1. A study claims the proportion of adults in the United States with rudimentary skills is 21%. 2. A hospital spokesperson states that 2% of Emergency Room visits by college undergraduates are for alcohol related health problems. 3. A battery manufacturer guarantees that the standard deviation of the life of their batteries is less than 5 months. (#4-7) Perform the appropriate hypothesis test. 4. A citrus grower's association reports the mean consumption of fresh citrus by people in the US is 94 lbs. per year. The manager of a citrus farm in Florida thinks the mean consumption of fresh citrus is less than this amount. The manager obtains a simple random sample of 303 people and finds the sample mean to be 90.5 lbs. per year and standard deviation 30 lbs. Perform a hypothesis test using = 0.05. 5. In 2010, a microwave oven manufacturer advertises that 10% of its microwaves need repair during the first five years of use. The owner of a microwave repair business believes the repair rate is greater than 10%. The owner obtains a simple random sample of 57 microwaves that are five years old and finds eight of them have needed repairs during the first five years of use. Perform a hypothesis test using = 0.01. 6. An employment information service reports that the mean annual salary for full-time male workers over the age of 25 with a bachelor's degree is $53,102. Assume the population standard deviation is $1500. You doubt the validity of this claim and obtain a simple random sample of 12 full-time male workers with bachelor's degrees. This sample has a mean annual salary of $52,201 with a standard deviation $2,550. Perform a hypothesis test using = 0.05. 7. An automaker advertises that the mean gas mileage of its luxury sedan is 25 miles per gallon. A mechanic claims that the gas mileage is more than 25 miles per gallon. The mechanic obtains a simple random sample of fifty luxury sedans and found the mean to be 23mpg with standard deviation 5 mpg. Perform a hypothesis test using = 0.05