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sample mean = 3.2
population standard deviation = 1 (known)
We are going to use z to test the official's claim,
Null hypothesis: Ho: μ ≤ 3
Alternative hypothesis: Ha: μ > 3
test statistic = (3.2 - 3)/(1/sqrt(10))
Critical value: z = 1.282
Conclusion: We cannot reject the null hypothesis.
Interpretation: We do not have sufficient evidence to conclude that the average car owner refilled the tank when there was more than 3 gallons left.
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