Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5. 7 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 10 samples is 6. 1 ppm with a variance of 0. 25. Does the data support the claim at the 0. 01 level? Assume the population distribution is approximately normal. Step 4 of 5: Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places
Answers
If the absolute value of the calculated t-value is greater than or equal to 3.250, reject the null hypothesis.
To determine the decision rule for rejecting the null hypothesis, we need to calculate the test statistic.
First, we need to calculate the standard error of the mean:
standard error = square root of (variance/sample size)
standard error = square root of (0.25/10)
standard error = 0.158
Next, we can calculate the t-statistic:
t = (sample mean - hypothesized mean) / standard error
t = (6.1 - 5.7) / 0.158
t = 2.532
Using a two-tailed test at the 0.01 level of significance and 9 degrees of freedom (10 samples - 1), the critical t-value is ±3.250.
Since our calculated t-value of 2.532 is less than the critical t-value of ±3.250, we fail to reject the null hypothesis.
Therefore, the data does not support the claim that the current ozone level is at an excess level at the 0.01 level of significance.
Decision rule for rejecting the null hypothesis:
If the absolute value of the calculated t-value is greater than or equal to 3.250, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
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Related Questions
Given that a line has a y-intercept of 3 and an x-intercept of 4, write an equation for the line.
Answers
Given that a line has a y-intercept of 3 and an x-intercept of 4
The equation of the line is 4y−12=3x.
The line has an x-intercept at x=−4 and y intercept at y=3, this means that the line passes through the points (−4,0) and (0,3).
Now we find the slope m of the line passing through the points (−4,0) and (0,3) (x-intercept).
The slope of the line is:
\(m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{3-0}{0-(-4)} = \frac{3}{4}\)
Point-Slope Formula:
y−y1=m(x−x1) where m is the slope and (x1,y1) is the given point.
Now substituting the values:
\(y-0 = \frac{3}{4} (x-(-4))\)
\(y = \frac{3}{4}(x+4)\)
\(4y = 3(x+4)\)
\(4y = 3x + 12\\4y-12 = 3x\)
Hence, the equation of the line is 4y−12=3x.
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The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of Y and the line. T/F
Answers
The given statement "The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of Y and the line" is True because simple linear regression is a statistical method used to identify the linear relationship between one independent and one dependent variable, by minimizing the sum of the squared deviations between each value of the dependent variable and the line.
Simple linear regression is a method for estimating the relationship between a dependent variable and an independent variable. The dependent variable is defined as the variable being predicted or estimated. The independent variable is the variable that is predicted or estimated from the dependent variable.
The simple linear regression equation y = a + bx represents a straight line that fits the data, with a being the y-intercept and b being the slope of the line. The goal of simple linear regression is to find the values of a and b that minimize the sum of the squared deviations between each value of y and the line.
The least-squares regression line is the line that best fits the data by minimizing the sum of the squared deviations between each value of y and the line. This is also known as the line of best fit, as it represents the best possible fit to the data.
When creating a simple linear regression equation, the goal is to find the values of a and b that will result in the least-squares regression line. This line represents the line that best fits the data and minimizes the sum of the squared deviations between each value of y and the line.
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What is the slope of the line that passes through the points (9,-5) and
(1, -1)? Write your answer in simplest form.
Answers
Answer: -1/2
Step-by-step explanation:
See attached
You deposit $3,000 in a savings account earning 1. 5% interest. You make no other deposits or withdrawals. What is in the account after 2 years?
Answers
Answer: $3090.675
Step-by-step explanation: If you need to round the last number you can but I wasn't sure if I should round it or not.
Answer the following question in *full sentences*
What does the equation 100+0.05p=0.25p represent?
Answers
The value of "p" will be "0.002".
Equation:According to the question,
\(100+0.05p=0.25p\)By subtracting "0.25p" from both sides, we get
→ \(100+0.05p-0.25p=0.25p-0.25p\)
\(100-0.2p=0\)
\(100=0.2p\)
\(p = \frac{0.2}{100}\)
\(= 0.002\)
Thus the above approach is right.
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Yazmin is collecting data for her environmental science class. She catalogued all the trees in an acre of the nature preserve. She found 8 oak trees, 4 pecan tree, 2 crepe myrtle trees, and 2 magnolia trees. If the nature preserve covers 280 acres, how many pecan trees are likely to be in the park?
Answers
Answer:
maybe 70
Step-by-step explanation:
which graph best describes the anthropologists theory?
Answers
Answer:
I think it's letter B.
not sure my answer:)
4+2(17-12)
PLEASE SIMPLIFY
Answers
Step by step:
4+(2)(5)
=4+10
= 14
Please help me will give Brain
Answers
Answer:
x = 90°
Step-by-step explanation:
Since AB is the diameter of the circle then
x = 90° ( angle in a semicircle )
Which linear graph represents a proportional relationship?
A graph of a straight line that passes through the points 0 comma 2 and 1 comma 2.
A graph of a straight line that passes through the points negative 1 comma 0 and negative 1 comma 1.
A graph of a straight line that passes through the points 0 comma 0 and 1 comma negative 2.
A graph of a straight line that passes through the points 0 comma 2 and 2 comma 3.
Answers
Answer: The answer is C
Step-by-step explanation: i took the test and got it right
A company orders 11 boxed lunches from a deli for $108.90. If each boxed lunch costs
the same amount, how much do 17 boxed lunches cost?
Answers
Answer:
$7.95
Step-by-step explanation:
The equation c = 7.95b represents the total cost of the boxed lunches
c represents the total cost
b represents the number of boxed lunches
To find the total cost of multiple items, you generally multiply the cost of a single item by the number of items there are.
Using this, we can find the cost per item is 7.95 dollars, or 7 dollars and 95 cents.
Do 108.90 divided by 11 to get the price of one of the boxes then multiply it by 17
If the edge of a cube measures 8 cm. Find it volume, its surface area
Answers
Answer:
Volume: 512cm
Surface Area: 384 cm
Step-by-step explanation:
Volume formula: V= length x width x height
Surface Area formula: A= 6a^2 ; a = edge
Write the square or cube fit each number.
Answers
Answer and Step-by-step explanation:
1) 12*12 = 144
2) 2*2*2 = 8
I need help with question two please, it’s due tomorrow first thing so kinda need to get it done
Answers
Which table represents a linear equation
Answers
four times a number added to 3 times a larger number is 31. seven subtracted from the larger number is equal to twice the smaller number. let x represent the smaller number and y represent the larger number. which equations represent this situation?y
Answers
The equations that represent the given situation, where four times a number added to 3 times a larger number is 31 and seven subtracted from the larger number is equal to twice the smaller number, are y + 3x = 31 and y - 7 = 2x.
Given:
The result of multiplying an integer by itself three times is 31.
When seven is removed from a greater number, the smaller number is multiplied by two.
Let x stand for the lower value and y for the higher number.
To solve:
Equations that represent this situation
Solution:
The equations that represent this situation are y + 3x = 31 and y - 7 = 2x.
We can see that the first equation states that the larger number (y) plus three times the smaller number (3x) equals 31. The second equation states that the larger number (y) minus seven (7) equals twice the smaller number (2x). Therefore, these equations represent the given situation.
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Solve the system of equations 3x – 3y = 30 and 2x + y = 11 by
combining the equations.
Answers
6x-6y=60
6x+3y=33
Minus the bottom by the top
-9y=27
y=-3
substitute this in to one of the equations
2x -3 = 11
add 3 to both sides
2x=14
x=7
In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they had exercised in the past 24 hours.For the 39 randomly selected upperclassmen, the sample mean was 0.76 and sample standard deviation was 0.75.For the 35 randomly selected underclassmen, the sample mean was 0.60 and the sample standard deviation was 0.73.What is the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen?
Answers
The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16.
To find the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen, you need to subtract the sample mean of underclassmen from the sample mean of upperclassmen.
Sample mean of upperclassmen = 0.76
Sample mean of underclassmen = 0.60
Point estimate = Sample mean of upperclassmen - Sample mean of underclassmen
Point estimate = 0.76 - 0.60
Point estimate = 0.16
The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16, which indicates that on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours.
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classify the equation 6(x+2)=5(x+7) as having one solution, no solution, or infinity many solutions
Answers
classify the equation 6(x+2)=5(x+7) as having one solution, no solution, or infinity many solutions
we have the equation
6(x+2)=5(x+7)
solve for x
6x+12=5x+35
6x-5x=35-12
x=23
therefore
the answer is
one solutionYou have determined that a statistical study is biased. What does this mean? A. Errors were made in data collection. B. Participants were only given three choices. C. Not enough people were surveyed. D. Participants were lead to respond in a specific way. PLEASE HELP ME PASS!!!!!!!!!
Answers
Answer: Participants were lead to respond in a specific way.
Step-by-step explanation: Bias is an inherent misjudgment about something. Often, this can mean that the wording of the question leads the participants to respond in a specific way.
The statement "a statistical study is biased" means (D) Participants were led to respond in a specific way.
What is a Biased Event?An event is said to be biased or not fair if the object or source of data is tampered with consciously to control the result or probability of different events. For example, if we make a coin in a way that if we flipped that coin we always get head to make the probability to get tail 0, then the coin is a biased coin and a stud,y using that is a biased study. So in given choices,
(A) Errors in data are mistakes made in the unconscious mind. It cannot be the meaning or cause of the biased event.
(B) If participants were only given three choices then they can make different choices using those three so it is partially biased not fully biased.
(C) Not enough people were surveyed cannot be meaning or reason for biased data as the number of experimental data is mentioned in the experiment. So experiment can be done with any size of the sample depending on which the result will be different but not biased.
(D) If participants lead to respond in a specific way then it is a conscious try to control the statistical data. So it is the meaning of the biased statistical study. Hence the correct option is (D).
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Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters
Answers
(11) The measure of angle IGJ is 46⁰.
(12) The measure of arc JH is determined as 138⁰.
What is the measure of the arc or central angle indicated?The measure of the arc or central angle indicated is calculated as follows;
(11) The measure of angle IGJ is calculated as follows;
m∠LGK = arc angle LK (interior angle of intersecting secants)
m∠LGK = 48⁰
m∠HGI = m∠LGK = 48⁰ (vertical opposite angles are equal)
m∠IGJ + m∠HGI + m∠JGK = 180⁰ (sum of angles in a straight line)
m∠IGJ + 48⁰ + 86⁰ = 180
m∠IGJ = 180 - 134
m∠IGJ = 46⁰
(12) The measure of arc JH is calculated as follows;
arc JH = arc JI + arc IH
arc JI = arc FG
arc FG = 180 - 137⁰ (sum of angle in a straight line)
arc FG = 43⁰
arc FG = arc JI (vertical opposite angles are equal)
arc JH = arc JI + arc IH
arc JH = 43⁰ + 95⁰
arc JH = 138⁰
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Problem 1: Automobile Manufacturing (17 pts) An automobile company makes 4 types of vehicles namely: regular cars (C), electric cars (E), motorbikes (M) and trucks (T). The manufacturing process involves two main steps: parts assembly and finishing touches. For the parts assembly, 2 days are required per regular car, 4 days per electric car, 1 day per motorbike and 3 days per truck. For finishing touches 2 days are required per regular/electric car, 1 per motorbike and 3 days per truck. The parts assembly and finishing touches steps should not exceed 60% and 40% of the available production time, respectively. The profit for manufacturing a regular car, an electric car, a motorbike and a truck are 10,000$, 12,000$,5000$ and 15,000\$, respectively. To limit the production of motorbikes and to promote the production of electric cars, the company makes no more than 1 motorbike in every 20 working days and makes at least 1 electric car in every 20 working days. This comnany would like to know how many vehicles of each type should produce in order to maxin profit in 40 days. Part A) Write the mathematical formulation for this problem (7 pts)
Answers
Maximize Z=10000C+12000E+5000M+15000T
Subject to 2C+4E+M+3T ≤ 0.6× 40× 24
2C+2E+M+3T ≤ 0.4× 40× 24
M ≤ 40/20
E ≥ 20/40 C, E, M, T ≥ 0
Let the number of regular cars, electric cars, motorbikes and trucks produced in 40 days be C, E, M and T respectively.
The objective is to maximize the profit. Therefore, the objective function is given by:
Maximize Z=10000C+12000E+5000M+15000T
Subject to,The manufacturing time constraint, which is given as 2C+4E+M+3T ≤ 0.6× 40× 24
This constraint ensures that the total time taken for parts assembly does not exceed 60% of the total time available for production.The finishing time constraint, which is given as 2C+2E+M+3T ≤ 0.4× 40× 24
This constraint ensures that the total time taken for finishing touches does not exceed 40% of the total time available for production.
The limit on the production of motorbikes, which is given as M ≤ 40/20
This constraint ensures that the number of motorbikes produced does not exceed one in every 20 days.The minimum production of electric cars, which is given as E ≥ 20/40
This constraint ensures that at least one electric car is produced in every 20 days.The non-negativity constraint, which is given as C, E, M, T ≥ 0
These constraints ensure that the number of vehicles produced cannot be negative.
The mathematical formulation for the problem is given by:
Maximize Z=10000C+12000E+5000M+15000T
Subject to 2C+4E+M+3T ≤ 0.6× 40× 24
2C+2E+M+3T ≤ 0.4× 40× 24
M ≤ 40/20
E ≥ 20/40 C, E, M, T ≥ 0
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chance tries to run 3 miles a day he ran 1525 yards in the morning and 1775 yards in the afternoon how many yards does he need to run
Answers
Step-by-step explanation:
1525 yards + 1775 yards = 3,300 miles.
3300 yards = 1.875 miles (exactly)
3 miles subtract 1.875 miles = 1.125 miles.
Therefore Chance needs to run 1.125 miles or 1,980 yards more.
Can someone please help me I’m stuck I don’t know what to do
Answers
Answer: its the 2nd one
Step-by-step explanation:
Maria deposited 1200 in savings account for 5 years. The
interest rate is 4. 5%. What will be total balance in her account
after 5 years.
Answers
Answer:
compound interest would be,
1495.91
and simple interest would be,
1470
Step-by-step explanation:
compound interest would look like,
1200 x 1.045 x 1.045 x 1.045 x 1.045 x 1.045
and simple interest would look like,
1200 x 0.045 = 54 = 4.5%
54 x 5 = 270
1200 + 270 = 1470
the supervisor of a call center would like to assemble a committe of 8 people from a staff of 15 call center agents. how many diffrent comittes can be chosen
Answers
Supervisor can choose 6435 different such 8 people committees from 15 call center agents.
We know that we can choose ' r ' number elements or persons from ' n ' number of elements or persons respectively in C(n, r) ways if we do not replace once chosen elements.
Here the total number of staff of call center agent is = 15
So n = 15.
And supervisor of the call center has to choose 8 agents from that group of 15 agents.
So, here r = 8.
Here as supervisor chooses a person he or she cannot be selected as two people.
So the event is without replacement.
Thus by the combination formula, the number of different such committees can be chosen by supervisor is = C(15, 8) = 6435.
Hence, supervisor can choose 6435 different such 8 people committees from 15 call center agents.
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All triangles have the same value, and all circles have the same value. What is the sum of three circles
Answers
The sum of three circles could be equal to 9
We know that a triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
We are given that All triangles have the same value, and all circles have the same value.
WE can see that the triangle = 5
And there are number of circle= 3
Therefore, the sum of three circles = 9
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Which of these could be a step to prove that BC^2 = AB^2 + AC ^2
Answers
Answer:
B
Step-by-step explanation:
bc thats the answer you put
Pls help I am giving brainliest
Answers
Answer:
17.3
Step-by-step explanation:
let required number is x
100% of x =7.3
1% of x =7.3/100
1% of x= 0.073
237% of x=0.073*237
237% of x=17.3
Eric walks around a triangular path. At each corner, he records the measure of the angle he creates. He makes one complete circuit around that path. What is the sum of three angle measures that he wrote down
Answers
Answer:
180 degrees
Step-by-step explanation:
What we simply want to do here is to find the sum of all the angles marked by Eric as he walks around the triangular path.
From the question, we are told that he walks around and made a complete circuit, marking a specific angle at each corner. So what this translates to is that at each corner, we have an angle, with the three angles marked forming a triangle.
And from preliminary trigonometry, we know that the sum of angles in a triangle is 180. So by adding each of the angles in the triangular part together, we have a total of 180 degrees
Answer:
180
Step-by-step explanation: