Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

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 test for 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 than 26 days, it is considered defective. The table gives the sample data that a quality control manager collected.


The point estimate of the mean of the sample is ___, and the point proportion of the defective units is ___

(Give your answers as decimal numbers rounded off to the nearest hundredth.)

Answer 1

The point estimate of the mean of the sample is 32.3 , and the point proportion of the defective units is 0.05 .

Step-by-step explanation:

Answer 2

Answer: The mean of the samples is 32.325.

Proportion of the defective unit is =
`(2)/(40)=(1)/(20)=0.05`

Step-by-step explanation:

The point estimate of the mean of the sample:

First calculate the mean of the 40 samples:

`\frac{\text{Sum of all the samples}}{\text{Number of observations}}`

`(1,293)/(40)=32.325`

The mean of the samples is 32.325.

Defected pieces in the samples whose life span is less than the 26 days = 2

Proportion of the defective unit is =
`(2)/(40)=(1)/(20)=0.05`