Problem:
A candy company claims that 17% of its plain candies are orange, and a sample of 100 such candies is randomly selected.
a. Find the mean and standard deviation for the number of orange candies in such groups of 100.
b. A random sample of 100 candies contains 5 orange candies. Is this result unusual? Does it seem that the claimed rate of 17% is wrong? Choose one from below
1. Yes, because 5 is below the minimum usual value. Thus, the claimed rate of 17% is probably wrong.
2. Yes, because 5 is greater than the maximum usual value. Thus, the claimed rate of 17% is not necessarily wrong.
3. Yes, because 5 is within the range of usual values. Thus, the claimed rate of 17% is probably wrong.
4. No, because 5 is within the range of usual values. Thus, the claimed rate of 17% is not necessarily wrong.