Question: Quality Control for many products involves breaking, destroying, or wearing out a number of the products in order to see exactly what it takes to

Quality Control for many products involves breaking, destroying, or wearing out a number of the products in order to see exactly what it takes to make the product stop working. Suppose that, for one product, 97% of all the units made at a particular factory can hold at least 800 lbs. of weight before breaking. To check the product, Quality Control selects a random sample of 400 units made at the factory and determines whether or not the product can hold at least 800 lbs. of weight before breaking. What is the probability that the randomly selected sample will have less than 96.5% of the units that can hold at least 800 lbs. of weight before breaking? (HINT: You'll need to find the mean and standard deviation of the sample percentages as a first step in finding this probability.)

Please give your answer below as a decimal, rounded to two decimal places.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!