A racing car consumes a mean of 106 gallons of gas per race with a standard deviation of 6 gallons. If 33 racing cars are randomly selected, what is the probability that the sample mean would be greater than 103.7 gallons? Round your answer to four decimal places.

The probability is  

Step-by-step explanation:

From the question we are told that

  The population mean is  

   The population standard deviation is  

    The sample size is  

Generally the standard deviation of sample mean is mathematically represented as  

=>      

=>      

Generally the probability that the sample mean would be greater than 103.7 gallons is mathematically represented as

Generally  

So

From the z table  the probability of (Z > -2.203 ) is  

So