Measures of Center Quick Check

5 of 55 of 5 Items

Question
The randomly selected delivery times (in minutes) of two fast food restaurants are as follows.

Fast Food 1 Fast Food 2
42 40
38 37
37 40
39 41
38 38
40 46
45 41
41 37
40 40
Which of the following statements is false?

(1 point)
Responses

Both fast food restaurants have exactly one modal delivery time of 40 minutes.
Both fast food restaurants have exactly one modal delivery time of 40 minutes.

Both fast food restaurants have the same mean delivery time of 40 minutes.
Both fast food restaurants have the same mean delivery time of 40 minutes.

Neither data set contains an outlier.
Neither data set contains an outlier.

Both fast food restaurants have the same median delivery time of 40 minutes.
Both fast food restaurants have the same median delivery time of 40 minutes.

The false statement is: Both fast food restaurants have the same mean delivery time of 40 minutes.

This statement is false because the mean delivery time for Fast Food 1 is (42 + 38 + 37 + 39 + 38 + 40 + 45 + 41 + 40) / 9 = 39.44 minutes, while the mean delivery time for Fast Food 2 is (40 + 37 + 40 + 41 + 38 + 46 + 41 + 37 + 40) / 9 = 39.33 minutes. The means are not the same.

Which of the following statements is false?

(1 point)
Responses

Both fast food restaurants have exactly one modal delivery time of 40 minutes.
Both fast food restaurants have exactly one modal delivery time of 40 minutes.

Both fast food restaurants have the same mean delivery time of 40 minutes.
Both fast food restaurants have the same mean delivery time of 40 minutes.

Neither data set contains an outlier.
Neither data set contains an outlier.

Both fast food restaurants have the same median delivery time of 40 minutes.
Both fast food restaurants have the same median delivery time of 40 minutes.

The false statement is: Both fast food restaurants have the same mean delivery time of 40 minutes.

The correct mean delivery times for Fast Food 1 and Fast Food 2 are 39.44 minutes and 39.33 minutes, respectively, which are not the same.