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
christina wants to buy a coach bag that normally costs $450. It goes on sale at a 15% discount. What is the amount of money bein
schepotkina [342]

Answer:

67.50

Step-by-step explanation:

100%-> 450

15%-> 67.50

3 0
2 years ago
Can someone please help me with this problem!
Anna71 [15]

Answer:

11 yards

Step-by-step explanation:

The volume of a cone formula is:

V=\frac{1}{3}\pi r^2 h

Where V is the volume,

r is the radius (half of diameter)

h is the height

Given,

h = 15

V = 475.17

We find the radius (r) first by substituting given values:

V=\frac{1}{3}\pi r^2 h\\475.17=\frac{1}{3}\pi r^2 (15)\\475.17=5\pi r^2\\r^2=30.25\\r=5.5

The radius (r) is 5.5 yards

We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:

Diameter = 5.5 * 2 = 11 yards

8 0
2 years ago
Write an equation to represent the direct proportional relationship between the amount of gratuity (9) received by a room servic
AleksandrR [38]

Oh wait this is confusing.. i think somebody asked this question and got it answered

so search it up on here

3 0
3 years ago
Read 2 more answers
Enter a digit into the missing boxes
Alenkasestr [34]

Answer:5

Step-by-step explanation:

because i said so

8 0
2 years ago
Read 2 more answers
What is 96 written in expanded form?
natita [175]

Answer:

90 + 6

Step-by-step explanation:

90 + 6 = 96

<u>ALTERNATIVE</u><u>:</u>

96 - 6 = 90

6 0
2 years ago
Other questions:
  • How many weeks will it take to play 20 tournaments
    13·1 answer
  • Y=2x-5<br> 4x-y=7 what is the value of x
    9·1 answer
  • A person whose eye level is 20 feet above the ground is looking at a building. The angle of elevation to the top of the building
    8·1 answer
  • The vertices of ΔABC are A(2, -5), B (-3, 5), and C (3, -3). The triangle is reflected over the x-axis. Use arrow notation to de
    6·2 answers
  • Malachy was thinking of a number. Malachy doubles it and gets an answer of 91.6. What was the original number?
    13·2 answers
  • Vertical lines always have an undefined slope true or false
    11·2 answers
  • Round to the nearst hundredh 58.635
    10·1 answer
  • Write an exponential function to model the following situation.
    5·1 answer
  • What is the value of y in the equation 4 + y = −3? (1 point) 7, 1, −1, −7
    9·1 answer
  • The graphs below have the same shape. What is the equation of the red graph?<br> G(x)=___
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!