to calculate the average for each group. The mean is calculated by summing all the values and then dividing by the number of values.

### Group A:
- Values: 18, 20, 46, 34, 58, 31, 41
- Sum of Group A: \( 18 + 20 + 46 + 34 + 58 + 31 + 41 = 248 \)
- Number of values in Group A: 7
- Mean for Group A:
\[
\text{Mean A} = \frac{248}{7} \approx 35.4 \, \text{minutes}
\]

### Group B:
- Values: 15, 21, 32, 42, 29, 57, 39
- Sum of Group B: \( 15 + 21 + 32 + 42 + 29 + 57 + 39 = 235 \)
- Number of values in Group B: 7
- Mean for Group B:
\[
\text{Mean B} = \frac{235}{7} \approx 33.6 \, \text{minutes}
\]

### Difference in Mean Times:
- Difference:
\[
\text{Difference} = \text{Mean A} - \text{Mean B} \approx 35.4 - 33.6 = 1.8 \, \text{minutes}
\]

### Summary of Answers:
- 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**.