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Test of Hypothesis Solve the following problems. Follow the steps in testing the hypothesis. 1) It is claimed that an automobile is driven on the average more than 20,000 kilometers per year. To test this claim, a random sample of 100 automobile owners are asked to keep a record of the kilometers they travel. Would you agree with this claim if the random sample showed an average of 23,500 kilometers and a standard deviation of 3900 kilometers? Use a = 0.05 in your conclusion. CLAIM: Ho H1 Level of significance Type of test IV Critical Region V Test Statistic VI DECISION VII CONCLUSION Activate Go to Sett2) An investigating several complaints concerning the weight of the "NET WT. 12 0z" jar of a local brand of peanut is less than this value. The Better Business bureau selected a sample of 36 jars. The sample showed an average net weight of 11.92 ounces and a standard deviation of 0.3 ounce. Using a 0.01 level of significance, what would the Bureau conclude about the operation of the local firm? CLAIM: Ho H1 Level of significance Type of test IV Critical Region V Test Statistic VI DECISION VII CONCLUSION Activate Go to Sett3. The Edison Electric Institute has published figures on the annual number of kilowatt hours expended by various home appliances. It is claimed that a vacuum cleaner expends an average of 46 kilowatt hours per year. If a random sample of 12 homes included in a planned study indicates that vacuum cleaners expend an average of 42 kilowatt hours per year with a standard deviation of 11.9 kilowatt hours, does this suggest at the 0.05 level of significance that vacuum cleaners expend, on the average, less than 46 kilowatt hours annually? Assume the population of kilowatt hours to be normally distributed with a = 0.01 CLAIM: Ho H1 Level of significance III Type of test IV Critical Region V Test Statistic VI DECISION VII CONCLUSION Activa4. A car is advertised as having a gas mileage rating of at least 30 miles per gallon. If the miles per gallon in 10 independent experiments are 26, 24, 20, 25, 27, 25, 28, 30, 26, 33, should you believe the advertisement? Use 0.05 & 0.01 level of significance. CLAIM: Ho H1 Level of significance Type of test IV Critical Region V Test Statistic VI ECISION VII CONCLUSION Activ Go to5. A random sample of size n1: 25, taken from a normal population with a standard deviation o1: 5.2, has a mean 171 = 81. A second random sample of size n2 = 35, take from a normal population with a standard deviation o: = 3.4, has a mean I: = T5. Test the hypothesis than p1= p2 against the alternative, in? H2. Use a 0.05 level of significance. Level of significance Type oftest Critical Region Te st Statistic DECISION 1ll'll CONCLUSION