A manufacturer advertises that the average life of batteries produced by his firm is at least 12 months. The consumer board disagrees, and claims that the average life of the batteries is less than 12 months. The consumer board test a random sample of 9 batteries and find that the mean life is 10.6 months with a standard deviation of 2. The consumer board's alternative hypothesis is:   A. The average life of the population of batteries is 12 months. B. The average life of the population of batteries is less than 12 months. C. The average life of the population of batteries is more than 12 months. D. The average life of the population of batteries is at least 12 monthsThe manufacturer of 'Road King'

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A manufacturer advertises that the average life of batteries produced by his firm is at least 12 months. The consumer board disagrees, and claims that the average life of the batteries is less than 12 months. The consumer board test a random sample of 9 batteries and find that the mean life is 10.6 months with a standard deviation of 2. The consumer board's alternative hypothesis is:

 
  • A. The average life of the population of batteries is 12 months.
  • B. The average life of the population of batteries is less than 12 months.
  • C. The average life of the population of batteries is more than 12 months.
  • D. The average life of the population of batteries is at least 12 monthsThe manufacturer of 'Road King' tyres claim that their tyres last an average of 70,000km or more. The Consumer Board suspects that this claim may be false (they have received some complaints) and decide to test the manufacturer's claim. The Consumer Board took a sample of size 500 from the population. They ran the tyres until they fail to meet the requirements for tread depth. The mean and standard deviation for the sample are respectively 69,914 and 2,131. The correct alternative hypothesis is:
     
    • A. Population mean life of tyres is equal to 70,000 km
    • B. Population mean life of tyres is more than 70,000 km
    • C. Population mean life of tyres is less than 70,000 km
    • D. Population mean life of tyres is 70,000 km or more

 

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