The factory uses an automatic bagging machine to fill pea bags. The bags should weigh 300g. To check the settings of the devices, a random sample of 100 bags was taken, giving an average weight of 305 g. The weight is known to be normally distributed and the standard deviation is 10 g. Calculate the 95% confidence interval for the average and determine if the machine settings need to be changed.
a. No need to change settings
b. Settings must be changed
