A tire manufacturer wishes to investigate the tread life of its tires. A sample of 10 tires driven 50,000 miles revealed a sample mean of 0.32 inch of tread remaining with a standard deviation of 0.09 inch. Would it be reasonable for the manufacturer to conclude that after 50,000 miles the population mean amount of tread remaining is 0.30 inches? Use α = 0.05.
Hypotheses:
Null Hypothesis (H0): The population mean amount of tread remaining after 50,000 miles is 0.30 inches.
Alternative Hypothesis (Ha): The population mean amount of tread remaining after 50,000 miles is not 0.30 inches.
Type of test: Two-tailed test
Test Statistic: t-test
p-value:
Decision:
Conclusion: