Final answer:
To solve this problem, we need to calculate the mean sample weight and the standard deviation of the sample weights of candies. We also need to find the sum of the sample weights and the standard deviation of the sum. Finally, we determine if the candy company's labeling is accurate.
Step-by-step explanation:
To solve this problem, we need to find the mean sample weight and the standard deviation of the sample weights of candies in the table. First, we calculate the mean by adding up all the weights and dividing by the number of candies. Then, we calculate the standard deviation by using the formula for sample standard deviation. For part b, we find the sum of the sample weights by adding up all the weights in the table, and then calculate the standard deviation of the sum using the formula for standard deviation of the sum. For part c, we can use statistical software or a calculator to find the probability that the weights sum to at least 396.9 g. To determine if the candy company's labeling is accurate in part d, we compare the mean sample weight we calculated in part a to the claimed net weight of the bag.