1. It is desired to check if the production process of a certain article that is marketed in 600-gram bags is in control. You have observed the weights of a random sample of 30 bags of products, resulting in an average of 593 grams. If you wish to conclude that the process is out of control when the actual average product weight is different from 600 grams, is it valid to infer from the sample result and at a 5% significance level that the process is out of control? Assume that the product weights have a normal distribution with a standard deviation of 10 grams. Solve manually and then develop using RStudio