Question

The J & B candy company claims that 45% of the candies it produces are blue, 30% are brown, and 25% are yellow. Each bag holds 65

candies. A simulation was run 200 times, each of sample size 65, based on the premise that 45% of the candies are blue. The results of the
simulation are shown below.

Answer 1

(4) Bonnie’s bag is within the middle 95% of the simulated data supporting the company’s claim.

Explanation:

We are being told that:

The J & B candy company claims that 45% of the candies it produces are blue, 30% are brown, and 25% are yellow.Each bag holds 65 candies.

From the simulation that was run 200 times

Given that:

The mean is 29.270 and the standard deviation is 3.936. from the diagram attached.

The mean - 2 SD = 29.270 - 2(3.936)

= 29.270 - 7.872

= 21.398,

This is less than 24, Hence, Bonnie’s bag is within the middle 95% of the simulated data supporting the company’s claim.