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
motikmotik
3 years ago
10

When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that 1334 of them were not pum

ping accurately​ (within 3.3 oz when 5 gal is​ pumped), and 5663 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than​ 20% of the pumps are inaccurate. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution.

Mathematics
1 answer:
Alchen [17]3 years ago
3 0

Answer:

We accept H0, Therefore we conclude that there is no evidence to support the claim that less than 20% of the pumps are inaccurate.

Step-by-step explanation:

We have,

x = 1334

n = 1334 + 5663 = 6997

we have to:

p = x / n = 1334/6997 = 0.1907

The hypothesis is:

H0: P = 0.20

H1: P <0.20

P = 0.2 and Q = 1 - P = 0.8

the test statistic is:

Z = (p - P) / [(P * Q / n) ^ (1/2)]

replacing:

Z = (0.1907 - 0.20) / [(0.2 * 0.8 / 6997) ^ (1/2)]

Z = -1.96

now, the p-value is

P = 0.0250, from normal table, attached

Here p-value> 0.01, so we accept H0, Therefore we conclude that there is no evidence to support the claim that less than 20% of the pumps are inaccurate.

You might be interested in
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility
pashok25 [27]

Answer: a) D = √148

                 m = (-5,4)

b) D = √241

m = (1, 7.5)

c) D = √20

m = (0,-4)

Step-by-step explanation:

Distance and Midpoint Formulas

distance = D = √[(x₂-x₁)² + (y₂-y₁)²]

Midpoint: m = ((x₂+x₁)/2 , (y₂+y₁)/2)

(−4, 10) and (−6, −2)

D = √[(-6-(-4))² + (-2-10)²] = √[(-6+4))² + (-2-10)²] = √[(-2))² + (-12)²] =

√[4 + 144] = √148

m = ((-6+(-4))/2 ; (-2+10)/2

m = (-10/2 ; 8/2)

m = (-5,4)

(−1, 15) and (3, 0)

D = √[(3-(-1))² + (0-15)²] = √[(3+1))² + (0-15)²] = √[(4)² + (-15)²] =

√[16 + 225] = √241

m = ((3+(-1))/2 ; (0+15)/2

m = (2/2 ; 15/2)

m = (1,7.5)

(2, −3) and (−2, −5)

D = √[(-2-2)² + ((-5)-(-3)²] = √[(-4))² + (-5+3)²] = √[(-4)² + (-2)²] =

√[16 + 4] = √20

m = (-2+2))/2 ; (-5+(-3))/2

m = (0/2 ; -8/2)

m = (0,-4)

3 0
3 years ago
The fact that lower-income families will spend a higher percentage of their income on taxable items than higher-income families
nikdorinn [45]

Answer:

Regressive tax

4 0
3 years ago
Read 2 more answers
Dividing a Fraction into Equal Groups
Sergeu [11.5K]

Answer:

Each hiker carried the backpack for 1/5 of the total trail distance

Step-by-step explanation:

Three members of a teen hiking group hiked 3/5  of the entire Appalachian trail, each teen carried the backpack the same distance

=>  each teen carried the backpack for = (1/3) (3/5)  of total Distance = 1/5  

3 0
2 years ago
Which of the following options is an equivalent function to f(x) = 4(3)2x?
Nataliya [291]

Answer: Option D is correct .

Step-by-step explanation:

Since we have given that

f(x)=4(3)2x

f(x)=24x

In option D,

f(x)=4(6x)\\\\f(x)=24x

Otherwise ,

In all other options , there is no other function whose value comes out to be 24x.

Like , in option b,

f(x)=4(9)=36x

which is not equivalent to

f(x)=4(3)2x

Hence, option D is correct.

5 0
3 years ago
Read 2 more answers
In how many ways can seven runners win first,second,and third places?
kap26 [50]
210 ways. This is a permutation question. Thus, insert 7P3 means 7 runners there is 3 places to be occupied. (7P3=210ways)
4 0
3 years ago
Other questions:
  • George is buying a 425,600 home? How much is he financing if he putting 25% down payment
    5·1 answer
  • Can anyone help me with this question​
    12·1 answer
  • There are 20 people competing in a contest, first place earns $100, second place earns $50 and third place earns $25. how many w
    10·1 answer
  • Angelo knew that 64 = 8 × 8.
    11·1 answer
  • mrs smith bought 3 1/2 yards of yellow fabric. she uses 2/3 of the fabric to make a pumpkin costume. how much fabric did she use
    13·2 answers
  • I need a answer in simple terms on how to write things in y intercept form and use that to graph lines.
    9·1 answer
  • Find the missing side of the triangle.​
    8·2 answers
  • PLEASE HELP
    12·1 answer
  • Find the perimeter of the shape below. 4 cm 8 cm 14 cm 4 cm 6 cm 8 cm​
    14·1 answer
  • Hello! someone please answer this. this is due tomorrow, Monday and I don't get any of it. ty!​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!