1. A local elected official is looking to see if they have reached their 2023 goal of more than $32.20 in utility savings per family. To see if they met their goal, they randomly surveyed 50 of their over 1000 constituents and found that they had saved an average of $34.12 with a standard deviation of $4.90 on their utilities over the last year. Is this strong evidence that this elected official has helped these families meet their savings goal?

a. Check the appropriate conditions to perform this test, state whether it has been satisfied or not (2 points).

b. Regardless of your answers to part (a), test an appropriate hypothesis and state your conclusion. Use a significance level of 0.05. Use your calculator to conduct this test. Do not do the calculations by hand (4 points - 1 point hypothesis, 2 points work, 1 point conclusion).