The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 44,663 miles, with a standard deviation of 2594 miles. What is the probability that the sample mean would differ from the population mean by less than 199 miles in a sample of 209 tires if the manager is correct?

The probability is  

Step-by-step explanation:

From the question we are told that

   The mean mileage of a tire is  

   The standard deviation is  

   The sample size is  n  =  209

 Generally the standard error of mean is mathematically represented as

=>    

=>        

Generally  the probability that the sample mean would differ from the population mean by less than 199 miles  is mathematically represented as

=>  

=>  

=>  

=>  

From the z  table  the area under the normal curve to the left corresponding to 1.11 and -1.11 is  

and

So

=>  

could you give more information?

6 cm

step-by-step explanation: