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
The large rectangle below represents one whole.
What percent is represented by the shaded area????
Answers
Answer:
40%
Step-by-step explanation:
Because there are 5 rectangle total, we can dive 100% into 5 parts.
Each part is then 20%, there are 2 shaded rectangles thus the answer is 40%.
A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:y=x+5
Step-by-step explanation:
How many cannonballs are there in the eighth figure
Answers
Answer:
36
Step-by-step explanation:
Write the slope intercept form of the equation of the line. x + 8y = 24
Answers
Let f be defined by the function f(x) = 1/(x^2+9)
(a) Evaluate the improper integral [tex]\int\limits^{∞}_3 {f(x)} \, dx[/tex] or show that the integral diverges
(b) Determine whether the series ∑n=3∞ f(n) converges or diverges State the conditions of the test used for determining convergence or divergence
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges (image put below)
Answers
(a)
[tex]\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}[/tex]
Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :
[tex]\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt[/tex]
[tex]=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}[/tex]
(b) The series
[tex]\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}[/tex]
converges by comparison to the convergent p-series,
[tex]\displaystyle\sum_{n=3}^\infty\frac1{n^2}[/tex]
(c) The series
[tex]\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}[/tex]
converges absolutely, since
[tex]\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}[/tex]
That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.
factorise x^{2} +2x-24[/tex]
Answers
Answer:
(x + 6)(x - 4)
Step-by-step explanation:
x² + 2x - 24
(x + 6)(x - 4)
-4 and +6 multiply to 24 and add to +2.
the sum of the first n terms of a sequence is given by Sn=3^m^+^1-6 Determine the sum of the first 12 terms
Answers
Is it a right triangle please help!
Answers
Answer:
no
Step-by-step explanation:
Hello There!
We can figure out if the given side lengths form a right triangle using the Pythagorean Theorem
The Pythagorean Theorem states that the hypotenuse (longest side) squared equal to sum of the two legs squared
so if it is a right triangle then
[tex]74^2=71^+24^2[/tex]
[tex]74^2=5476\\71^2=5041\\24^2=576\\5041+576=5617\\5476\neq 5617[/tex]
5617 is not equal to 5476 therefore the given side lengths do not form a right triangle
~TheMathWIz
Graph the inequality n > 1.8
Answers
Answer:
Open circle going right. <-- graphed
Step-by-step explanation:
1billion is the correct answerStep-by-step explanation:
In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40
Answers
Answer:
no of science teachers is 20
no of students is 600
ratio=20/600
=20:600
=1:30
pls give me brainliest
Whoever responds first will get marked Best!
Elizabeth's family pool is 25 feet long, 15 feet wide and 10 feet deep. The pool has to be filled. What is the volume of water they should put in the pool?
Part A Explain the steps you would take to find the volume of the pool.
Part B. What is the volume of the water in the pool?
a. 3750 ft
B.50 ft
c. 3375 ft
d. 3755 ft
Answers
Answer:
Part A:
I would multiply the length, width, and depth of the pool to find the volume of it. That would be how much water can fit inside. 25 ft x 15 ft x 10 ft = 3750 ft
Part B:
a. 3750 ft
Write an expression that represents the area of only the red shaded region in terms of x
Answers
Answer:
1st find the area of bigger rectangle ie l×b
again find area of small rectangle ie l×b
now subtract area of small rectangle by bigger one you get the area of shaded part
Paleomagnetic studies of Canadian volcanic rock known as the Carmacks Group have recently been completed. The studies revealed that the northward displacement of the rock units has an approximately normal distribution with a standard deviation of 500 kilometers (Canadian Journal of Earth Sciences, Vol. 27, 1990). One group of researchers estimated the mean displacement at 1,200 kilometers, whereas a second group estimated the mean at 1,000 kilometers.
Required:
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
Answers
Answer:
a) 0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers
b) 0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers
c) 1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Standard deviation of 500 kilometers
This means that [tex]\sigma = 500[/tex]
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Mean of 1500 km means that [tex]\mu = 500[/tex]
The probability is the pvalue of Z when X = 500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1500}{500}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers.
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Now [tex]\mu = 1200[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1200}{500}[/tex]
[tex]Z = -1.4[/tex]
[tex]Z = -1.4[/tex] has a pvalue of 0.0808
0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers.
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
you roll a fair 6 sided dice twice. what is the probability of rolling a 2 the first time and a number greater then 1 the second time?
Answers
Answer:
5/6
Step-by-step explanation:
Because there are 6 sides, and it's saying we need a greater number than 1. And there are 5 other numbers.
A brochure claims that the average maximum height a certain type of plant is 0.7 m. A gardener suspects that this estimate is not accurate locally due to soil conditions. A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m. Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m. Assume that the population standard deviation is 0.2 m.
Answers
Answer:
We accept the null hypothesis, that is, that the population mean is not different from 0.7.
Step-by-step explanation:
A brochure claims that the average maximum height a certain type of plant is 0.7 m.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 0.7[/tex]
A gardener suspects that this estimate is not accurate locally due to soil conditions.
Hypothesis test to determine whether the population mean is different from 0.7m, which means that the alternate hypothesis is:
[tex]H_{a}: \mu \neq 0.7[/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.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7[/tex]
A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.
This means, respectively, that [tex]n = 43, X = 0.65[/tex]
Assume that the population standard deviation is 0.2 m.
This means that [tex]\sigma = 0.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.65 - 0.7}{\frac{0.2}{\sqrt{43}}}[/tex]
[tex]z = -1.64[/tex]
Pvalue of the test:
Since we are testing that the mean is different of a value, and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -1.64
z = -1.64 has a pvalue of 0.0505
2*0.0505 = 0.101
Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.
0.101 > 0.01, which means that we accept the null hypothesis, that is, that the population mean is not different from 0.7.
The Total cost to rent 5 chairs and 3 tables is $31 dollars. What is the cost to rent each chair and each table? No links please
Answers
Answer:
b
Step-by-step explanation:
Help shefeejhrhrhhtuy
Answers
Answer:
c. 80,360
Step-by-step explanation: multiply the number of cases they make each day by the amount of pastries each case contains
A χ2 goodness-of-fit test where all assumptions were met yielded the chi-square test statistic χ2=1.92 and a corresponding p-value of 0.75. The researcher interpreted the p-value as a 0.75 probability of observing a test statistic of χ2=1.92 or larger. What is wrong with the researcher’s interpretation?
Answers
Answer:
The researcher did not state that the p-value is conditional on the null hypothesis being true.
Step-by-step explanation:
The p-value or the assumed value represent the probability in which the test results that are received would be atleast extreme in that the null hypothesis would be correct
Here the wrong thing would be that researcher would not stated the p value is in conditional form based on the null hypothesis being true
Therefore the correct option is A.
“What is the gradient of the graph shown?”
someone please help I don’t understand how to do this.
Answers
Answer:
Step-by-step explanation:
It is easy to see that (-2, 0) and (0, -4) are points on the line.
gradient = (difference of y-coordinates)/(difference of x-coordinates) = (0-(-4))/(-2-0) = 4/(-2) = -2
!!BRAINLIEST!! Is the opposite of I-5I 5?
Answers
Answer:
No. It is not. The opposite is -5
Step-by-step explanation:
I -5 I
The symbols; | | represents absolute value.
It gives the non negative value of that number irrespective of the sign of the number.
That is;
| -a | = a and | a | = a
So in this case;
| -5 | = 5
Opposite of 5 = -5
So the answer is FALSE!
HELP I NEED HELPPP!!!!
Answers
Answer:
<B=24
Step-by-step explanation:
<B=x
<A=5(x+7.2)
x+5(x+7.2)=180
x+5x+36=180
6x=180-36
6x=144
x=24
Answer and Step-by-step explanation:
When two angles are supplementary, the add up to 180 degrees.
Measure of angle A is 5 times the sum of the measure of angle B + 7.2.
So, we have b, and we have a.
a + b = 180
a = 5(b + 7.2)
b = ?
We input 5(b + 7.2) for a into the equation.
5(b + 7.2) + b = 180
Now we distribute the 5 and combine like terms.
5b + 36 + b = 180
6b + 36 = 180
Subtract 36 from both sides, then divide both sides by 6 to get b.
6b = 144
b = 24
The measure of angle B is 24 degrees.
#teamtrees #PAW (Plant And Water)
plzzzz help will
get brainliest
Answers
Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9
Answers
Answer:
I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)
Please help me and happy april fools day! B)
Answers
Answer:
A,C,D,F
Step-by-step explanation:
My car magazine reports the numbers of miles driven for different amounts of fas for
Three car. Which car travels the fastest on 1 gallon of gas explain
Answers
Answer:
yes and no a.a
Step-by-step explanation:
Car A travels the fastest on 1 gallon of gas.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. The unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given that car, the magazine reports the numbers of miles driven for different amounts of fas for Three car.
Consider us solving for the miles per gallon of individual cars
A. miles driven =140
A gallons= 5
x= 140/5
x= 28 miles per gallon
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ5
Please help me with this
Answers
Samantha is 3 years older than her twin sisters. Next year the sum of age ages of all 3 sisters will be 45. how old is Samantha now?
Answers
2 twin sisters
3 years older
Explanation:
The 2 sisters are 45 years old and Samantha is 3 years older
Therefore, 48 years old
What is the median of this data set?
Enter your answer in the box.
Answers
Answer:
2/8 is the median
Step-by-step explanation:
Answer: The median is 2/8
Step-by-step explanation:
Because the median is the middle number, and 2/8 is at the middle.
In the spring of 2017, the Consumer Reports National Research Center conducted a survey of 1,007 adults to learn about their major healthcare concerns. The survey results showed that 579 of the respondents lack confidence they will be able to afford health insurance in the future. (a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future. (Round your answer to two decimal places.) (b) At 90% confidence, what is the margin of error
Answers
Answer:
a) The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.
b) The margin of error is of 0.03.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Point estimate:
The point estimate is [tex]\pi[/tex].
Margin of error:
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
(a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future.
579 out of 1007 adults. So
[tex]\pi = \frac{579}{1007} = 0.575[/tex]
Rounding to two decimal places, 0.58
The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.
(b) At 90% confidence, what is the margin of error
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.58*0.42}{1007}}[/tex]
[tex]M = 0.03[/tex]
The margin of error is of 0.03.
If you can drive 340 miles in 5 hours, what is the unit rate? *
(2 Points)
Enter your answer