Use technology to solve the following problem: A bottler of drinking water fills plastic bottles with a mean volume of 1,000 milliliters (mL) and standard deviation 7 mL. The fill volumes are normally
Distributed. What proportion of bottles have volumes greater than 1,002 mL?
A) 1.0000
B) 0.9568
C) 0.6575
D) 0.3875

Question

Quizplus · Accepted Answer

Using the Z-score formula, Z = (X - μ) / σ, where X is the value of interest (1,002 mL), μ is the mean (1,000 mL), and σ is the standard deviation (7 mL). The Z-score for 1,002 mL is (1002 - 1000) / 7 = 0.2857. Looking up this Z-score in a standard normal distribution table or using a calculator gives a right-tail probability of approximately 0.3875, indicating the proportion of bottles with volumes greater than 1,002 mL.

Use Technology to Solve the Following Problem: a Bottler of Drinking