Using traditional methods it takes 8.5 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 21 students and observed that they had a mean of 8.8 hours with a variance of 1.21. Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses
Answers
There is not enough evidence at the 0.05 level that the technique performs differently than the traditional method.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no evidence of different performance, that is, the mean is of 8.5 hours, hence:
[tex]H_0: \mu = 8.5[/tex]
At the alternative hypothesis, it is tested if there is evidence of different performance, with a mean different of 8.5 hours, hence:
[tex]H_1: \mu \neq 8.5[/tex]
We have a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, hence the critical value is of:
|z| = 1.96.
(p-value of 1 - (0.05/2)).
Hence the decision rule is given as follows:
|z| < 1.96 -> do not reject the null hypothesis -> not enough evidence.|z| > 1.96 -> reject the null hypothesis -> enough evidence.What is the test statistic?The population standard deviation is known, hence the z-distribution is used to obtain the test statistic.
The equation is given as follows:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.The parameters for this problem are given as follows:
[tex]\overline{x} = 8.8, \mu = 8.5, \sigma = \sqrt{1.21} = 1.1, n = 21[/tex]
Hence the test statistic is of:
[tex]z = \frac{8.8 - 8.5}{\frac{1.1}{\sqrt{21}}[/tex]
z = 1.24.
|z| < 1.96, hence there is not enough evidence at the 0.05 level that the technique performs differently than the traditional method.
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Related Questions
A sphere is inscribed in a cone with height 4 and base radius 3. What is the ratio of the volume of the sphere to the volume of the cone
Answers
The radius of the sphere 1.5 units
The volume of the cone is pi (3)^2 *4 / 3 units^3 = 12pi units^3
The volume of the sphere is (4/3)pi (1.5)^3 units^3 = 4.5 units^3
So ratio of the volume of the sphere to the cone is :
4.5 pi / 12 pi = 4.5 / 12 = (9/2) / (24/2) = 9 / 24 = 3 / 8
What is radius?In geometry, the radius is defined as a line segment joining the center of the circle or a sphere to its circumference or boundary. It is an important part of circles and spheres which is generally abbreviated as 'r'. The plural of radius is "radii" which is used when we talk about more than one radius at a time. The largest line segment in a circle or sphere joining any points lying on the opposite side of the center is the diameter, and the length of the radius is half of the length of the diameter. It can be expressed as d/2, where 'd' is the diameter of the circle or sphere. Look at the image of a circle given below showing the relationship between radius and diameter.To learn more about diameter refer to:
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What happens to the signs when you reflect a point across both axes?
Answers
when we reflect a point (p, q) over the y-axis the y-coordinate stays the same but the x-coordinate changes signs so the image is (-p, q).
Reflect a point
A reflection point occurs when a figure is constructed around a single point known as the point of reflection or center of the figure.
coordinates
it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.
image of point
The image of the point about the line y=x can be obtained by interchanging the x-coordinate and y-coordinate of the point.
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Is x2 16 a perfect square trinomial?
Answers
No, x2 16 is not a perfect square trinomial.
What is perfect squares?Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."
A perfect square trinomial is a polynomial of the form a2+2ab+b2, where a and b are constants. This trinomial does not have the same pattern of constant coefficients. It is simply the product of two linear expressions, x2 and 16.
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Compute $17^{-1}\pmod{83}$. Express your answer as a residue from $0$ to $82$, inclusive.(You may find it helpful to consider the fact that $17\cdot 5
Answers
The residue from $0 to $82 is 44 ≡ x(mod83)
17−1≡x(mod83)
17∗17−1≡17x(mod83)
5∗1≡5∗17=85(mod83)
5≡2x(mod83)
42∗5=210≡2∗42x=84x≡x(mod83)
44 ≡ x(mod83).
A mathematical operations that performs a calculation on two numbers is known as an arithmetic provider. They are used in everyday arithmetic, and most computer languages include a set of such operators that can be used within equations to perform a variety of sequential calculations. The following are examples of basic arithmetic operations are:
(+) Addition
Subtraction (-) (-)
() Multiplication
() division
In programming, computers use different symbols to represent multiplication (*) and division (/). More complex operators, such as
Let's look at an ice cream multiplication example.
There are two groups, each has its own ice cream.
The total number of ice creams is 2x3=6
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A pizza delivery driver must make three stops on her route. She will leave the restaurant and travel 4 miles north to the first house. The next house is 6 miles away in the direction of east. She delivers the last pizza to the third stop, which is 5 miles south of the restaurant before she returns to the restaurant to pick up more pizza. What is her displacment for the entire trip
Answers
The displacement of the pizza delivery driver for the full journey is therefore 6.08 miles.
The pizza delivery driver's displacement for the entire trip is the total distance and direction that she travels from the restaurant to her last delivery and back.
To find her displacement, we can use the Pythagorean theorem to find the total distance from the start to the endpoint.
The displacement is the distance between the start and end point and the direction of the trip. Here we can see that she traveled 4 miles north, 6 miles east, and 5 miles south,
To find the displacement we will use the Pythagorean theorem (ax2 + bx2 = cx2)
where c is the displacement and a and b are the east-west and north-south distances respectively.
so, a = 6 miles (east-west)
b = (4 miles - 5 miles) = -1 miles (north-south)
so, c = √(ax2 + bx2)
c = √(6x2 + (-1)x2)
c = √(36 + 1)
c = √(37)
c = 6.08 miles
So the pizza delivery driver's displacement for the entire trip is 6.08 miles.
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2.6.2 Test (CST): Functions and Relations
Question 7 of 25
The function h(x) = -x] is a transformation of the absolute value parent
function, f(x) = [x]. Which graph shows h(x)?
Answers
Answer:
b
Step-by-step explanation:
The graph that shows the function h(x) = -x] which is a transformation of the absolute value parent function, f(x) = [x] is Option C.
The graph of the function h(x) = -x] is the reflection of the graph of f(x) = [x] about the x-axis. The graph of f(x) is piecewise defined as follows:
f(x) = x, when x ≥ 0f(x) = -x, when x < 0The graph of h(x) will have the same shape as f(x), but with all the y-values negated, so:
h(x) = -x, when x ≥ 0h(x) = x, when x < 0The graph of h(x) will thus be a downward-facing step function, with steps at x = 0, moving from -x to x as x moves from negative to non-negative values. Thus, Option C is correct.
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Option A: You are given $100 on the first day and then receive $10 each day for the month of February.
Option B: You are given one cent on the first day and that amount will double each consecutive day for the month of February.
Write a function rule to represent the total amount earned with Option A.
Write a function rule to represent the amount of money you will have earned with Option B.
Answers
The function rule to represent the total amount earned with Option A and earned with Option B are f(x) = 100 + 10x and f(x) = (1/100) * 2^x.
What is the function rule?
The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
For Option A, the total amount earned can be represented by the function:
f(x) = 100 + 10x
where x is the number of days in February (x = 28 for a standard non-leap year)
For Option B, the total amount earned can be represented by the function:
f(x) = (1/100) * 2^x
where x is the number of days in February (x = 28 for a standard non-leap year)
the above function will be in cents, to get dollar values divide it by 100.
hence, the function rule to represent the total amount earned with Option A and earned with Option B are f(x) = 100 + 10x and f(x) = (1/100) * 2^x.
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GIVEN: An exterior stud wall with brick veneer is 11 ft tall and 40 ft long. 25 % of the area of the wall is windows (glass, frame and sash). FIND: Total weight of the wall and the average dead load in lb/ft of the length of the wall (per foot of wall length) that the wall exerts on the floor.
Answers
The total weight of the wall is 49,500 lb, and the average dead load per foot of wall length is 1237.5 lb/ft.
To find the total weight of the wall and the average dead load per foot of wall length, we need to calculate the total area of the wall and the area of the windows, then use that information to determine the weight of the remaining brick veneer.
First, we calculate the total area of the wall by multiplying the length and height:
40 ft * 11 ft = 440 ft²
Next, we calculate the area of the windows by multiplying the total area of the wall by 25% (the percentage of the wall that is windows):
440 ft² * 0.25 = 110 ft²
Now we can find the area of the brick veneer by subtracting the area of the windows from the total area of the wall:
440 ft² - 110 ft² = 330 ft²
To find the weight of the brick veneer, we can assume a weight of 150 lb/ft². We can calculate this by multiplying the area of the brick veneer by the weight per square foot:
330 ft² * 150 lb/ft² = 49,500 lb
Now to find the average dead load in lb/ft of the length of the wall, we divide the total weight of the wall by the total length of the wall:
49500 lb / 40 ft = 1237.5 lb/ft
So the total weight of the wall is 49,500 lb, and the average dead load per foot of wall length is 1237.5 lb/ft.
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-x+3y=6 in slope intercept form pls i need to know!!!
Answers
Answer:
[tex]\sf \bf y = \dfrac{1}{3}x + 2[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + bWhere m is slope and b is y-intercept.
To write in slope intercept form isolate y.
To isolate y, first add 'x' to both sides,
-x + 3y = 6
3y = x + 6
Now, divide the entire equation by 3,
[tex]\sf \dfrac{3y}{3}=\dfrac{1}{3}x + \dfrac{6}{3}\\\\\\[/tex]
[tex]\sf \boxed{\bf y = \dfrac{1}{3}x + 2}[/tex]
What is the definition of a solution give 3 examples of a solution?
Answers
A homogenous mixture of two or more components is referred to as a solution.
Solution Examples: Brass is an illustration of a solid solution. Liquid solutions include aqueous hydrochloric acid as an illustration (HCl in water). Air is an illustration of a gaseous solution.
1)When we combine salt (often table salt) and water, we create salt water.
2)By combining sugar and water, sugar water is created.
3)Mouthwash is made up of various chemicals that have been dissolved in water.
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Write 4.2 as a mixed number and as an improper fraction.
Write your answers in simplest form.
0
improper fraction: 0
mixed number:
믐
8 0.8
X
Answers
As a mixed number, 4.2 can be written as 4 + 2/10.
As an improper fraction, 4.2 can be written as 21/5.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
What is a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
Since 4 + 2/10=4.2 so as a mixed number, 4.2 can be written as 4 + 2/10.
Also, 21/5=4.2 so, as an improper fraction, 4.2 can be written as 21/5.
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What is one of the main differences between a 401(k) and a Roth 401(k)?
O A. A Roth 401(k) is offered by banks, while a 401(k) is offered by an
employer.
B. The amount you can contribute depends on your age.
C. Contributions are taxed differently.
D. You have to be different ages in order to withdraw money.
Answers
Onr of the main differences between a 401(k) and a Roth 401(k): Contributions are taxed differently.
The correct answer is an option (C)
The difference between a 401(k) and a Roth 401(k) is that 401(k) is the income taxes on distribution whereas the Roth 401(k) is the income taxes on contribution.
Roth 401(k) is funded with after-tax money.
You can withdraw after-tax money once you reach retirement age.
A traditional 401(k) allows you to make contributions before taxes.
But in traditional 401(k) you have to pay income tax on the distributions in retirement.
Therefore, the main difference is: the income taxes on your contributions.
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What is a parent function example?
Answers
An example of a parent function is [tex]f(x) = x^{2}[/tex], which is the parent function to any quadratic equation.
The most basic form of a function is a parent function. Its essential shape is not changed in any manner. In mathematics, some graphs are frequently seen. Because of this, the graphs of quadratic functions, square roots, absolute values, cubics, and cube roots are among the original, widespread functions that are referred to as parent graphs.
For instance, you should still be able to identify the parabola that has undergone various transformations when you view a u-shaped graph that has been inverted and stretched vertically.
Here are a few examples to understand this concept further.
For a quadratic equation, the parent graph is [tex]f(x) = x^{2}[/tex], which is a parabola.For a cubic equation, the parent graph is [tex]f(x) = x^{3}[/tex].Let us take [tex]f(x) = x^{2}[/tex], which is the parent equation of any quadratic equation. The graph of this parent function is a parabola, which is shown below.
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What kind of triangle has 25 90 65?
Answers
25-90-65 is a right-angle triangle because one of the angles is 90°.
A right-angle triangle or orthogonal triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle), and two sides are perpendicular. The relationship between the sides and angles of the right triangle is the basis for trigonometry.
The hypotenuse is the facing side to the right angle. Legs are the adjoining sides to the right angle.
Properties of right angle triangle:
The right angle is the largest angle in a right-angle triangle.The hypotenuse, the opposite of the right angle, is the longest side.There are no obtuse angles in a right-angle triangle.Read more about right-angle triangles:
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Pls help Algebra1 pls help help help
Answers
Answer:
80
Step-by-step explanation:
80+10=90
90/18 = 5
Answer:
W=80
For both equations, you can substitute W for 80 and it would work/be true.
The other day, we made green water by mixing 5 ml of blue water with 15 ml of yellow water.
We want to make a very SMALL batch of the SAME shade of green water.
We need to know how much yellow water to mix with only 1 ml of blue water.
Answers
5 divided by 1 equals 5, so if we take that same rule and apply it to the other fraction; 15 divided by 5, we get 3. So 5ml/1ml = 15ml/3ml. ***You need to mix 3 ml of yellow water with 1 ml of blue water.***
What is the coefficient of y2 in the expression 3y² 4x?
Answers
The coeficient of y² in the expression is the number 3
What is an algebraic expression?
An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.
In the given expression we have the following:
3y² + 4x
As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 3.
3 is the coefficient of y²
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Look at the figure at the right. Explain one
thing that representing the area of the figure as 9(x + 3) - 6x tells
you about the situation. Then write an equivalent expression for
the area. Explain what information is in your expression that is not
in 9(x + 3) - 6x.
Answers
Answer:
3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18.
pls mark as brainliest
A rectangle and a _________ are quadrilaterals with four right angles.
Answers
Answer:
A rectangle and a square are quadrilaterals with four right angles.
Step-by-step explanation:
Hope it helps! =D
Please look at image.
Answers
Answer:
Step-by-step explanation: its 90
Answer:
y=90°
since,70°+(X+X)+(180°-110°)=180°
or,70°+2X+180°-110°=180°
or,2X-40°=0
or,2X=40°
:.X=20°
Also,
X+y+70°=180°
or,y+90°=180°
:.y=90°
*mark me brainliest
PLEASE HELP ASAP, I WILL MARK YOU BRAINBLIEST <3 TYSM
Answers
The answers to each part is mentioned below.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is a straight line problem as shown in the question.
( 1 ) -(a) -
Now, 12 oz of honey will cost $5.4. So, we can write that -
1 ounce of honey will cost - (5.4/12)
Cost of 1 oz honey will be - $(0.45)
(b) -
Now, 12 oz of honey will cost $5.4. So, we can write that -
For $1, you can buy - (12/5.4) oz of honey.
Amount of honey bought in 1 dollar - 2.22 ounces
(c) -
We can write the equation as -
c = 0.45h
(d) -
The graph for this function is attached with the answer.
Therefore, the answers to each part is mentioned above.
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Evan completed his math homework in 23 minutes. It took Troy 2 times as long
to complete his math homework. How long did it take Troy to complete his
homework?
minutes
Answers
Answer:
46
Step-by-step explanation:
You multiply 23×2 and that is how I got my answer.
The length and the breadth of a rectangular room is in 3:2 and its area is 96m². Find the length and breadth of the room. [Ans: 12m, 8m]
Answers
Answer:12m,8m
Step-by-step explanation:BREAADTH
A farmer took 2/3 of the trawberrie that he harveted to a market. At the the market, the farmer old 1/4 of the trawberrie. How can you find what part of the trawberrie the farmer harveted were old at the market?
Answers
There are 5/12 strawberries were left. This can be solved using the concept of fraction addition.
What is fraction?A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.
Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.
Given that,
A farmer took 2/3 of the strawberry that he harvested to a market.
At the market, the farmer sold 1/4th of the strawberry.
Now, the farmer has left no of strawberries were:
= (2/3) - (1/4)
= (8 - 3) / 12
= 5 / 12
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(PLS HELP) (I NEED IT NOW OR I'LL TURN IT IN LATE!!)
Stephan is planning a hiking trip at Kings Canyon National Park. He plans to hike 14 miles every 2 days. If he hikes 42 miles, how many days will he hike?
Answers
Answer:
he will hike approximately 6 days
Which planets have surface features (e.g., mountains, canyons, volcanoes, etc.)?
Answers
Answer:
The answer is Terrestrial planets
In a sale, the normal price of a car has been reduced by 30%. The new price is £6300, what was the normal price
Answers
The normal price of the car is given as follows:
£9000.
How to obtain the normal price of the car?The normal price of the car is obtained applying the proportions in the context of this problem.
In a sale, the normal price of a car has been reduced by 30%. The new price is £6300, meaning that 70% of the price x is equivalent to 6300.
Thus the equation used to obtain the value of x is given as follows:
0.7x = 6300
x = 6300/0.7
x = £9000.
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What are the values of sin cos and tan?
Answers
Step-by-step explanation:
bhshshssf just use some time and fouries and fouries and I don't have a car but who wants the French
HELP PLEASEEEEEEEEEEEEEEEE
Answers
Answer: The answer is $1,317.50
Step-by-step explanation:
First, Find how much they earn in the goods sale.
Make $1,700, their goal to earn, into 1,700/1 and set it to multiply that by 2/5, the fractional amount of money earnt at the goods sale proportional to how much they have to earn.
Simplify that by crossing 1,700 and 5 into a 340 and 1.
Multiply 340/1 by 2/1 to get 680/1.
Make that into a whole number ($680) to show how much money earnt from the goods sale.
Secondly, find how much money they earn by the Bingo Night
Make 1,700, like last time, into 1,700/1 and set it to multiply 3/8, the fractional amount of money earnt from the Bingo Night proportional to how much they have to earn
You can't simplify, so just multiply the amount.
If you multiply, you will get 5,100/8.
Divide 5,100 by 8 (the divisor by the dividend).
Make sure to also add the 0 after the tenths place after you get your quotient, which is supposed to be 637.5 (or $637.50)
Lastly, You have to add them up.
Add $637.50+$680.
You shall get $1,317.50
2x + 2y = -10
What is the slope and y intercept?
Answers
Answer:
Slope: -1; y-intercept: -5
Step-by-step explanation:
Given:
2x + 2y = -10
Question:
What is the slope and y intercept?
Work:
The "template" for the slope of a line is: y = mx + b. "m" is the slope, "x" is a variable, and "y" is the y-intercept.
2x + 2y = -10 (We need to get 2x on the other side so lets subtract 2x on both sides since subtraction is the inverse of addition)2y = -2x - 10 2y = -2x - 10 (We are almost done. Now, all we need to do is get rid of the 2 that is the coefficient of the variable "y" and we are done.)y = -x - 5y = -x - 5 (The y-intercept is -5 and the slope is -1)Answer: Slope = -1; y-intercept = -5Hope this helped! :D