FINAL TERM REVIEW – BUSINESS STATISTICS 25 April 20181.Fast runnerWhen I was growing up my father told me that our last name, Foos, was German for footbecause our ancestors had been very fast runners. I am curious whether there is any evidencefor this claim in my family so I have gathered running times for a distance of one mile from 6family members. The average healthy adult can run one mile in 10 minutes and 13 seconds(standard deviation of 76 seconds). Is my family running speed different from the nationalaverage?2.Land value taxIn a survey, 45% of the respondents stated that they pay land value tax (PBB) on time. A revenueofficer believed this result to be too high, so she randomly selected 150 building owners anddiscovered that 63 of them pay the land value tax on time. Does the revenue officer have a rightto be sceptical? Use the 0.1 level of significance.3.Taxi companyPT. Green Falcon Bandung is a local taxi company located in Bandung. Mr. Husen, the operationmanager, is urged to decide whether using radial tires will consume less fuel than using belttires. He conducted experiment using 15 cars with belted tires and 12 cars with radial tires. Theexperiment confirmed that the cars with radial tires showed the average fuel consumption of 8.5kilometers per liter and a standard deviation of 1.2 kilometers per liter. Meanwhile, the beltedtires experiment demonstrated a result of 7.5 kilometers per liter for its average gasolineconsumption with a standard deviation of 1.5 kilometers per liter.