TASK 6: State the null and alternative hypotheses. 1. The principal of the school claims that the mean age of the teachers is 45 years. The mean age of the randomly selected 35 teachers is 42 years, which is not equal to what is claimed by the principal. 2. The mathematics teacher claims that the mean IQ of Statistics students is 110. The mean IQ of the 32 randomly selected Statistics students is 112 which is more than what the mathematics teacher claims. 3. It is claimed that the percentage of viewers tuned to Channel 7's new sitcom is 30%. Out of the 250 viewers randomly selected, only 29% are tuned to Channel 7's new sitcom. Can it be concluded that the percentage of viewers tuned to Channel 7's new sitcom is less than 30%? 4. The mean annual income of workers who are college graduates is greater than P100,000 a year. 5. The percentage of women who watches sports on TV is not 40% as claimed by a researcher