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10-113.

The owner of Taco Shack saw reviews online complaining that there was not enough cheese on his tacos. Without identifying himself, he randomly purchased $251$ tacos from his own stores and from his competitor. He weighed the amount of cheese on each taco. His results are below:

NUMBER OF TACOS

Taco Shack

competitor

$\boldsymbol{<15}$ grams cheese

$15$

$11$

between $\boldsymbol{15}$ and $\boldsymbol{25}$ g cheese

$83$

$68$

$\boldsymbol{>25}$ grams cheese

$41$

$33$

TOTAL

$139$

$112$

Is there an association between the amount of cheese and where a taco was purchased? Should the owner of Taco Shack adjust the amount of cheese based on what his competitor is doing?

Here is the relative frequency table for Taco Shack and its competitor.

NUMBER OF TACOS

Taco Shack

Competitor

$\boldsymbol{<15}$ grams cheese

$11\%$

$10\%$

between $\boldsymbol{15}$ and $\boldsymbol{25}$ g cheese

$60\%$

$61\%$

$\boldsymbol{>25}$ grams cheese

$29\%$

$29\%$