Explanation: The formula for calculating the percent change in a value between two points in time is: p = N − O O ⋅ 100 Where: p is the percent change - what we are solving for in this problem. N is the New Value - 62 inches in this problem. O is the Old Value - 56 inches in this problem. Substituting and solving for p gives: p = 62 − 56 56 ⋅ 100 p = 6 56 ⋅ 100 p = 600 56 p = 10.7 rounded to the nearest tenth. Ricardo gres 10.7%
Answer: Normal approximation can be used for discrete sampling distributions, such as Binomial distribution and Poisson distribution if certain conditions are met.
Step-by-step explanation: We will give conditions under which the Binomial and Poisson distribitions, which are discrete, can be approximated by the Normal distribution. This procedure is called normal approximation.
1. Binomial distribution: Let the sampling distribution be the binomial distribution , where is the number of trials and is the probability of success. It can be approximated by the Normal distribution with the mean of and the variance of , denoted by if the following condition is met:
2. Poisson distribution: Let the sampling distribution be the Poisson distribution where is its mean. It can be approximated by the Normal distribution with the mean and the variance , denoted by when is large enough, say (however, different sources may give different lower value for but the greater it is, the better the approximation).