- To estimate the true mean number of calories found in candy bars we need a confidence interval for the distribution.
- Assuming population is normally distributed. We take a sample of "n" number of candies from the population. It is given that the sample conforms to the condition of normality irrespective of the sample size "n"
- If the population is not normally distributed then to approximate the sample for normality then the sample size must be large enough for it to be covered throughout 3 standard deviations.
- It is found through empirical results that "sufficient large" sample size of n:
Sampling distribution can be defined as a probability distribution of a statistic which is gotten through a large number of samples usually drawn from a specific population.
The sampling distribution of a given population can be described as the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.
Please refer to attachment for a step by step technique to prove How many candy bars must you have in order to be sure the sampling distribution of x is normal.
