Requirement:
Task 1: Solve p-value and statistical deviation to accept or reject the null hyphothesis.
Solve the following problems in a step by step process.
Task #1 Solve p - value and statistical deviation to accept or reject the null hyphothesis. Directions: Solve the following problems in a step by step process. Write your solutions in a long bond paper and emphasize your final answer by writing it inside a box. 1. A random sample of 120 recorded deaths in the Philippines during the past years showed an average life span of 68.5 years. Assuming a population standard deviation of 8.2 years, does this seem to indicate that the life span today is less than 70 years? Use a 0.05 level of significance. 2. A manufacturer of sports equipment has developed a new synthetic fishing line that he claims has a mean breaking strength of 10 kg with a standard deviation of 0.75 kilogram. Test the hypothesis that p = 10 kilograms against the alternative that p # 10 kilogram if a random sample of 50 lines is tested and found to have a mean breaking strength of 9.5 kilograms. Use a 0.01 level of significance. 3. The Edison Electric Institute has published figures on the annual number of kilowatt expended by various home appliances. It is claimed that a water heater expends an average of 52 kilowatt hours per year. If a random sample of 15 homes included in a planned study indicates that water heaters expend an average of 48 kilowatt hours per year with a standard deviation of 12.2 kilowatt hours, does this suggest at the 0.05 level of significance that water heaters expend, on the average, less than 52 kilowatt hours annually? Assume the population of kilowatt hours to be normal. 4. An experiment was conducted for comparison the abrasiveness wear of two different electrical conductors. Fifteen pieces of conductor I were tested by exposing each piece to a machine measuring wear. Twelve pieces of conductor 2 were similarly tested. In each case, the depth of wear was observed. The samples of conductor I gave an average (coded) wear of 88 units with a sample standard deviation of 4.2, while the samples of conductor 2 gave an average of 84 units and a sample standard deviation of 4.8. Can we conclude at the 0.05 level of significance that the abrasive wear of conductor 1 exceeds that of conductor 2 by more 4 units? Assume the populations to be approximately normal with equal variances. 5. In a study conducted in the forestry and wildlife department at Virginia Polytechnic 2/3 Institute and State University, J.A. Wesson examined the influence of the drug succinylcholine on the circulation levels of androgens in the blood. Blood samples from wild, free - ranging deer were obtained via the jugular vein immediately after an intramuscular injection of succinylcholine using darts and a capture gun. Deer were bled again approximately 30 minutes after the injection and then released. The levels of androgens at time of capture and 30 minutes later, measured in nanograms per millilitre (ng/ml), for 15 deer are given in Table 1
