Question

southern atlantic airlines surveyed 150 customers to find out whether they prefer to sit in a window seat or in an aisle seat. the survey also asked the customers how often they fly. this table shows the relative frequencies from the survey.

complete the table.

	window seat	aisle seat	total
more than 6 flights a year	0.20	□	0.56
total	□	□	1.00

how many more customers prefer a window seat than prefer an aisle seat?

Explanation:

Part 1: Complete the Table

Step 1: 6 flights a year or less - Window seat

The total for "6 flights a year or less" is 0.44, and the aisle seat relative frequency is 0.06. So, window seat relative frequency = \( 0.44 - 0.06 = 0.38 \).

Step 2: More than 6 flights a year - Aisle seat

The total for "More than 6 flights a year" is 0.56, and the window seat relative frequency is 0.20. So, aisle seat relative frequency = \( 0.56 - 0.20 = 0.36 \).

Step 3: Total - Window seat

Sum the window seat relative frequencies: \( 0.38 + 0.20 = 0.58 \).

Step 4: Total - Aisle seat

Sum the aisle seat relative frequencies: \( 0.06 + 0.36 = 0.42 \).

Part 2: How many more customers prefer a window seat than an aisle seat?

Step 1: Number of customers preferring window seat

Total customers = 150, relative frequency of window seat = 0.58. So, number = \( 150 \times 0.58 = 87 \).

Step 2: Number of customers preferring aisle seat

Relative frequency of aisle seat = 0.42. So, number = \( 150 \times 0.42 = 63 \).

Step 3: Difference

Subtract the two numbers: \( 87 - 63 = 24 \).

Completed Table:

	Window seat	Aisle seat	Total
More than 6 flights a year	0.20	0.36	0.56
Total	0.58	0.42	1.00

Answer:

(Difference):
\( \boxed{24} \)