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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

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Answer:

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!

Answer:

0.0478

Step-by-step explanation:

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