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
Y_Kistochka [10]
3 years ago
14

While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem

s. The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013. Is this an unusually high number of faulty modems
Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = <em><u>population proportion</u></em>.

So, Null Hypothesis, H_0 : p = 0.013      {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, H_A : p > 0.013      {means that this is an unusually high number of faulty modems}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                             T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion faulty modems= \frac{10}{367} = 0.027

           n = sample of modems = 367

So, <u><em>the test statistics</em></u>  =  \frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }

                                     =  2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. <u>Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.</u>

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u><em>we reject our null hypothesis</em></u>.

Therefore, we conclude that this is an unusually high number of faulty modems.

You might be interested in
How do you find the equation of a line???
nevsk [136]

Answer:

y=mx+b

Step-by-step explanation:

b is wherever the line intersects the y axis.

m is the slope, rise/run. hope this helps! please mark brainliest!

8 0
2 years ago
3+2−16⋅9=?<br> can you help me
wel
-99..?? I think that’s the answer
7 0
3 years ago
Read 2 more answers
Rigid motion transformations produce images that:
igomit [66]

C. Moved to a different location but congruent in size and shape.

Rigid motion transformations are when a shape is moved, rotated, reflected, or any other type of transformation but the size and shape stay the same.

Non-rigid is when an object is moved but the size and shape can change.

Hope this helps :))

5 0
3 years ago
Help please! What is the answer ?
kupik [55]

Answer:

x < -3 or x > 3

second answer choice

Step-by-step explanation:

 The symbol "∨" between p and q represents a disjunction and can be replaced with the word "or" to turn p ∨ q into p or q.

Plug in x < -3 in for p and x > 3 for q, and now you have:

x < -3 or x > 3

which is the same as the second answer choice.

So, the answer is x < -3 or x > 3, or the second answer choice.

I hope you find my answer helpful.

7 0
3 years ago
Solve the following system: <br> 3x + 2y = 7 <br> -4.5x - 3y = -10.5
valentina_108 [34]

Answer:

<u>infinitely many solutions</u>

Step-by-step explanation:

The system of equations :

  1. 3x + 2y = 7
  2. -4.5x - 3y = -10.5

Multiplying Equation 1 times 3 and Equation 2 times 2 :

  • 9x + 6y = 21
  • -9x - 6y = -21

Putting the equations in standard form after simplifying :

  1. 6y = -9x + 21 ⇒ <u>y = -1.5x + 3.5</u>
  2. -6y = 9x - 21 ⇒ <u>y = -1.5x + 3.5</u>

<u />

As both equations are the same, the system will have <u>infinitely many solutions</u>.

4 0
2 years ago
Other questions:
  • jenna eats dinner at a restaurant. her bill is 14.50. jenna pays her bill and leaves a tip. write an inequality to represent the
    5·1 answer
  • An investigator wishes to estimate the proportion of students at a certain university who have violated the honor code. having o
    10·1 answer
  • Explain how to use the distributive property to find the product (3) ( 4 1 5 ) .
    15·2 answers
  • 3+(4×12) in word expressions
    12·1 answer
  • Can you solve the equation 2/3(4x-5)=8 by using the Division Property of Equality? Explain.
    15·1 answer
  • Find the distance between the points (4, 7) and (2, 2)
    7·1 answer
  • Please Help Will Give Lots of Points!
    12·2 answers
  • An exercise class had 18 people. If each person produced 1,900 BTUs of body heat during the class and the room is 28 ft × 32 ft
    8·2 answers
  • Px+6=5(x-q) <br><br> Pls help mee
    10·1 answer
  • NO LINKS!! CORRECT ANSWERS ONLY!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!