he manufacturer of the X-15 steel-belted redial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Crosset Truck Company bought a sample of 48 tires and found that the mean mileage for its trucks is 59,000 miles (i.e. less than the manufacturer’s claim) with a standard deviation of 5,000 miles. Test the manufacturer’s claim at a significance level (α) equals 5%. Would your answer in (1) change if significance level become 10%? Would your answer in (1) change if the probability of type I error equals zero? Justify your answer If the same sample results had been obtained from a random sample of 125 tires, could your decision about the manufacturer’s claim changed using α=0.01 and comment on the results. Based on the sample size in (4), construct a 95% confidence level for the mean of mileage and comment on the results.

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he manufacturer of the X-15 steel-belted redial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Crosset Truck Company bought a sample of 48 tires and found that the mean mileage for its trucks is 59,000 miles (i.e. less than the manufacturer’s claim) with a standard deviation of 5,000 miles.

  1. Test the manufacturer’s claim at a significance level (α) equals 5%.
  2. Would your answer in (1) change if significance level become 10%?    
  3. Would your answer in (1) change if the probability of type I error equals zero? Justify your answer
  4. If the same sample results had been obtained from a random sample of 125 tires, could your decision about the manufacturer’s claim changed using α=0.01 and comment on the results.
  5. Based on the sample size in (4), construct a 95% confidence level for the mean of mileage and comment on the results.

dear, the last 2 questions are still pending 

regards

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