100 pieces space defective based on statistics, but you cannot be sure unless you go througj all of them.

You are watching: Which statement is true about the population proportion of defective pieces in the 2,000 items?

B. 100 pieces need to be defective.

Step-by-step explanation:

Let"s calculate a projection of how plenty of defective products we should have actually in a production of 2,000 devices a day, based upon the top quality sample that 40 systems provided.

So, we have actually 40 units sampled, out of those 40, 2 units are defective.

We"ll assume the sampling is representative of the overall quality of the production.

How much bigger is the day-to-day production (2,000) contrasted to the sampling (40)? 2,000 / 40 = 50.

So, the production is 50 times bigger than the sample.

Since we uncovered 2 defective systems in the sampling, we might assume 100 (2 x 50) defective devices in the day-to-day production the 2,000.

Although i would change "must" through "should" in the wording that the answer, since we cannot be certain it will certainly be specifically 100, can be 97 or 101.

It"s 100

Because You multiply the sample proportion to 2000

Option b is the exactly answer.

b) 100 pieces need to be defective.

Step-by-step explanation:

The table shows the data that the variety of days the 40 devices of item would last,

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

Also, If the product has actually a expectancy of much less than 26 days, that is thought about defective.

So, the number of items which are defective the end of 40 items are: 2

Hence, the proportion of items that room defective out of 40 items are:

2/40=1/20

Hence, the variety of defective items the end of 2000 items are:

Hence, variety of defective items out of 2000 are: 100

Hence, option a), c) and e) are incorrect.

Also, the populace proportion that defective item is:

1/20

and sample ratio is:

40/2000=1/50

as both room not equal.

Hence alternative d) is incorrect.

The best answer is: there is insufficient data to calculate the proportion of defective pieces.

Step-by-step explanation:

We understand the sample that 40 has actually 2 defective, however, we perform NOT know if the is for every 2000 items. It does not median it will certainly be specifically 100 systems or an ext or less.

The prize is 100 defective units.
The answer friend are in search of is E
Yep ns gotta speak 100

### Other concerns on the subject: Mathematics

Mathematics, 21.06.2019 17:30, chloerodgers56
In a probability experiment, karen flipped a coin 76 times. The coin came down on heads 32 times. What percent of the coin flips caused tails? ring to the nearest percent. A. 58% b. 65% c. 42% d. 60%
continue
Mathematics, 21.06.2019 17:40, sophiateaches053
If sec theta = 5/3 and also the terminal suggest determined through theta is in quadrant 4, then
continue
Mathematics, 21.06.2019 17:50, amcdonald009
To solve the device of equations below, elegant isolated the change y in the first equation and then substituted into the 2nd equation. What was the resulting equation? 3y=12x x^2/4+y^2/9=1
continue
Mathematics, 21.06.2019 19:40, NobleWho
Neoli is a nurse that works each day indigenous 8: 00 am to 4: 00 pm in ~ the blood collection centre. She takes 45 minutes because that her lunch break. Top top average, it takes neoli 15 minutes to collection each sample and also record the patient"s details. ~ above average, how many patients have the right to neoli see each day?
continue
Which statement is true around the populace proportion that defective piece in the 2000 items produc...

### Questions in various other subjects:

Mathematics, 24.07.2020 16:01
At which worth in the domain does f(x)=0? top top a coordinate plane, a duty goes through the x-axis in ~ (negative 2.5, 0), (negative 0.75, 0), (0, an adverse 3), and (1, 0)....
Physics, 24.07.2020 16:01
How would the accuracy that your identified Keq change if all of your volume dimensions were made through graduated cylinders fairly than pipets...
Mathematics, 24.07.2020 16:01
F(x) =- 6x5 + 4x3Which characteristic is correct because that the function...
Physics, 24.07.2020 16:01
Due come a jaw injury, a patience must have actually his head sustained by astrap the produces a network upward force of 5.00 N ~ above his chin. Thetension is the same throughout the strap. T...
Physics, 24.07.2020 16:01
How much present will it is in flowing through a 40.0 m length of cylindrical metal wire through radius 0.0 mm if it is connected to a source supplying 16.0 V...
Computers and also Technology, 24.07.2020 16:01
Management info system space often combined with...
Computers and also Technology, 24.07.2020 17:01
QUESTION 6 which of the adhering to is a class A IPv4 address? a. 118.20.210.254 b. 183.16.17.30 c. 215.16.17.30 d. 255.255.0.0...
Mathematics, 24.07.2020 17:01
1. A survey shows that 15% of registered nurses are gift underpaid in a hospital the employs 200 nurses. (i) construct a 90% trust interval to represent the proportion of underpaid nur...
On January 2, 2020, Howdy Doody Corporation purchase 15% of Ranger Corporation"s usual stock because that \$59,000. Ranger"s net revenue for the years finished December 31, 2020, and December...
Physics, 24.07.2020 17:01
Which of the adhering to is true of an isothermal process?O A. AU = 0B. Volume is constant.C. Temperature is constant.O D. W = 0
More questions: MathematicsAnother questions
See outcomes (0)
The price is no found?
Email
Too short question
Next
Email
You room registered.Access to her account will certainly be opened up after verification and publication the the question.

Next
Email
OkClose
Email
Question
Pick a subject