A farmer knows that a grocery store will reject a shipment of his vegetables if more than 4% of the vegetables contain blemishes. He inspects a large truckload of tomatoes to determine if the proportion with blemishes (p) exceeds 0.04. He selects an SRS of 150 tomatoes from the more than 2,000 tomatoes in the truck. Suppose that 8 tomatoes sampled are found to have blemishes. Which of the assumptions for inference about a proportion is violated, if any?

a. Large Counts: np > 10
b. Large Counts: n(1 – p) > 10
c. The sample is a random sample of the entire population.
d. 10% condition: the sample size is less than 10% of the population.
e. There do not appear to be any violations.

Answers

Answer 1

Answer:

Assumption A is violated

Step-by-step explanation:

x = number of blemishes = 8

n = sample size = 150

proportion = x/n = 8/150 = 0.0533

1. large counts: np> 10

= 150 * 0.0533 >10

= 7.995 > 10

this assumpton is obviously violated. 7.995 is not greater than 10

2. Large Counts: n(1 - p) > 10

150(1-0.0533)>10

150-7.995 > 10

142.005> 10

there is no violation. The assumption is satisfied

3. This assumption is satisfied. this is because the tomatoes were selected using simple random sampling.

4. 10% of the population = 0.1 * 2000 = 200

the sample size = 150

150 < 200

this assumption is satisfied


Related Questions

If 3 inches of rain fell in 5 hours, how much rain fell each hour? *

Answers

Answer:

Step-by-step explanation:

you can divide 5 divided by 3 and your answer will be 0.6

5
Х
a
A shirt costs x dollars. A sale offers a 8%
discount. What expressions can you write to show
the cost, after the discount?
How much would the shirt cost if the original price
was $75?

Answers

Im just doing this for points

Answer the question

Answers

The answer is C)107%

Answer:

I think it's C

Step-by-step explanation:

Hope this helps you

I need help please.

Answers

Step-by-step explanation:

if I had to guess it's probably true

A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each. Find the equation of the form P(n)

Answers

Answer:

The equation of the form P(n) is:

P(n)=-0.002n+75

Step-by-step explanation:

From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:

m=(p1-p2)/(n1-n2)

m=slope

p1=69

p2=61

n1=3000

n2=7000

m=(69-61)/(3000-7000)

m=8/-4000

m=-0.002

Now that you have the slope, you can find the the equation of the form P(n):

P(n)=-0.002(n-3000)+69

P(n)=-0.002n+6+69

P(n)=-0.002n+75

According to this, the answer is that the equation of the form P(n) is:

P(n)=-0.002n+75

A poll of 803 adults in the United States found that a majority—60%—said that changes should be made in government surveillance programs. The poll reported a margin of error of 3.5%.

Explain in plain English what we can conclude from this poll.

Answers

We can conclude that most American adults want changes in government surveillance programs. But we can't conclude what specific changes in those programs they want (more surveillance? less? it doesn't say.)

In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle
XYZ?

Answers

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

132 beads is split into 96 beads and 36 beads. in simplest form , what is the ratio of the split​

Answers

Answer:

16:6

Step-by-step explanation:

96:36

Highest common factor is 6

divide both sides by 6

16:6

What is the resulting cross section if the cheesecake was sliced parallel to its points?

Answers

Answer:

Rectangle

Step-by-step explanation:

There are 30 students in a math class.
If 28 were present for class, what
percent are in class?

Answers

Answer:

93%

Step-by-step explanation:

28 divided by 30= 0.93

0.93= 93%

Answer:

100%

Step-by-step explanation:

30 +28=58 this is the total of people in class

58/58× 100=100%

Helpssbwjmeekndhshhsbdh

Answers

b. 2.35 :)) goodluck!

Imaginary numbers. What is (-i)^5?

Answers

That is basic algarethem that is your answer

Meals are cooked in a process with two resources. The first resource has a capacity of 28 meals per hour. The capacity of the second resource is 24 meals per hour. The first resource has 9 workers and the second resource has 8 workers. Demand for this process is 31 meals per hour. Wages are $24 per hour. Instruction: Round your answer to four decimal places. What is the cost of direct labor (in $s)? _____________ per unit

Answers

Answer:

The cost of direct labor (in $s) is $7.85 per unit.

Step-by-step explanation:

First resource total wages per hour = Number of workers in first resource * Wages per hour = 9 * $24 = $216

Second resource total wages per hour = Number of workers in second resource * Wages per hour = 8 * $24 = $192

Total wages of the process per hour = First resource total wages + Second resource total wages = $216 + $192 = $408

Cost of direct labor per unit = Total wages of the process per hour / (Capacity of first resource + Capacity of second resource) = $408 / (28 + 24) = $7.85

Therefore, the cost of direct labor (in $s) is $7.85 per unit.

cuantos kilogramos
equivale la fracciom 11/25​

Answers

Answer:

En español:

11/25 = 0.44

0.9702 porque multiplica por 2.205.

In English:

11/25 = 0.44

0.9702 because you multiply by 2.205.

Please help and will give brainliest.

Answers

Answer:

The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was

Step-by-step explanation:

The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was

Please help quick no Tiny links please plz plz help quick due soon I will give points no Links

Answers

Answer:

I think its B but im not sure

Step-by-step explanation:

PLEASE HELP
x + 2/3 = 9/10

Answers

Answer:

The answer is x= 7/30

A man who is 2m tall stands on horizontal ground 30m from a tree. The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the men eyes to the top of the tree

Answers

Answer:33.95 m

Step-by-step explanation:

Given

The height of the man is 2 m

Distance between man and tree is 30 m

the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]

from the figure,

[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]

Using Pythagoras we can write

[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]

Thus the distance between the men eyes to the top of the tree is 33.95 m

please help I will give Brainliest even if its old I still need answers please. ​

Answers

Answer:

Mean: 64

Median: 64

Mode: 65

Range: 8

Step-by-step explanation:

Mean: add up all the numbers and divide by how many numbers there are

Median: write them out in lowest to highest and cross off from both ends

Mode: the number that shows up the most

Range: Subtract the highest from the lowest

can I get help PLEEEEEEEEEEEEEASE

Answers

Answer:

what do you need help with? i can try to help you

Step-by-step explanation:

Answer:

Help with what, where is the ?

You start at (2, -1). You move right 3 units and up 4 units.
Where do you end?

Answers

Answer:

(5,3)

Step-by-step explanation:

Answer:

(5, 3)

Step-by-step explanation:

(x, y)----> (x + 3, y + 4)

(2,  -1)----> (2 + 3, -1 + 4)

(5, 3)

three times a number,minus 2, is equal to two times the number,plus 7​

Answers

Answer:

9

Step-by-step explanation:

3x−2=2x+7

Step 1: Subtract 2x from both sides.

3x−2−2x=2x+7−2x

x−2=7

Step 2: Add 2 to both sides.

x−2+2=7+2

Answer:

x=9

Answer:

9

Step-by-step explanation:

3x-2=2x+7

3x-2x-2+2=2x-2x+7+2

x=9

3(9)-2=2(9)+7

27-2=18+7

25=25

3. Marci's gross pay this month is $1,175. What is the total amount her employer will
deduct from her income this month for Medicare tax (1.45% of gross pay) and Social
Security tax (6.2% of gross pay)?
pls help me

Answers

Answer:

it would be 266.83

Step-by-step explanation:

Simplify.
5a√2+3a√2


16a
8
8a

Answers

Answer:

8a[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term

= [tex]\sqrt{2}[/tex] (5a + 3a)

= 8a[tex]\sqrt{2}[/tex]

the 30% discount on a $49 dollhouse​

Answers

Answer:

34.30

Step-by-step explanation:

$14.70 is 30% of $49 so

The total would be $34.30 after the discount

But the discount is %14.70

Need help please someone

Answers

Answer:

let's divide the figure into the two parts.

surface area of cuboid=2(lb+bh+hl)

surface area of cuboid=2(12×4+4×6+6×12)

surface area of cuboid = 288 unit²

diameter of cylinder =4

radius=4/2

surface area of half cylinder= pi×r(h+r)

surface area of half cylinder=3.14×2×(12+2)

surface area of half cylinder=87.92 unit²

surface area of figure=288 unit²+ 87.92 unit²

surface area of figure = 375.92 unit²

What is the sum of the largest and smallest recorded capacity?

Answers

Answer:

A) 3 2/4

Step-by-step explanation:

1+2 2/4= 3 2/4

an oil company bores a hole 80m deep estimate the cost of boring if the cost is £30 for drilling the first meter with an increase in cost of £2 per meter for each succeeding meter​

Answers

Answer: £188

Step-by-step explanation:

Given

The depth of the hole is 80 m

For the first meter, it is £30

After that, it is £2 per meter

after a meter, it is 79 m more

The total cost is C

[tex]\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188[/tex]

Please help me on this

Answers

Babushka babushka babushka

1. How many degrees is x
.x
41
82
20.5
o
41
О
10

Answers

Answer:

Option (1)

Step-by-step explanation:

By the inscribed angle theorem inside a circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

[tex]\frac{1}{2}[/tex][m(arc AB)] = m(∠ABC)

m(arc AB) = 2[m(∠ABC)]

x = 2(41°)

x = 82°

Option (1) is the correct option.

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