When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that of them were not pumping accurately​ (within 3.3 oz when 5 gal is​ pumped), and 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. Identify the null hypothesis and alternative hypothesis. A. ​: p0.2 ​: p0.2 B. ​: p0.2 ​: p0.2 C. ​: p0.2 ​: p0.2 D. ​: p0.2 ​: p0.2 E. ​: p0.2 ​: p0.2 F. ​: p0.2 ​: p0.2 The test statistic is z nothing. ​(Round to four decimal places as​ needed.) The​ P-value is nothing. ​(Round to four decimal places as​ needed.) Because the​ P-value is ▼ greater than less than the significance​ level, ▼ fail to reject reject the null hypothesis. There is ▼ insufficient sufficient evidence support the claim that less than​ 20% of the pumps are inaccurate.

Answers

Answer 1

Complete question :

When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that 1294 of them were not pumping accurately​ (within 3.3 oz when 5 gal is​ pumped), and 5705 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.

Answer:

H0​: p=0.2

H1​: p<0.2 ;

- 3.16 ;

0.0008 ;

p value is < α ; We reject the Null.

Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate

Step-by-step explanation:

The null hypothesis ; H0 : p = 20%

Alternative ; H1 : p < 20%

Sample size, n = 1294 + 5705 = 6999

p = inaccurate / total

p = 1294 / 6999 = 0.1849

The test statistic (Z) :

(P - P0) ÷ sqrt((P0(1 - P0)) /n)

P0 = 0.2

(0.1849 - 0.2) ÷ sqrt((0.2 * 0.8)/6999))

−0.0151 ÷ 0.0047812

= - 3.1582029

= - 3.16

Pvalue : using the Pvalue from Zstatistic calculator at α = 0.01

P value = 0.000789

P value = 0.0008 (4 decimal places).

Since p value is < α ; We reject the Null.

Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate


Related Questions

Help
Please ..................

Answers

Plug in -11 for x
8(-11) + 2.
-86

Answer:

-86

Step-by-step explanation:

Substitute -11 for x in the equation:

8(-11)+2

=-88+2

=-86

which of the following is not a composite number a6 b7 c8 d9​

Answers

Answer:

7 isn't a composite number

Step-by-step explanation:

Answer:

7, it's a prime number

Step-by-step explanation:

Riley planed 4 rows of pumpkins. There were 1,205 plants in each row. How many pumpkins plants did Riley plant?

Can anyone help me thank you

Answers

Riley planted 4,820 pumpkins

Find the GCE.
10rs, 35rst

Answers

The GCE of 10 and 35 is 5

Solve for r 5r^2+5=130

Answers

Answer:

Simplifying

5r2 + 5 = 130

Reorder the terms:

5 + 5r2 = 130

Solving

5 + 5r2 = 130

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 5r2 = 130 + -5

Combine like terms: 5 + -5 = 0

0 + 5r2 = 130 + -5

5r2 = 130 + -5

Combine like terms: 130 + -5 = 125

5r2 = 125

Divide each side by '5'.

r2 = 25

Simplifying

r2 = 25

Take the square root of each side:

r = {-5, 5

Graph x+y=3 , ILL MARK BRAINLIST

Answers

The answer is d when you graph

Answer:

Are you sure?

None

Step-by-step explanation:

A. x= -3 , y= 3

x + y =

-3 + 3 = 0

B. x= -3 , y= -3

x + y =

-3 + -3 = -6

C. x= 3 , y= 3

x + y =

3 + 3 =6

D. x= 3 , y= -3

x + y =

3 + -3 = 0

Three oil companies, A, B and C, are exploring for oil in an area. The probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20. If B discovers oil, the probability that A will also discover oil is increased by 20%. Assume that the chance of C discovering oil is independent of A and B.
i) What is the probability that oil will be discovered in the area by one or more of the three companies?
ii) If oil is discovered in the area, what is the probability that it will be discovered by company C?

Answers

Answer:

Step-by-step explanation:

i )

the probability that oil will be discovered in the area by one or more of the three companies = probability of oil to be discovered by one company + probability that oil will be discovered by two companies + probability that oil will be discovered by three companies.

probability of oil to be discovered by one company = .40 x .40 x .80 + .60 x .60 x .80 + .60 x .40 x .20 = .128 + .288 + .048 = .464

probability that oil will be discovered by two companies = probability to be discovered by A and B and not discovered by C + probability to be discovered by A and C and not discovered by B + probability to be discovered by B and C and not discovered by A

= .40 x .80 x .80 + .40 x .20 x .40 + .60 x .20 x .60

= .256 + .032 + .072

= .36

probability that oil will be discovered by three companies.

= .40 x .60 x .20 = .048

Total probability = .464 + .36 + .048 = .872

ii )

Probability of discovery by C = Probability by C and not by A and B + Probability by C and A and not by B + Probability by C and B and not by A

+ Probability by A , B and C .

= .20 x .6 x .4 + .20 x .40 x .40 +  .20 x .60 x .60 + .40 x .60 x .20

= .048 + .032 + .072 + .048

= .20

If oil is discovered in the area, what is the probability that it will be discovered by company C = .20 / .872

= .23

The probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.

Given that three oil companies, A, B and C, are exploring for oil in an area, and the probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20, and if B discovers oil, the probability that A will also discover oil is increased by 20%, assuming that the chance of C discovering oil is independent of A and B, to determine 1) what is the probability that oil will be discovered in the area by one or more of the three companies, and 2 ) if oil is discovered in the area, what is the probability that it will be discovered by company C, the following calculations must be made:

1)

The discovery probabilities of 1, 2 or 3 companies must be added. (0.40 x 0.40 x 0.80 + 0.60 x 0.60 x 0.80 + 0.60 x 0.40 x 0.20) + (0.48 x 0.60 x 0.80 + 0.40 x 0.60 x 0.20 + 0.60 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) (0.128 + 0.288 + 0.048) + (0.2304 + 0.048 + 0.072) + 0.048 = X 0.464 + 0.3504 + 0.048 = X 0.8624 = X

2)

1.20 = 100 0.20 = X 0.20 x 100 / 1.20 = X 20 / 1.20 = X 16.66 = X

Therefore, the probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.

Learn more about maths in https://brainly.com/question/26138968

1) In statistics, the average is also
known as
O a) Mean
b) Median
c) Tally Marks
O d) Mode​

Answers

Answer:

In statistics the average is also known as mean.

Ans: mean

The average is also known as mean.

Please tell me the answer to this. Very easy points if you ask me.
x + 8x = ?

Answers

x + 8x = 9x

(like 1 + 8 but with x's)

There is a line who slope is 3 and who’s Y intercept is -10. Right it’s equation in slope intercept form

Answers

Step-by-step explanation:

substitute the given value in the standard form equation. it will give you the slope intercept form

a hotel ballroom is decorated with tulips, roses and peonies. The ratio of the number of tulips to the number of roses in the ballroom. there are 575 stalks of flowers in the ballroom altogether. how many tulips are there​

Answers

Answer:

200 tulips

Step-by-step explanation:

The computation of the number of tulips are shown below:

Given that

Ratio of number of tulips to number of ratios is 2:3 we can write 8:12

And, the peonies to roses are 1:4 we can write as 3:12

So,

Tulips : Roses : Peonies

8:12:3

Now

Total units of flowers + 8 + 12 + 3

= 23

For tulips it would be

= 575 × 8 ÷ 23 units  

= 200 tulips

Andrew wants to buy new shirts for his job.

Andrew wants to buy at least 5 new shirts to wear to his new job.
Short sleeve shirts cost $14 each and long sleeve shirts cost $18 each.
Andrew wants to spend no more than $100.
Which system of inequalities can be used to find how many short sleeve shirts, x, and how many long sleeve shirts, y, he can buy?

Answers

Answer:

my anm,e is andrew and i dont have a job :/

Step-by-step explanation:

Answer:  

x + y ≤ 5

14x + 18y ≥ 100

Step-by-step explanation:

just trust me

never trust strangers

PLEASE HELP (25 point!!)

On the coordinate plane shown below, points G and I have coordinates (6,4) and (3,2), respectively.

(graph shown below)

A. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
and I on a coordinate plane. Use complete sentences to describe the strategy.

B. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your
final answer, include all of your calculations.

C. Use the distance formula and the coordinates of points and I to prove that the Pythagorean theorem is an
alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of
your calculations

Answers

Answer :Given : points G and I have coordinates (6,4) and (3,2)

To Find : Use  Pythagorean theorem  to calculate the straight line distance between points G and I

Solution:

points G and I have coordinates (6,4) and (3,2)

Draw a line parallel to y axis passing through G

Draw a line parallel to x axis passing through I

Intersection point K ( 6 , 2)

IK = 6 - 3 = 3

GK = 4 -2  = 2

ΔIKG right angled triangle

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

GI² = IK² + GK²

=>  GI²  = 3² + 2²

=>  GI²  = 13

=> GI = √13

using distance formula

G (6,4) and I (3,2)

= √(6 - 3)² + (4 - 2)²

= √3² + 2²

= √9 + 4

= √13

Learn More:

different approaches of Pythagoras theorem​ - Brainly.in

brainly.in/question/10516214

13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...

brainly.in/question/19749562

Geometry problem above ^ ABC is similar to...

Answers

Answer:

B. 20 units

Step-by-step explanation:

You can see that the each of the sides of triangle XYZ are half the length of each the sides of triangle ABC.

So 40 / 2 = 20 units

Hope that helps!

Draw a model to show 3/4 of 16.

Answers

Answer:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Step-by-step explanation:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Hope that helps!

hope this helps?? sorry the model is abit messy

can I get some help finding the area of these 2 shapes plz!

Answers

Answer: Triangle is 28 and the  Parallelogram is 50

Step-by-step explanation:

For the triangle 8×7=56 and then we divide it by 2 so,

56÷2=28

And, for the parallelogram it would be  50 because 5×10 is 50.

10 Which value of x makes the inequality 3x+3 > 15
true?
A x= 5
B. x = 2
C. x= 3
D. x = 4

Answers

Answer:

A, x=5

Step-by-step explanation:

By simplifying the inequality we get:

The only answer that is greater than 4 is A.

Answer:

yes

Step-by-step explanation:

15. 12 kg çilekten 6 kg reçel
yapılıyor.
22 kg reçel yapmak
için kaç kg çileğe ihti-
yaç olur?​

Answers

Answer:

12kg

Step-by-step explanation:

because 2×2×2+4=12

jskgx

Zoey surveyed 580 of the students in her school about their favorite color. 35% said their favorite color was purple. How many students' favorite color was purple?

Answers

Answer:

203 students surveryed purple as their favorite color

Step-by-step explanation:

Let's set this up like a fraction

Percentages are always out of 100 so the denoninator will be 100

Since the number of students who's favorite color is equal to 35%, we will equal both fractions together

Variable x = number of students for purple

x/580 = 35/100

Cross multiply

x × 100 = 580 × 35

100x = 20,300

Isolate the variable by dividing both sides by 100

x = 203

203 students surveryed purple as their favorite color

A gym teacher placed golf balls into 9
buckets so that each bucket had at least 15
balls. How many total golf balls are there?

Answers

your answer is at least 135
135 because you do 15*9 witch equals 135

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

28ft

Step-by-step explanation:

consider the two functions. which statement is true?

Answers

we need to see the first function

Answer:

The right answer is D

Step-by-step explanation:

The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].

What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches

Answers

Answer:

V≈166.67

Step-by-step explanation:

V=ABh

3=100·5

3≈166.66667

Answer:

166 2/3

Step-by-step explanation:

The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.

1. Socks are on sale at 10% discount. What is the sale price of a pair of socks originally
marked #125.00?​

Answers

Answer:

10/100 = x/125

1250 = 100x

1250/100 = 100x/100

12.5 = x

125 - 12.5 = 112.5

the sale price is $112.5

Jace invested $67,000 in an account paying an interest rate of 5 5/8% compounded monthly. Joseph invested $67,000 in an account paying an interest rate of 6 1/4% compounded continuously. After 18 years, how much more money would Joseph have in his account than Jace, to the nearest dollar?

Answers

Answer:

$22395

Step-by-step explanation:

The coordinates of the vertices of triangles OPQ are O(0,0) P(4,0) and Q(2,-4). Triangles OPQ is dilated with center O and scale factor 3/2. Sketch the dilation. What quadrants contain the image of triangle OPQ? PLEASE HELP ME

Answers

Answer:

you have to do the directions they gave you, draw the coordinates

Step-by-step explanation:

Use the epression to answer the question.
24-6×6÷4
What is the value of the epression?
A. 3
B. 15
C. 20
D. 27

Answers

Answer:

The answer is B.

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

So the answer is 15.

Hope this helps :)

-ilovejiminssi♡

$1 US is equivalent to about 6.56 Chinese yuan. A two-bedroom presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of this suite per night in US dollars?

Answers

Answer: About 3,811 US dollars.

Step-by-step explanation:

Divide 25,000 with 6.56. That equals about 3,811 US dollars.

hope this helps :)

Point M is located at (7,1).

What is located 5 units from point M?

Choose 1 answer:

(Choice A)

Point A

(Choice B)

Point B

(Choice C)

Point C

(Choice D)

Origin

Answers

I think it is possibly point b

What is 2 7/9 + 8/9 ?

Answers

Answer:

11/6

Step-by-step explanation:

2 7/9 + 8/9

2 7/9 into a mixed fraction which is 25/9

now 25/9 + 8/9 = 33/18 then simplify which is 11/6

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