7.11 Play the piano. Georgianna claims that in a small city renowned for its music school, the average child takes less than 5 years of piano lessons. We have a random sample of 20 children from the city, with a mean of 4.6 years of piano lessons and a standard deviation of 2.2 years. (a) Evaluate Georgianna's claim (or that the opposite might be true) using a hypothesis test. (b) Construct a 95% confidence interval for the number of years students in this city take piano lessons, and interpret it in context of the data