Question

use the situation below to answer questions 5-6
the owners of a road-side ice cream stand want to know which flavor of soft-serve ice cream is most popular with their customers. they know, on average, they have about 2,500 customers each week during the summer. one summer week, the owners chose two days at random to record each sale (wednesday & friday). the results are shown in the table.

flavor	wednesday	friday
vanilla	50	190
mixed swirl	70	360
total	210	750

5 by approximately how many percentage points did the popularity of \vanilla\ differ from wednesday to friday? round to the nearest percent.
a 1%
b 3%
c 26%
d 24%

6 which set of data is likely to produce the most valid results?
a the data from wednesdays sample
b the data from fridays sample
c the data from combining both the wednesday & friday samples
d any of the above will produce similar valid results

Explanation:

For Question 5:

Step1: Find Wednesday vanilla percentage

$\text{Percentage (Wednesday)} = \frac{50}{210} \times 100 \approx 23.81\%$

Step2: Find Friday vanilla percentage

$\text{Percentage (Friday)} = \frac{190}{750} \times 100 \approx 25.33\%$

Step3: Calculate percentage difference

$\text{Difference} = |25.33\% - 23.81\%| \approx 1\%$

Larger, combined sample sizes reduce sampling error and better represent the full customer population, leading to more valid results than smaller individual samples.

Answer:

A. 1%

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For Question 6: