Quarter 4-Problem Set no.5 Using the given problem below, answer the following exercises. Write your answer on a separate sheet of paper. 1. A company produces insecticides where its period of effectiveness is normally distributed with a mean of 250 hours and a standard deviation of 26 hours. 40 samples of this insecticide were tested and found to have an average period of eectivity which is 260 hours with a standard deviation of 24 hours. a. State the null and alternative hypotheses in words. b. State whether the test is twotailed or one tailed. c. Transform the null and alternative hypotheses in symbols. d. Identify the test statistic to be used in testing the hypothesis. . The average time it takes to make a sofa bed is 450 hours. A sample of 25 skilled workers was surveyed on their working time in making a sofa bed will be reduced if their salary will be raised. It reveals that the average time for them to make a sofa bed is 400 hours with a standard deviation of 15 hours. a. State the null and alternative hypotheses in words. b. State whether the test is two-tailed or one tailed c. Transform the null and alternative hypotheses in symbols. (1. Identify the test statistic to be used in testing the hypothesis. Quarter 4-Problem Set no.6 Hypothesis about comparing means (Comparing Sample mean and Population Mean) Apply the 7 steps in testing hypothesis to solve the given problem. 1. The treasurer of a certain university claims that the mean monthly salary of their college professor is P 21, 7 5.0 with a standard deviation of P 6000. A researcher takes a random sample of 75 college professors were found to have a mean monthly salary of P 19, 375.00. Do the 75 college professors have lower salaries than the rest? Test the claim at a= 0.05 level of signicance. Step 1: Step 2: Step 3: Step 4: Step 5: Step 6: Step 7: 2. The mean weight of the baggage carried into an airplane by individual passengers at 'I'uguegarao City Airport is 19.8 kilograms. . .A statistician takes a random sample of 110 passengers and obtain a sample mean weight of 18.5 kilograms with standard deviation of 8.5 kilograms. Test the claim at a= 0.01 level of signicance. Step 1: ' ' Step 2: Step 3: Step 4: Step 5: Step 6: Step 7 2 Quarter 4-Problem Set no.2 State whether the following pairs of hypotheses are onetailed test or two- tailed test. Write your answer on a separate answer sheet. 1. Hy: u = 105 H~: p #105 2. HI: u = 94 H: u > 105 3. H1: [1 = 62.5 H": p