Question

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

Fast Food 1 Fast Food 2
This table displays the randomly selected delivery times (in minutes) for two fast food restaurants.
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)

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

Neither data set contains an outlier.
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Answer 1

The false statement is: "Both fast food restaurants have exactly one modal delivery time of 40 minutes."

Reason:
- Fast Food 1 values: 37,38,38,39,40,40,41,42,45 — counts: 38 appears 2 times, 40 appears 2 times → FF1 is bimodal (modes 38 and 40).
- Fast Food 2 values: 37,37,38,40,40,40,41,41,46 — 40 appears 3 times → FF2 has a single mode 40.

Checks on the other statements:
- Both means = 360/9 = 40.
- Both medians = 40.
- Using the IQR method (FF1: Q1=38, Q3=41.5 → upper fence 46.75; FF2: Q1=37.5, Q3=41 → upper fence 46.25), neither set has a value outside the fences, so no outliers.