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.

39 31 38 40 29
32 33 39 35 32
32 27 30 31 27
30 29 34 36 25
30 32 38 35 40
29 32 31 26 26
32 26 30 40 32
39 37 25 29 34

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 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.

39	31	38	40	29
32	33	39	35	32
32	27	30	31	27
30	29	34	36	25
30	32	38	35	40
29	32	31	26	26
32	26	30	40	32
39	37	25	29	34

anonymous · Answer

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.)

kropot72 · Answer

To find the point estimate of the mean of the sample:
a) Add the forty measurements.
b) Divide the result of a) by 40.

anonymous · Answer

32.3?

anonymous · Answer

@kropot72 now what?

kropot72 · Answer

Now find the number of units in the sample which have a lifespan of less than 26 days, that is the number of defective units in the sample. Divide that number by 40 to find the point proportion of the defective units.