Masterfoods USA states that their color blends were selected by conducting consumer preference tests, which indicated the assortment of colors that

Masterfoods USA states that their color blends were selected by conducting consumer preference tests, which indicated the assortment of colors that pleased the greatest number of people and created the most attractive overall effect. On average, they claim the following percentages of colors for M&Ms® milk chocolate candies: 24% blue, 20% orange, 16% green, 14% yellow, 13% red and 13% brown.3 pts. Test their claim that the true proportion of blue M&Ms® candies is 0.24 at the 0.05 significance level. 3 pts. Test their claim that the true proportion of orange M&Ms® candies is 0.20 at the 0.05 significance level. 3 pts. Test their claim that the true proportion of green M&Ms® candies is 0.16 at the 0.05 significance level. 3 pts. Test their claim that the true proportion of yellow M&Ms® candies is 0.14 at the 0.05 significance level. 3 pts. Test their claim that the true proportion of red M&Ms® candies is 0.13 at the 0.05 significance level. 3 pts. Test their claim that the true proportion of brown M&Ms® candies is 0.13 at the 0.05 significance level. 3 pts. On average, they claim that a 1.69 oz bag will contain more than 54 candies. Test this claim (µ > 54) at the 0.01 significance (σ unknown).It is important that the total number of candies per bag does not vary very much. As a result of this quality control, the desired standard deviation is 1.5. Test the claim (α = 0.05) that the true standard deviation for number of candies per 1.69 oz bag is less than 1.5 (σ < 1.5).