Answer:
The z-score of a bag containing 178 peanuts is -2.03.
Explanation:
A z-score is a normally distributed value with mean 0 and standard deviation 1. The distribution of these z-scores is known as the standard normal distribution.
The formula to compute z-score is:

The information provided is:
x = 178
μ = 184.7
σ = 3.3
Compute the z-score of a bag containing 178 peanuts as follows:


Thus, the z-score of a bag containing 178 peanuts is -2.03.