Q1) Citrus growers association believes that mean consumptions of fresh citrus fruits by people in U.S. is at least 94 pounds per year. Random sample of 130 people in U.S. has a mean consumption of fresh citrus fruits of 91.2 pounds per year and standard deviation of 20 pounds. At level of significance of 0.02, can you reject association's claim that mean consumption of fresh citrus fruits by people in U.S. is at least 94 pounds per year?
Q2) Candidate should gather at least 800 valid signatures on petition before deadline to run in an election. One candidate turns in 10000 signatures just before deadline ,but it is always expected that some percentage of them are invalid Election officials take random sample of 100 signatures and thoroughly investigate them to determine that 84% are valid. Is this statistically significant evidence that candidate has sufficient valid signatures overall? Describe.