The amount of meat on a Subbies foot-long sub follows a Normal distribution, with a mean of 8 ounces and a standard deviation of 0.6 ounce. A random sample of 25 subs is selected every day and measured. What is the probability that the mean weight will exceed 8.2 ounces

The probability is 0.0478 that the mean weight will exceed 8.2 ounces.

Step-by-step explanation:

1. Find the mean and standard deviation of the sampling distribution of x.

µx = µ = 8

σₓ = σ/√n = 0.6/√25 = 0.12

2. Since we know the meat on a Subbies foot-long has a sampling distribution of N(8, 0.12), we can use Normal probability calculations:  

normalcdf(8.2, 9999, 8, 0.12) = 0.0478

Hope this helped!