Probability using binomial distribution

probability using binomial distribution

[nextleveltech]

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[gunasekhar]

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[franciskabengwa]

As part of her evaluation of municipal employees, the city manager audits the parking tickets issued by city parking officers to determine the number of tickets that were contested by the car owner and found to be improperly issued. In past years, the number of improperly issued tickets per officer had a normal distribution with mean μ = 380 and σ = 35.2 Because there has recently been a change in the city’s parking regulations, the city manager suspects that the mean number of improperly issued tickets has increased. An audit of 50 randomly selected officers is conducted to test whether there has been an increase in improper tickets. Using this sample data whose mean was found to be 390, test at α = 0.01 the research hypothesis that the mean number of improperly issued tickets is greater than 380. the audit generates the following data: n=50 and ȳ=390 state the null and alternative hypotheses;