Suppose a group of veterinarians are investigating whether neutering Golden Retrievers have increased the cases of various forms of cancer. Suppose a random sample of 50 Golden Retrievers which were not neutered was enrolled in a study and at the end of the years long study, the mean is calculated. (Round all z-scores to the hundredths and round the probabilities to the ten-thousandths place. Assume a current population mean of 11.60 years and population standard deviation of 1.75 years.) What is the probability that the mean lifespan of the sample of dogs will be between 10 years and 11 years