Refer to the Electrical Engineering (Vol. 95, 2013) study of power quality (measured by "sags" and "swells") in Turkish transformers, Exercise 2.96. For a sample of 103 transformers built for heavy industry, the mean and standard deviation of the number of sags per week were 353 and 30, respectively; also, the mean and standard deviation of the number of swells per week were 184 and 25, respectively. Consider a transformer that has 400 sags and 100 swells in a week.
a. Would you consider 400 sags per week unusual, statistically? Explain.
b. Would you consider 100 swells per week unusual, statistically? Explain.