Question

A cosmetic powder is machine packaged in a process that puts approximately 50 g of powder in each package. The actual masses have a normal distribution with mean 50.5 and standard deviation 0.6. The manufacturers want to ensure that each package contains at least 49.5 g of powder. What percent of packages do not contain this much powder?

Name: a cosmetic powder is machine packaged in a process that puts approximately 50 g of powder in each package the actual masses have a normal distribution with mean 505 and standard deviation 06 07363
Uploaded: 2023-09-12T18:53:37-08:00
Duration: 1 min 46 s
Channel: Supreeta N
Description: a cosmetic powder is machine packaged in a process that puts approximately 50 g of powder in each package the actual masses have a normal distribution with mean 505 and standard deviation 06 07363

          A cosmetic powder is machine packaged in a process that puts approximately 50 g of powder in each package. The actual masses have a normal distribution with mean 50.5 and standard deviation 0.6. The manufacturers want to ensure that each package contains at least 49.5 g of powder. What percent of packages do not contain this much powder?

Added by Joseph B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Supreeta N

09/12/2023

Step 1

5 g of powder. To do this, we will use the z-score formula to standardize the value of 49.5 g in terms of the normal distribution with mean 50.5 g and standard deviation 0.6 g. Show more…

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A cosmetic powder is machine packaged in a process that puts approximately 50 g of powder in each package. The actual masses have a normal distribution with mean 50.5 and standard deviation 0.6. The manufacturers want to ensure that each package contains at least 49.5 g of powder. What percent of packages do not contain this much powder?