Chapter 9 Homework1. Bostonâs welfare department has stated that the average annual per capita income for aparticularly depressed section of the city is $4,800, and the population standard deviation is$900. A citizenâs group has sampled 40 families from that section and found the average percapita income to be $4,500. At a 5% level of significance, would you accept or reject the welfaredepartmentâs figures? a. What type of hypothesis test is this (two-tailed, lower or upper tail)?State null and alternative hypotheses.b. Use the level of significance (ɑ) to determine the âcritical valueâ (cut-off point), draw on adistributionc. What does the level of significance mean in this problem?d. Compute the test statistice. Make a decision: Accept or Reject Hof. Interpret your decision2. An Omaha electronics firm has received a shipment of 200 special components designed tomaintain a constant power output, 64 watts, with a standard deviation of 4 watts. A sample of 36of these components produced an average of 64.8 watts. The firm in interested in knowing, atthe .02 significance level, if the manufacturerâs claim of 64 watts is true. a. What type ofhypothesis test is this (two-tailed, lower or upper tail)? State null and alternative hypotheses.b. Use the level of significance (ɑ) to determine the âcritical valueâ (cut-off point), draw on adistributionc. What does the level of significance mean in this problem?d. Compute the test statistice. Make a decision: Accept or Reject Hof. Interpret your decision3. For the domestic airline industry the amount of time each plane must spend in maintenance isa critical factor. The records show that for a sample of 49 planes, Central Airways averagedowntime is 12 hours. The industry average is 11 hours, and the standard deviation is 3.5 hours.At a significance level of .10, should the company conclude that its downtime differssignificantly from the industry average? a. What type of hypothesis test is this (two-tailed, loweror upper tail)? State null and alternative hypotheses.b. Use the level of significance (ɑ) to determine the âcritical valueâ (cut-off point), draw on adistributionc. What does the level of significance mean in this problem?d. Compute the test statistice. Make a decision: Accept or Reject Hof. Interpret your decision

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