The Environmental Protection Agency (EPA) uses a measure called the Pollutant Standards Index (PSI) to measure air quality in a city. A PSI reading over 100 indicates a day when the air quality is considered unhealthy. The measurements represent the number of days in 1995 that the PSI was over 100 for metropolitan areas in the U.S. Midwest. Summary statistics are provided.
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14
Required:
Draw the boxplot for this data we found no extreme outliers.
Answers
Answer:
Please find attached the Box Plot Created with Microsoft Excel
The outliers are 11, and 14
Step-by-step explanation:
The given data is presented as follows;
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14
From the data, we have;
The first quartile, Q₁ = 1
The second quartile, (The median) Q₂ = 2.5
The third quartile, Q₃ = 4.75
Therefore, the interquartile range, IQR = Q₃ - Q₁ = 4.75 - 1 = 3.75
Therefore, the values above Q₃ + 1.5 × IQR are outliers
Q₃ + 1.5 × IQR = 4.75 + 1.5 × 3.75 = 10.375
Therefore, 11, and 14 are outliers
The boxplot created with Microsoft Excel is attached
Related Questions
6) Supplementary Exercise 5.51
A consumer advocate claims that 80 percent of cable television subscribers are not satisfied with their cable service. In an attempt to justify this claim, a randomly selected sample of cable subscribers will be polled on this issue.
(a)
Suppose that the advocate's claim is true, and suppose that a random sample of five cable subscribers is selected. Assuming independence, use an appropriate formula to compute the probability that four or more subscribers in the sample are not satisfied with their service. (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)
The answer for 6(a) is P( Xâ¥4) = P ( x = 4) + P (x = 5) = 5/4 * 0.84 * 0.21 + 5/5 * 0.85 * 0.20 = 0.737
(b)
Suppose that the advocate's claim is true, and suppose that a random sample of 25 cable subscribers is selected. Assuming independence, find each of the following: (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)
1.
The probability that 15 or fewer subscribers in the sample are not satisfied with their service.
The answer for 6(b)1 is P(Yâ¤15) = 1 - P( Y > 20) - X20, i = 16 P ( Y = i) = 1- 0.421 - 0.562 = 0.017
2.
The probability that more than 20 subscribers in the sample are not satisfied with their service.
The answer for 6(b)2 is
3.
The probability that between 20 and 24 (inclusive) subscribers in the sample are not satisfied with their service.
The answer for 6(b)3 is P(20 > Y < 24) = 1 - 0.421 - 0.1867 - 0.1358 - 0.0708 - 0.0236 = 0.1621
4.
The probability that exactly 24 subscribers in the sample are not satisfied with their service.
The answer for 6(b)4 is P( Y = 24) = 0.0236
(c)
Suppose that when we survey 25 randomly selected cable television subscribers, we find that 15 are actually not satisfied with their service. Using a probability you found in this exercise as the basis for your answer, do you believe the consumer advocate's claim? Explain. (Round your answer to 4 decimal places.)
Answers
Answer:
[tex]P(X \le 4) = 0.7373[/tex]
[tex]P(x \le 15) = 0.0173[/tex]
[tex]P(x > 20) = 0.4207[/tex]
[tex]P(20\ge x \le 24)= 0.6129[/tex]
[tex]P(x = 24) = 0.0236[/tex]
[tex]P(x = 15) = 1.18\%[/tex]
Step-by-step explanation:
Given
[tex]p = 80\% = 0.8[/tex]
The question illustrates binomial distribution and will be solved using:
[tex]P(X = x) = ^nC_xp^x(1 - p)^{n-x}[/tex]
Solving (a):
Given
[tex]n =5[/tex]
Required
[tex]P(X\ge 4)[/tex]
This is calculated using
[tex]P(X \le 4) = P(x = 4) +P(x=5)[/tex]
This gives:
[tex]P(X \le 4) = ^5C_4 * (0.8)^4*(1 - 0.8)^{5-4} + ^5C_5*0.8^5*(1 - 0.8)^{5-5}[/tex]
[tex]P(X \le 4) = 5 * (0.8)^4*(0.2)^1 + 1*0.8^5*(0.2)^0[/tex]
[tex]P(X \le 4) = 0.4096 + 0.32768[/tex]
[tex]P(X \le 4) = 0.73728[/tex]
[tex]P(X \le 4) = 0.7373[/tex] --- approximated
Solving (b):
Given
[tex]n =25[/tex]
i)
Required
[tex]P(X\le 15)[/tex]
This is calculated as:
[tex]P(X\le 15) = 1 - P(x>15)[/tex] --- Complement rule
[tex]P(x>15) = P(x=16) + P(x=17) + P(x =18) + P(x = 19) + P(x = 20) + P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]
[tex]P(x > 15) = {25}^C_{16} * p^{16}*(1-p)^{25-16} +{25}^C_{17} * p^{17}*(1-p)^{25-17} +{25}^C_{18} * p^{18}*(1-p)^{25-18} +{25}^C_{19} * p^{19}*(1-p)^{25-19} +{25}^C_{20} * p^{20}*(1-p)^{25-20} +{25}^C_{21} * p^{21}*(1-p)^{25-21} +{25}^C_{22} * p^{22}*(1-p)^{25-22} +{25}^C_{23} * p^{23}*(1-p)^{25-23} +{25}^C_{24} * p^{24}*(1-p)^{25-24} +{25}^C_{25} * p^{25}*(1-p)^{25-25}[/tex]
[tex]P(x > 15) = 2042975 * 0.8^{16}*0.2^9 +1081575* 0.8^{17}*0.2^8 +480700 * 0.8^{18}*0.2^7 +177100 * 0.8^{19}*0.2^6 +53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]
[tex]P(x > 15) = 0.98266813045[/tex]
So:
[tex]P(X\le 15) = 1 - P(x>15)[/tex]
[tex]P(x \le 15) = 1 - 0.98266813045[/tex]
[tex]P(x \le 15) = 0.01733186955[/tex]
[tex]P(x \le 15) = 0.0173[/tex]
ii)
[tex]P(x>20)[/tex]
This is calculated as:
[tex]P(x>20) = P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]
[tex]P(x > 20) = 12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]
[tex]P(x > 20) = 0.42067430925[/tex]
[tex]P(x > 20) = 0.4207[/tex]
iii)
[tex]P(20\ge x \le 24)[/tex]
This is calculated as:
[tex]P(20\ge x \le 24) = P(x = 20) + P(x = 21) + P(x = 22) + P(x =23) + P(x = 24)[/tex]
[tex]P(20\ge x \le 24)= 53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1[/tex]
[tex]P(20\ge x \le 24)= 0.61291151859[/tex]
[tex]P(20\ge x \le 24)= 0.6129[/tex]
iv)
[tex]P(x = 24)[/tex]
This is calculated as:
[tex]P(x = 24) = 25* 0.8^{24}*0.2^1[/tex]
[tex]P(x = 24) = 0.0236[/tex]
Solving (c):
[tex]P(x = 15)[/tex]
This is calculated as:
[tex]P(x = 15) = {25}^C_{15} * 0.8^{15} * 0.2^{10}[/tex]
[tex]P(x = 15) = 3268760 * 0.8^{15} * 0.2^{10}[/tex]
[tex]P(x = 15) = 0.01177694905[/tex]
[tex]P(x = 15) = 0.0118[/tex]
Express as percentage
[tex]P(x = 15) = 1.18\%[/tex]
The calculated probability (1.18%) is way less than the advocate's claim.
Hence, we do not believe the claim.
List the containers from least to greatest: 1.73, 2.061, 1.59, 2.1
Answers
Choose all answers that apply
a. 7°
b. 45°
c. 90°
d. 210°
e. 355°
f. none of the above
Answers
Answer:
a,b,c,d and e
Step-by-step explanation:
a circle can be rotated any degree an be symmetrical therefore it has a infinite order of rotational symmetry
thus meaning that the answers are a , b , c, d and e
Find tan x in the triangle pictured above
Answers
Answer:
Hi Marie, use the reminder
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
Tan(x) = Opp / Adj
Tan(x) =32 / 24
X = arcTan(32/24)
X = 53.13°
Two sides of a triangle measure 6 cm and 8 cm. What is the possible measurement of the 3rd side of the triangle
Answers
Step-by-step explanation:
If the triangle is right, we can use Pitagora
We can have 2 results
1.
[tex] \sqrt{ {6}^{2} + {8}^{2} } = \\ = \sqrt{36 + 64} = \\ = \sqrt{100} \\ = 10[/tex]
2.
[tex] \sqrt{ {8}^{2} - {6}^{2} } = \\ = \sqrt{64 - 36} = \\ = \sqrt{28 } \\ = 2 \sqrt{7} [/tex]
Solve for the two variables in the following system of equations. 7x-8y=-12
--4x+2y=3
Answers
Answer:
x=0, y=3/2. (0, 3/2).
Step-by-step explanation:
7x-8y=-12
-4x+2y=3
----------------
7x-8y=-12
4(-4x+2y)=4(3)
-----------------------
7x-8y=-12
-16x+8y=12
----------------
-9x=0
x=0/-9
x=0
7(0)-8y=-12
0-8y=-12
8y=0-(-12)
8y=0+12
8y=12
y=12/8
simplify
y=3/2
uppose IQ scores for adults follow a Normal distribution with a standard deviation of 15. Previous analyses have determined that national average adult IQ score is 100. a) A random sample of 35 adults from Lower Arlington, yields an average score of 106. Is there any evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
Answers
Answer:
The pvalue of the test is 0.0178 < 0.1, which means that there is evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
Step-by-step explanation:
Previous analyses have determined that national average adult IQ score is 100.
This means that the null hypothesis is: [tex]H_0: \mu = 100[/tex]
Is there any evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average.
This means that the alternate hypothesis that will be tested is:
[tex]H_a: \mu \neq 100[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
100 is tested at the null hypothesis:
This means that [tex]\mu = 100[/tex]
Standard deviation of 15.
This means that [tex]\sigma = 15[/tex]
A random sample of 35 adults from Lower Arlington, yields an average score of 106.
This means that [tex]n = 35, X = 106[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{106 - 100}{\frac{15}{\sqrt{35}}}[/tex]
[tex]z = 2.37[/tex]
Pvalue of the test:
Since z is positive, and we are testing if the mean is different from a value, the pvalue of the test is 2 multiplied by 1 subtracted by the pvalue of z = 2.37.
Looking at the z-table, z = 2.37 has a pvalue of 0.9911
1 - 0.9911 = 0.0089
2*0.0089 = 0.0178
Is there any evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
The pvalue of the test is 0.0178 < 0.1, which means that there is evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
At the produce store you can buy 4 bags of bananas for $22.52. How much would it cost if you were to buy 2 bags? Explain
Answers
Answer:
11.26
Step-by-step explanation: The easy way to . complete this is to get the 22.52 split it in half to get your answer. Because they asked for the price of 2 and 2 is half of 4.
since 4 bags of bananas costs $22.52, you would just divide by 2 to find out how much 2 bags of bananas costs.
22.52/2=$11.26
It costs $11.26 for 2 bags of bananas.
Find the length of the third side. If necessary,
round
to
the nearest tenth.
4
7
Answers
Answer:
The answer would be 8.1
Step-by-step explanation:
Which quadrant does the point (-3, 6) lie in?
Quadrant IV
Quadrant I
Quadrant II
Answers
It should be in Quadrant II! <3
Answer:
Quadrant II
Step-by-step explanation:
nicholas wants to buy a cd for $200 that earns 3% apr and is compounded quarterly. the cd matures in 5 years. his interest earned will not be reinvested in the cd.what will nicholas total interest be at the date of maturation?
Answers
Answer: 30
Step-by-step explanation:
Answer:
the correct answer is $1.50 for me
Step-by-step explanation:
st took the quiz and got this question correct, hope this helps!
what is the value of k if - 2/3(k - 6) = 3/2(k+6)
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: -30/13
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
In this module we reviewed finding the GCF of numbers and then finding the GCF of monomials. Below is an example of this work. Which statement best explains the similarities between the two methods?
Answers
Answer:
tell me if this right or not
Step-by-step explanation:
The largest number, which is the factor of two or more number is called the Greatest Common Factor
ex. Factors of 18 = 2×9 =2×3×3
ex.Prime factors of 24 –2×2×2×3
ex.or other factors of 14 The factors of 14 are: 1, 2, 7, 14
Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?
Answers
Answer:
sorry 2458946547165874%
Step-by-step explanation:
Solve the following values for x and y 1) (8x + 7) 5y (7y - 34) (9x - 4)
Answers
9514 1404 393
Answer:
x = 11y = 17Step-by-step explanation:
Vertical angles have the same measure, so we can equate expressions for each vertical angle pair:
top and bottom
8x +7 = 9x -4
11 = x . . . . . . . . . . add 4-8x to both sides
left and right
7y -34 = 5y
2y = 34 . . . . . . . . add 34-5y to both sides
y = 17 . . . . . . . divide by 2
_____
Additional comment
As a check on the integrity of the problem, we can see if these angles form linear pairs.
8x+7 = 8·11+7 = 95
5y = 5·17 = 85
95 +85 = 180 . . . . . . angle values have the expected relationship
Missy has a box that is 5 in. high, 20 in. long, and 5 in. wide. Use a formula to find the volume of the box.
Which of the following is the volume?
OA. 50 cubic inches
OB. 100 cubic inches
C. 250 cubic inches
O D. 500 cubic inches
Answers
Answer:
Its D
Step-by-step explanation:
I just submited that same exact test from connexus
Answer: D 500 cubic centimeters
Step-by-step explanation:
The formula of a volume is Volume = Length x Width x Height. In this case, it already gave us all of the sides that we need! So all we need to do is multiply 5 x 5 x 20 which gives us 500 cubic centimeters!
Hope this helped! ^^
Which single function can be used to determine the length of BC? :v
Answers
Answer:
Step-by-step explanation:
A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer
Answers
Answer:
yes
Step-by-step explanation:
Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: [tex]a^{2} +b^{2} = c^{2}[/tex]. Substitute using the given values:
(9^2)+(12^2)=15^2
81 + 144 = 255
255 = 255.
It satisfies the theorem therefore it is a right angle triangle.
Jen is planting a sunflower garden. She will need 1/2 pound of sunflower seeds. How many ounces of sunflower seeds will she buy?
Answers
Answer:
5 ounces
Step-by-step explanation:
Answer:
5 ounces .
Step-by-step explanation:
HELP ME PLEASE
Part 2: What is the quotient of
5
3
?
4
12
Answers
Answer:
addition=24
subtraction=6
multiplication=720
division=1.8
How many 6 digit combinations are there using only numbers 1-9?
Answers
Answer:
With no digits repeated that would be 60,480
Step-by-step explanation:
9×8×7×6×5×4 = 60,480
can anyone help me with this answer?
Answers
Answer:
6m-2m+12 and 4(m+3)
Step-by-step explanation:
4(m+12)=4m+48❎
3m-m+12=2m+12❎
6m-2m+12=4m+12✅
4(m+3)=4m+12✅
how to write two pounds and four pence
Answers
There are 100 pence in a pound, so 2 pounds is 200 pence. 50 is 1/4 of 200.
Also look at the pictures it’s the answer sheet❤️
11/60 as a mixed number
Answers
Answer:
5 /11 is the Mixed Number.
Have a good day! :D
Step-by-step explanation:
Please help I will give brainliest
Answers
Answer:
c.42
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
10+4= 14 so that is one side
14x3=42
So the answer is 42 so C
HELPPPPPPPPPPP!! SMART People?
Answers
its $1.07 my bad XD :P
Step-by-step explanation:
Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?
Answers
Answer:
20% increase
Step-by-step explanation:
All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20
The remaining questions refer to the following situation: Suppose a certain farmer wants to find out if the average length of the green beans in her field is 4 inches. She collects a random sample of 100 beans and get a sample mean of 3.75 inches. (Suppose she knows that the population standard deviation of bean length is 0.5.) What is the population in this situation
Answers
Answer:
The population in this situation is all green beans in her field.
Step-by-step explanation:
Informally, if you take a sample of an object, the population in all of these objects.
In this question:
Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.
i need help please...
Answers
Answer:
B
Step-by-step explanation:
I think it's hitting a golf ball in the air, as it is a transformation, but the general shape of it is not affected.
Opening a locker, you are still affecting the general shape.
Which expression is equivalent to 4(-2c) - c
-6c
8c - 1
-9c
7c + 1
I'm not good at this stuff -_-
Answers
Answer:
none of those?
Step-by-step explanation:
4(-2c) = -8c
Answer: -9c
Step-by-step explanation:
4(-2c) - c
= -8c - c
= -9c
-9c is the answer