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C. Solve the following problems. Specify the details in each step of the solution process. 1. An airline claims that less than 6% of its entire lost luggage is never found. Test this claim, if in a random sample, 17 of 200 pieces of the airline's luggage are not found. Use 0.05 level of significance.2. The proportion of students who passed an engineering examination was 80% Students complained that they would have done better if they were allowed to use calculators. Later, a random sample of 90 students took this exam with calculators and 75 passed. Was this a significant improvement at 0.05 level? 3. The standard deviation of scores on a test of reaction time is 0.23 seconds. If a random sample of 250 scores on this test shows a mean of 0.92 seconds, test the hypothesis that the mean is 1 second at the 0.05 level. 4. A tire manufacturer claims that his tires will give good service to car owners for 40 000 miles. To prove this claim, he puts a random sample of 20 tires to the test. The mean of this sample turns out to be 38 300 miles with a standard deviation of 2 700 miles. Is the manufacturer's claim true at 0.01 level? 5. It is claimed that the average time spent by employees on telephone calls is less than 6 minutes. In a study of time spent on the telephone by its employees. a large office monitors a random sample of 27 employee calls and finds the mean length of these calls to be 5.8 minutes with a standard deviation of 1.4 minutes. Is the claim true at 0.05 level of significance