1) .A research study measured the pulse rates of 57 women and found to have a mean pulse rate of 70.4211 with a standard deviation of 9.9480. Researchers want to know if the mean pulse rate for all college women is different from the standard of 72. Use a 5% level of significance.
2) An industry representative tries to argue that the Philippine Commercial Perry aren't really too old by making this claim: "The mean age of Philippine Commercial Perry is only about 10 years." Apply the hypothesis testing procedure to test the claim of the navigation industry representative at 5% significance level.
3) The Engineering Department of Jonas Motors, a jeepney manufacturer claims that the fuel consumption rate of one model is equal to 14 km/liter. The advertising department wants to test this claim to see if the announced figure should be higher or lower than 14 km/liter. Test the claim of the engineering department by using a 0.05 level of significance.
4) Mariners, a manufacturer of fishing rods, has developed a new product that the company claims have a mean breaking strength of 8 kilograms with a standard deviation of 0.5 kilogram. If a random sample of 50 rods is tested and found to have a mean breaking strength of 7.8 kilograms. Test the claim of the manufacturer at a .01 level of significance.
5) A concerned citizen group claims that 45% of the people in the first barangay support making beers illegal. You decide to test this claim and ask a random sample of 200 people, 49% support this bill. At 0.05 significance level, is there enough evidence to support this claim?
(Use the steps in hypothesis testing with graph)