Packages of sugar bags for Sweeter Sugar Inc. have an average weight of 18 ounces and a standard deviation of 0.2 ounces. The weights of the sugar packages are normally distributed. What is the probability that a sample of 16 randomly selected packages will not have a mean weight within 0.075 ounces of the population mean?

Use Excel or JMP to find probabilities and values. Do not round intermediate calculations. Round your final answer to four decimals. Use number format 0.0000 Do not use probability tables to find probabilities.