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.
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
a pet shop sells a 6 can multipack of dog food for £3.18 and a 15 can multipack for £7.80. which multipack is the best value for money
Answer:
the 15 multi pack
Step-by-step explanation:
Help! I'll give brainliest to first correct answer.
1 to A
2 to C
3 to B
4 to D
and that's all
A stadium is shaped like a hemisphere with a radius of 150 feet. Last month, the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. What was the total cost for utilities last month?
Answer:
353,249 feet cubed
Step-by-step explanation:
V=(4/3)[tex]\pi (3.14)rx^{3}[/tex]/2 times 0.05
A college student wants to determine if degree of introversion/extroversion is associated satisfaction with life. She has a sample of 68 people take two surveys. The first survey yields a higher score the more extroverted a person is. The second survey yields a higher score the more satisfied a person is with their life. What statistics should you use to determine if scores on these two surveys are related to each other
Answer: Correlation
Step-by-step explanation:
The statistics that should be used to determine if scores on these two surveys are related to each other is referred to as correlation.
Correlation indicates the degree by which the variables that are given are linearly related. Correlation is used in the testing and determination of the strength of association that can be found between two variables.
In this case, since the student wants to determine if degree of introversion or extroversion s associated satisfaction with life, the correlation will be appropriate to use.
Tom surveyed a random sample of the junior of his school to determine whether the Fall Festival should be held in October or November. Of the 80 students surveyed, 24.8% said they preferred November. Based on this information, about how many students in the entire 230-person class would be expected to prefer having the Fall Festival in November. SHOW YOUR WORK PLEASE!!!
a. 50
b. 60
c. 75
d. 80
9514 1404 393
Answer:
b. 60
Step-by-step explanation:
We assume the percentage for the sample holds for the whole class, so the estimated number preferring November is ...
0.248 × 230 = 57.04 ≈ 60
About 60 students prefer November.
what is the slope of the line !?!?!
Answer:
Slope is -2
Step-by-step explanation:
which of the following is not a function? ANSWER FAST PLEASE!!!
Answer:
D. cannot be an f(x)=y function.
Step-by-step explanation:
An f(x) = y function has to have a specific property - there can be only one value for the same x - and the value has to be the same every time.
D. gives us all xs equal to 9, but with different ys - hence it cannot be an f(x) = y function (it could be an f(y) = x function though, but I assume that's not "allowed" under the problem statement).
B has two equal xs, but both times y=0, so it doesn't make it an invalid function.
Which answer is it? I really need help here
Answer:
I believe The answer is D
Step-by-step explanation:
I believe this because If you write the 12's as an exponent it will be 12*4 and the 3's as an exponent will be 3*4. Now just add in the remaining numbers:
12*4 + 7( 3*4 + 3)
M=-3/2(-5,1) standard form
Not sure............but i think it is 8x-1y= -11
Isabel owns a T-shirt cart and has a contract with a local sports arena to distribute T-
shirts outside the venue. Isabel is paid a flat rate of $235 and a variable rate per T-
shirt. The following table represents the total amount of money Isabel makes. Let X
denote the number of T-shirts that Isabel sells and let y denote the amount of money
that Isabel makes. What is the estimated amount of money that Isabel makes if she
sells six T-shirts?
T-shirts
o
1
2
3
4
Money
$235
$250
$267
$286
$307
Answer:
in just going to say 90
Step-by-step explanation:
tell me if i got it right or wrong no hate
(3/4•8a)+(3/4•12)= 23.4, what does A mean???
Answer:
Well, a is supposed to be an unknown number. And that unknown number is supposed to multiply by 8. Now A is suppose to equal 8.4.
Help pls! show step by step
Answer:
He started with 37 CDs
Step-by-step explanation:
Variable: Let x be the number of CDs he got at the start
Equation: (x + 7) /2 = 22
x + 7 = 44
x = 37
Check: (37+7) /2 = 22
The tree diagram represents an
experiment consisting of two trials.
.3
.4
B
Answer:
.32
Step-by-step explanation:
.4x.8=.32
WILL MARK! Please help:)
Find x so that this quadrilateral is a parallelogram.
Answer:
46
Step-by-step explanation:
Answer:
46 bc the angles across from each other are the same in a parallelogram
What is the slope of a line parallel to the line whose equation is 6x -2y= 32. Fully simplify your answer
Step-by-step explanation:
Given equation is
6x -2y= 32.........i)
Slope of line I) is
[tex]m1 = \frac{ - x \: coefficient}{y \: coefficient} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]
Now
As it is said that the lines are parallel so slope, m1 = m2
So the slope of a line parallel to line I) is
= 3
Hope it will help :)❤
Day Care Tuition A random sample of 50 four-year-olds attending day care centers provided a yearly tuition average of $3987 and the population standard deviation of $630. Find the 90% confidence interval of the true mean. If a day care center were starting up and wanted to keep tuition low, what would be a reasonable amount to charge
Answer:
We have to find the 90% confidence interval for the mean
Given sample size
Sample mean
Population standard deviation
Here the confidence level is 90% then
And
The 90% confidence interval is
Here is the critical value at 0.05
From the tables
Now the 90% confidence interval is =
=
=(3840.44, 4133.56)
Hence the 90% confidence interval for the mean is (3840.44, 4133.56)
Pamela's age is three times Jiri's age. The sum of their ages is 72. What is Jiri's age?
Answer:
24
Step-by-step explanation:
72/3=24
3^x=2 solve for x without using calculating utility?
Victor buys four chairs to place around his dining room table. He pays a total of $88. What is the unit
price?
solve the system of equations 2x+7y=-5 and-x-6y=10
Answer:
x=8 and y= -3
Step-by-step explanation:
2x + 7y= -5. eqn 1 ×6
-x -6y = 10. eqn 2 ×7
12x + 42y = -30
+
-7x - 42y = 70
= 5x= 40
x= 8
to find y
substitute x into eqn 2
-8-6y=10
-6y=10+8
-6y=18
therefore 6=-3
Are congruent triangles also similar?
Answer: yes they are
Step-by-step explanation:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.
Answer:
Yes
Step-by-step explanation:
While congruent triangles are similar, similar triangles may not be congruent.
Find the lengths of the missing side. Round your answer to the nearest tenth
Answer:
13.2
Step-by-step explanation:
using the Pythagorean theorem:
L² = 20² - 5²
L² = 400 - 225 = 175
L = 13.23
5. What type of quadrilateral is DEFG?
A square
B rhombus
trapezoid
D parallelogram
Answer:
parallelogram
options D
I took the test and got it right.
What is the value of the expression
3+(2+8)^2+4*(1/2)^4
Answer:
Use photo math, it will explain it all
First here's the expression written out a little clearer
[tex]3+(2+8)^2+4*(\frac{1}{2} )^4[/tex]
Parentheses: (2+8) = (10).
Exponents: 10^2 is 100, and [tex](\frac{1}{2} )^4[/tex] is [tex]\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot\frac{1}{2} =[/tex] [tex]\frac{1}{16}[/tex]
Multiplication and division: 4 * 1/16 is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex] simplified
Addition and subtraction: Go left to right. 3 + 100 + [tex]\frac{1}{4}[/tex] = 103.25 (final answer)
Mason makes $20 for each time he mows. Which equation represents the money he makes, d, in dollars that mason makes after he mows n lawns?
A) d=20n
B) n=20d
C) d=20+n
D) n=20+d
Please help ASAP thank you
You notice these two suitcases in the closet. The smaller suitcase is 25 in x 8 in x 9in, and the larger suitcase is 75 in x 20 in x 18in. The bigger suitcase is how many times larger than the smaller suitcase??
Answer:
15x larger
Step-by-step explanation:
75x20x18=27000
25x8x9=1800
27000/1800=15
Anwser:15x larger
Answer:
15
Step-by-step explanation:
smaller suitcase = 1800in^3
bigger suitcase = 27000in^3
27000 divided by 1800 = 15
evimi
Simplify 6(3+4) - 5(1 + 2).
Step-by-step explanation:
6(3+4) - 5(1+2)
= 6 x 7 - 5 x 3
= 42 - 15
= 27
Step-by-step explanation:
6(3+4) - 5(1+2)
6×7 - 5×3
42 - 15 = 27
Are these equivalent the the expression on the top right
Answer:
No
Yes
No
Yes
(choice 3 is a no)
Angela opened a bank account with $0.50. Later in the week she deposited money and $24 in her account. How much money did she deposit?
Answer:
24 is the whole desposited. unless you are not counting the money she spent to open it. then it would be $23.50