An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 310 minutes on a single gallon of regular gasoline. From his stock of engines,the inventor selects a random sample of 1800 engines for testing. The engines run for an average of 310.03 minutes, with a standard deviation of 15.86 minutes. Test the hypothesis that the mean run time is larger at a 0.05 level of significance.

The null and alternative hypothesis would be:

The test is: right-tailed, left-tailed, two-tailed

The test statistic is:________________(to 2 decimals)

The p-value is:_______________(to 4 decimals)

Based on this we:

• Reject the null hypothesis
• Fail to reject the null hypothesis