As noted in an earlier chapter, mars inc. says that until very recently yellow candies made up 20% of its milk chocolate m& m’s, red another 20%, and orange, blue, and green 10% each. the rest are brown. on his way home from work the day he was writing these exercises, one of the authors bought a bag of plain m& m’s. he got 29 yellow ones, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. is this sample consistent with the company’s stated proportions? test an appropriate hypothesis and state your conclusio

there is no consistency with the company's stated proportions

Step-by-step explanation:

yellow 20 %

red 20 %

orange, blue and green 10 %

brown  50 %

From the authors purchase

yellow = 29

red = 23

orange = 12

blue = 14

green = 8

brown = 20

the total of all the purchase =

taking the probability of each will help us know the percentage

probability = required outcome / possible outcome

P(Yellow) =

= 21 %

P(Orange, blue and green) =

= 32 %

P(Brown) =

= 18 %

from the question, we have that

i am going to tabulate the two outcomes together

the companies stated outcome  the outcome from our calculations

Yellow 20 %                                 versus      Yellow 27 %

Red 20 %                                      versus      Red 21 %

Orange, Blue and Green 10 %     versus     Orange, Blue and Green 32 %

Brown 50 %                                   versus     Brown 18 %

we can see from the above that there is no consistency with the company's stated proportion.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

answer: 800

step-by-step explanation: