company claims 10% are green. suppose that candies are packaged randomly into samll bags of 50. school children studying percent open several bags, count colors and find the proportion that are green.
a. is the Normal model appropriate here? explain
b. where is the center? using the empirical rule, find the range that 95% of the bags will be between.
c. since n=50, is the 10% rule satisfied? If so find Q?
a. The Normal model is not appropriate in this case because the sampling method used by the school children is not a random sample from a large population. Instead, the candies are packaged randomly into small bags of 50, which means the bags are not representative of the entire population of candies. Therefore, the assumptions required for the Normal model are not met.
b. Since the Normal model is not appropriate, we cannot use the empirical rule to find the range that 95% of the bags will be between. The empirical rule is only applicable when dealing with a normal distribution.
c. The 10% rule states that the sample size should be less than 10% of the population size in order to use a normal distribution approximation. In this case, the sample size is 50, which is smaller than 10% of the total population of candies. Therefore, the 10% rule is satisfied. However, we cannot find Q (the number of green candies) without additional information about the proportion of green candies in the population.