Answer:
13.928 ounces
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 16 ounces
μ is the population mean = ??
σ is the population standard deviation = 2 ounces
Given that 15% of these cucumbers weigh more than 16 ounces,
= 100 - 15 = 85
We find the z score for a 85th percentile using the percentile table = 1.036
Hence
1.036 = 16 - x/2
Cross Multiply
1.036 × 2 = 16 - x
2.072 = 16 - x
2.072 - 16 = -x
-13.928 = -x
x = 13.928 ounces
Therefore, the mean weight is 13.928 ounces
