An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 5 hours (300 minutes) on a single gallon of regular gasoline. From his stock of 2000 engines, the inventor selects a simple random sample of 40 engines for testing. The engines run for an average of 295 minutes, with a standard deviation of 20 minutes. Test the null hypothesis that the mean run time is µ = 305 minutes against the alternative hypothesis that the mean run time is not 305 minutes. Use p = .08. (Assume that run times for the population of engines are normally distributed.) SE = s / √( n )      t = (x - μ) / SE Compute the standard error (SE)  _____________  Degrees of freedom (df)  ___________________ t-test statistic (t)  __________________________

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 An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 5 hours (300 minutes) on a single gallon of regular gasoline. From his stock of 2000 engines, the inventor selects a simple random sample of 40 engines for testing. The engines run for an average of 295 minutes, with a standard deviation of 20 minutes. Test the null hypothesis that the mean run time is µ = 305 minutes against the alternative hypothesis that the mean run time is not 305 minutes. Use p = .08. (Assume that run times for the population of engines are normally distributed.)

SE = s / √( n )     

t = (x - μ) / SE

Compute the standard error (SE)  _____________

 Degrees of freedom (df)  ___________________

t-test statistic (t)  __________________________ 

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