1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mashcka [7]
3 years ago
15

A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l

ife of 95 months with a standard deviation of 5 months. If the claim is true, what is the probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

<u><em>Step(ii):-</em></u>

<u><em>The Empirical rule</em></u>

         Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }

        Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }

       Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

    P(X⁻ ≥ 96.3) = P(Z≥2.383)

                      =  1- P( Z<2.383)

                      =  1-( 0.5 -+A(2.38))

                      = 0.5 - A(2.38)

                     = 0.5 -0.4913

                    = 0.0087

<u><em>Final answer:-</em></u>

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

You might be interested in
Please help.. The math department is putting together an order for new calculators. The students are asked what model and color
Katena32 [7]

Answer:

The answer is D. Here is proof. PLEEEAAASE mark brainliest.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Suppose you invest 16000 at 9% interest and that it is compounded daily. How much will you have in 8 years?
forsale [732]

Answer:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one.

Step-by-step explanation:

5 0
3 years ago
In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?
Makovka662 [10]
The sum of the angles of a triangle ALWAYS sum up to 180 degrees.  So to find the other angle, you would take 180, subtract 90, and then subtract 26, to get 64.
The measure of the 3rd angle equals 64.
5 0
3 years ago
Explain and find CD please
oksano4ka [1.4K]

Answer:

CD \approx5.29

Step-by-step explanation:

By geometric mean theorem:

CD=\sqrt {AD\times BD}  \\  \\ CD=\sqrt {7\times 4}  \\  \\ CD=\sqrt {28}  \\  \\ CD=5.29150262 \\  \\ CD \approx5.29

4 0
2 years ago
37,831 thousand in standard form
saveliy_v [14]
30 000 + 7 000 + 800 + 30 + 1
8 0
3 years ago
Read 2 more answers
Other questions:
  • 81,924+3,827 equals
    11·2 answers
  • If 3x - 1 = 11, what is the value of x2 + x?
    5·1 answer
  • I need help with 1-6
    10·1 answer
  • Find equation of the line passing through the points (3,3) and (4,5)
    5·1 answer
  • You can remember the three numbers to your combination lock, but you can't remember their order. How many different combinations
    15·2 answers
  • I just cant with word problems. PLEASE help.
    12·1 answer
  • Plz help ASAP!!!!!!!!!!!
    13·1 answer
  • 5. What method can be use to prove the triangles below are congruent?
    10·2 answers
  • jason sees that 2 out of every 5 cars that passes by his house has the windshield wipers on. What is the probability that that o
    6·1 answer
  • A Gallup Poll showed that 30% of Americans are satisfied with the way things are going in the United States. Suppose a sample of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!