State your conclusion to the following hypothesis test.
A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted.
The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07.
Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.
Question 11 options:
a.there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
b.there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
c.there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
c.there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
Construct the equation of the regression line.
An editing firm compiled the following table which lists the number of pages contained in a piece of technical writing and the cost of proofreading and correcting them (in dollars). Assume there is a significant linear relationship between X and Y and construct the equation of the linear regression line.
Number of Pages, x
7
12
4
14
25
30
Cost, y
128
213
75
250
446
540
Question 28 options:
yˆ=17.9(x)+1.6
yˆ=15.4(x)+7.1
yˆ=1.6(x)+17.9
yˆ=7.1(x)+15.4
Use the model to make the appropriate prediction.
A sociologist wanted to determine whether there was a relation between a state's poverty rate (x) and its teen pregnancy rate (y). Data from all 50 states produced the regression model:
yˆ=4.3+1.4(x)
What does the model suggest for the poverty rate of Florida, which has a poverty rate of 16.6?
Answer:
Part A
a. There is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05
Part B
[tex]\hat Y[/tex] = 17.9·(x) + 1.6
Part C
The teen pregnancy rate in Florida is 6.54
Step-by-step explanation:
The percentage of graduates that find full-time employment in their fields within the first year of graduation = 87%
The significant level of the hypothesis test = 5% = 0.05
The p-value = 0.07
Given that the testing conditions are met, we have;
The p-value is larger than the significant level of 0.05, therefore, it cannot be concluded that there is significant difference between the two rates
Therefore;
There is not enough statistical evidence available to come to a conclusion that the placement rate of full-time students has reduced below the given 87% because from the statistics, the p-value is larger than 0.05.
Part B
Number of Pages, x; 7, 12, 4, 14, 25, 30
Cost, y; 128, 213, 75, 250, 446, 540
The regression analysis formula is;
Y = a + b·X
We have;
[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]
∴ b = (6×34602-92×1652)/(6×1930 - 92²) ≈ 17.852
[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]
a = (1652 - 17.852 × 92)/6 ≈ 1.6
∴ Y ≈ 17.9·(x) + 1.6
Part C
The given regression model is y = 4.3 + 1.4(x)
Therefore, at x = 1.6, we get;
y = 4.3 + 1.4 × 1.6 = 6.54
The suggests that the teen pregnancy rate in Florida is 6.54.
Mrs. Remeto separate would like to buy a television TV set payable for 6 months starting at the end of the month how much is the cost at the TV set if her monthly payment is P3,000 and interest is 9% compounded semi annually?
If her monthly payment is P3,000 and interest is compounded semi-annually at 9%, the cost of the TV set comes to P17,545.08.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest.
In finance and economics, compound interest is common.
In contrast to simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time.
The interest per period multiplied by the number of periods in a year yields the simple annual interest rate.
According to our question-
9% = 0.09 / 2
=0.045 + 1 =1.045^(1/6)
=1.00736312 - 1 x 12 x 100
=8.836%
PV=0;
PMT=3000;
R=0.08836/12; N=6; PV
=PMT*(((1 + R)^N - 1)*((1 + R)^-N)* R^-1)
PV==17,545.08
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Which bag of potatoes is the better deal?
Answer:
5 kg.
Step-by-step explanation:
2 kg for $0.96 is more expensive than 5 kg for $1.95
can y’all help me please
Answer: we need more information to solve
Step-by-step explanation:
If there are 1000 meters in one kilometer, how many kilometers are in 4230 meters?
Q 9-1 Pythagorean Theorem and Trig
A girl is 20 ft. east of her school and her bike is 21 ft. south of the school. How far is she from her bike? Round to the nearest hundredth.
Answer: 29 ft
Step-by-step explanation:
Based on the description we are given. we know that we can form a right triangle, where 20 and 21 are the legs. The length from the girl to the bike would be the hypotenuse. To do this, we need to use the Pythagorean Theorem, which is [tex]a^2+b^2=c^2[/tex], where a and b are legs, and c is hypotenuse. We can go ahead and plug them in.
[tex]20^2+21^2=c^2[/tex] [exponent]
[tex]400+441=c^2[/tex] [add]
[tex]841=c^2[/tex] [square root both sides]
[tex]c=29[/tex]
Therefore, the distance from the girl to the bike is 29 ft.
Help me please I will mark brainiest if you give me the right answer
Answer:
Well the area is 28.27
Step-by-step explanation:
The question is unfinished ¯\_(ツ)_/¯
Answer:
36π [tex]in^{3}[/tex]
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex] = 9π
[tex]r^{2} = 9[/tex]
r = 3 = radius of the sphere
V = [tex]\frac{4\pi r^{3} }{3}[/tex] = [tex]\frac{4\pi 3^{3} }{3} = \frac{4\pi *27}{3}[/tex]
= 36π [tex]in^{3}[/tex]
pls help!!! asap!! will give brainliest NO LINKS
Answer:
it's -63
good luck if you want explanation comment
Answer: 63
Step-by-step explanation:
All triangles' angles added up should be 180 degrees, so 70+47=117 and 180-117=63.
180 = a+b+c
180 = 47 + 70 + c
180 - 47 - 70 = c
or,
180 - (47+70) = c
The area of a square is 275 square meters and one side length is 55 meters. What is the perimeter of the square?
Answer:
220 meter
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Area of square = 275 square meters
Side length (a) = 55 meters
We can calculate the perimeter of square by using following formula,
Perimeter of square = 4a
By putting the value, we get
Perimeter of square = 4 × 55 mt
= 220 meter
Hence, the perimeter of the square is 220 meter.
¿Cuántos decimetros hoy en un metro?
A nail salon raises their price for nails from $25 to $30. What is the percent increase?
Answer:
17%
Step-by-step explanation:
5 out of 30 is 17%
5/30 = 5 ÷ 30 = .16. rounds to .17 =17%
Past data indicate that the amount of money contributed by the working residents of a large city to a volunteer rescue squad is a normal random variable with a standard deviation of $1.40. It has been suggested that the contributions to the rescue squad from just the employees of the sanitation department are much more variable. If the contributions of a random sample of 12 employees from the sanitation department have a standard deviation of $1.75, can we conclude at the 0.01 level of significance that the standard deviation of the contributions of all sanitation workers is greater than that of all workers living in the city?
Answer:
We fail to reject the Null and conclude that the standard deviation of the contributions of all sanitation workers is not greater than that of all workers living in the city.
Step-by-step explanation:
σ = 1.40 ; σ² = 1.40² = 1.96
H0 : σ² = 1.96
H0 : σ² > 1.96
Given that:
Sample size, n = 12
Population Standard deviation, σ = 1.40
Sample standard deviation, s = 1.75
α = 0.01
The test statistic :
χ² = [(n-1)s²] ÷ σ²
χ² = [(12 - 1) * 1.75²] ÷ 1.40²
χ² = (11 * 3.0625) ÷ 1.96
χ² = 33.6875 / 1.96
χ² = 17.1875
χ² = 17.19
Using the Pvalue from Chisquare score calculator;
df = n - 1 ; 12 - 1 = 11
Pvalue ; χ²(17.19, 11) = 0.10238
Since Pvalue > α ; We fail to reject the Null and conclude that the standard deviation of the contributions of all sanitation workers is not greater than that of all workers living in the city.
a rectangular picture frame has dimensions of 2 feet by 3 feet.
I dont know
I would just pick c
In the diagram below, line f is parallel to line g, and line l intersects them as shown.
If m 2 is increased by moving line l, which statement is true?
A. m 8 would increase
B. m 6 would decrease
C. m 4 would remain the same
D. m 3 would increase
Answer:
m 8 would increase, or A
Step-by-step explanation:
The conversion of a temperature from Celsius to Fahrenheit is represented by the expression below, where C is the temperature in degrees Celsius. Use the expression to find the Fahrenheit temperature equivalent to 15° C.
The expression to convert celcius to Fahrenheit isn't given.
Answer:
59°F
Step-by-step explanation:
However, the expression required for the conversion is :
Temperature (°F) = [Temperature (°C) * 1.8] + 32
Therefore, using the expression, we can convert a celcius temperature of 15°C to Fahrenheit ;
Temperature (°F) = (15 * 1.8) + 32
Temperature °F = 27 + 32
Temperature °F = 59°F
Identify like terms
24a - 12b + 4 - 8a
Answer:
The like terms in this expression are 24a and -8a, and -12b and 12b.
Step-by-step explanation:
The like terms 24a and -8a can be combined by adding the coefficients and the variables, which gives us 24a - 8a = 16a.
The like terms -12b and 12b can be combined by adding the coefficients and the variables, which gives us -12b + 12b = 0.
So the like terms in this expression are 24a, -8a, and -12b, 12b.
A) A sequence is defined using this term-to-term rule.
Un+1 = 2un+ 20
If uy = 8, find u2
b) Another sequence is defined using this term-to-term rule,
unty = ku,+r
where k and rare constants.
Given that u, = 37, uz = 188 and ug = 943, find the value of k and
the value of r.
The Value of the two constants K and R are 5 and 3 respectively.
a) To find u2, you can substitute u1 = 8 into the term-to-term rule to get:
u2 = 2u1 + 20 = 2(8) + 20 = 36
So u2 = 36.
b) To find the values of k and r, you can use the given values of u1, u2, and u3 to set up a system of equations. Using the term-to-term rule:
u2 = ku1 + ru3 = ku2 + rSubstituting in the given values:
u2 = 188 = k(37) + ru3 = 943 = k(188) + rSolving for r and k, we get:
k = 5 and r = 3.
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find the output, g, when the input, r is 3
g= -5 + 13
The output of function g(r) = -5x + 13 when r is 3 is -2.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
g(r) = -5r + 13
Input r = 3
g(3)
= -5 x 3 + 13
= -15 + 13
= - 2
Thus,
The output is -2.
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A set of data has the trend line modeled by the equation Y =1.5x + 11. What value of X corresponds to y =56?
Answer:
x = 30
Step-by-step explanation:
Plug in 56 in place of y, then solve for x.
56 = 1.5x + 11
Subtract 11.
45 = 1.5x
Divide both sides by 1.5.
45/1.5 = x
30 = x
Answer:202
Step-by-step explanation:
I did it
Could someone help!
How much of your data would be included within 2 standard deviations of the mean?
A) 68%
B) 95%
C) 97%
D) 99.7%
Max bought a 5 kg cake for his birthday party. After eating 1 3 of it, he cut the remaining cake into pieces of 1 6 kg each. How many pieces of cake did Max cut?
Answer:
10
Step-by-step explanation:
Cake remaiing after eating 1/3 = 1/3 x 5 = 5/3 kg
let x = pieces he divided the cake into
5/3 ÷ x = 1/6
1/ x = 3/5 x 1/6 = 1/10
x = 10
Please help me NO LINKS PLEASEE
Answer:
(-1, -5)
Step-by-step explanation:
going to the left makes you go into the (-, +) plane and going down from there makes you go into the (-, -) plane.
PLZ HELP DESPERATE NO LINKs! Will mark brainliest
Answer:
Step-by-step explanation:
y is 40 and x is 21
so xy=61
Answer:
Y=40
X=21
XY=61
I hope you have a spectacular day and take mental health breaks!
PLEASE ANWSER!!!
PICTURE
Answer:
The 4th would be 0.25
Step-by-step explanation:
Can the sine ratio of an acute angle be greater than 1?
No, the sine ratio of an acute angle cannot be greater than 1. The sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio will always be less than one.
To what does sin equate?
In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.
It's important to note that if you were to give an angle value greater than 90 degrees, the sine of the angle will be a negative value, but the ratio will still be less than one.
The sine ratio is a value between -1 and 1, and it is impossible for the sine of an acute angle to be greater than 1.
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What is horizontal give example?
A horizontal line is a line extending from left to right. When you look at the sunrise over the horizon you are seeing the sunrise over a horizontal line. The x-axis is an example of a horizontal line.
Now, According to the question:
What is a Horizontal Line?
Horizontal lines are also known as sleeping lines. In coordinate geometry, horizontal lines are those lines that are parallel to the x-axis. In geometry, we can find horizontal line segments in many shapes, such as quadrilaterals, 3d shapes, etc. In real life, we can find horizontal lines on the steps of the staircase, planks on the railway tracks, etc.
The x-axis is an example of a horizontal line.
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c.) Find the Surface Area of the Regular Pyramid. Surface Area: Volume: 24 yds 20 yds
please help me outt the image is below
Answer:
ggjhh
Step-by-step explanation:
gf Dayanand on fall in didn't you
find the mean,median and mode for x,2x,3x,4x,5x
Answer:
Mean: 3x
Median: 3x
Mode: None
Step-by-step explanation:
The mean is the sum of all the numbers divided by how many there are.
x + 2x + 3x + 4x + 5x = 15x and 15x/5 = 3x. So the mean is 3x.
The median is the number in the middle when the values are in order from least to greatest. The median is 3x.
The mode is the number that appears most often in the data set. In this case, the mode is none because no number appears more than the other numbers.
How do you know if its logarithmic or exponential?
The difference between logarithmic and exponential functions can be determined by looking at the form of the equation and by performing a calculation.
A logarithmic equation is written as log_b(x) = y, where b is the base and x and y are variables. An exponential equation is written as b^x = y, where b is the base and x and y are variables.
To determine if an equation is logarithmic or exponential, begin by comparing the form of the equation to the two equations above. If the equation is written in the form of log_b(x) = y, then it is a logarithmic equation. If the equation is written in the form of b^x = y, then it is exponential.
To perform a calculation, plug in a known value for x and then solve for y. For example, if the equation is log_2(x) = 4, then plug in x = 8. The calculation would then be:
log_2(8) = 4
This is a logarithmic equation, as the form of the equation matches log_b(x) = y.
If the equation is b^x = 16, then plug in x = 4. The calculation would then be:
2^4 = 16
This is an exponential equation, as the form of the equation matches b^x = y.
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