Question

A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40 units to testfor quality. The product is put through a wear-and-tear test to determine the number of days it can last. If the product has a lifespan of less than26 days, it is considered defective. The table gives the sample data that a quality control manager collected., The point estimate of the population mean isand the point estimate of the proportion of defective units is

Answer 1

Step 1

Given;

Required; Find the point estimate of the proportion of defective units

Step 2

Since the mean of the samples is given as;

$32.3$

Defected pieces in the samples whose life span is less than 26 days = 2. That is 25 and 25.

Thus;

$\frac{2}{40}=\frac{1}{20}=005$

Answer; The point estimate of the proportion of defective units is;

$0.05$