The area for a peanut butter jar costing more than $4.25 is 0.0143.
Z score is used to determine by how many standard deviations the raw score is above or below the mean, The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x= raw\ score, \mu=mean, \sigma=standard\ deviation[/tex]
Given that μ = 3.68, σ = 0.26
For x > 4.25:
[tex]z=\frac{4.25-3.68}{0.26} =2.19[/tex]
From the normal distribution table, P(z > 2.19) = 1 - P(z < 2.19) = 1 - 0.9857 = 0.0143 = 1.43%
The area for a peanut butter jar costing more than $4.25 is 0.0143.
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