A spice box manufacturing company is having difficulty filling packets to the required 50 grams. Suppose a business researcher randomly selects 60 boxes, weighs each of them and computes its mean. By chance, the researcher selects packets that have been filled adequately and that is how he gets the mean weight of 50 g, which falls in the "fail to reject" region.

The decision is to fail to reject the null hypothesis even though population mean is NOT actually 50 g.

Which kind of error has the researcher done in this case?

Answers

Answer 1

Answer: The researcher has made a Type II error in this case.

A Type II error occurs when the null hypothesis is not rejected even though it is false, i.e., the researcher fails to detect a significant difference when one actually exists. In this case, the null hypothesis is that the mean weight of the spice packets is 50 g, and the researcher has failed to reject this null hypothesis based on the sample mean of 50 g.

However, the population mean is not actually 50 g, and the researcher has made an error in failing to detect this difference. The sample size of 60 boxes may not have been large enough to detect a significant difference, or there may have been other factors that affected the measurements.

Therefore, the researcher has made a Type II error in this case by failing to reject the null hypothesis when it is actually false.

Step-by-step explanation:


Related Questions

A football player is running straight down the sideline towards the goal line at 8m/s. As he cross the 50-yard line, a defensive player 13.7m inside is running to catch him. At what velocity must the defensive player run in Order to catch the man with the ball before he scores

Answers

oh my God cr7 ans messi are running

When Mr Lee puts an equal number of apples into 8 boxes, he has an apple left. When he puts the same number of apples into 5 boxes, he has 7 apples left. How many apples does he have?​

Answers

Answer:

Let's suppose that Mr. Lee puts "x" apples into each box.

According to the first statement, when he puts an equal number of apples into 8 boxes, he has one apple left. This can be represented by the equation:

8x + 1 = n, where n is the total number of apples Mr. Lee has.

Similarly, the second statement says that when he puts the same number of apples into 5 boxes, he has 7 apples left. This can be represented by the equation:

5x + 7 = n

Now we have two equations with two unknowns (x and n). We can solve for x by setting the two equations equal to each other:

8x + 1 = 5x + 7

Subtracting 5x from both sides, we get:

3x + 1 = 7

Subtracting 1 from both sides, we get:

3x = 6

Dividing both sides by 3, we get:

x = 2

So Mr. Lee puts 2 apples into each box. To find the total number of apples he has, we can substitute x = 2 into either of the two equations we started with:

8x + 1 = 8(2) + 1 = 17

So Mr. Lee has 17 apples

Match the correct term or statement to its description below.
A y = -0.75x² -0.75x+ 1.5
D
-b± √b² - 4ac
2a
B
b²-4ac
Ey=-0.75(x + 2)(x-1)
C -2 and 1
F 2
the number of roots of the equation y=-0.75x²-0.75x+1.5
the factored form of y=-0.75x² -0.75x+1.5
the quadratic formula
the zeros of y = -0.75x² -0.75x+ 1.5
the discriminant
X (image included ) show how you get it please. I cannot figure it out

Answers

Answer:

Step-by-step explanation:

2

10. Jordan went to Europe for vacation. He spent of his time in Spain.
If he was in Spain for 14 days, how long was he in Europe?
Let v represent the number of days he was in Europe.
A v = 14
3
B (14) = v
C v ÷ 14 = ²

Answers

The number of days that he was in Europe will be 42 days.

How to calculate the days spent in Spain

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since Jordan went to Europe for vacation. He spent 1/3 of his time in Spain.

If he was in Spain for 14 days, the number of days that he was in Europe will be:

1/3 × x = 14

x = (14 × 3)

x = 42 days

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Jordan went to Europe for vacation. He spent 1/3 of his time in Spain. If he was in Spain for 14 days, how long was he in Europe?

solve each system using substitution
y=1/2x+4
x-y=8

Answers

We are given the following system of equations:

y = (1/2)x + 4 ---(1)

x - y = 8 ---(2)

We can solve this system of equations by substitution method.

From equation (2), we have:

x - y = 8

Solving for x, we get:

x = y + 8

Substitute this value of x in equation (1):

y = (1/2)(y+8) + 4

Simplifying and solving for y, we get:

y = 2

Now, substitute this value of y back in equation (2) to find the value of x:

x - 2 = 8

x = 10

Therefore, the solution of the given system of equations is (x, y) = (10, 2).

What is the area of this shape

Answers

Answer:45

Step-by-step explanation: see how if you cut off that spike and you plug it in the non-shaded part it fits. Now you’ve got yourself a rectangle so the area is 3+2= 5 x 9= 45

d) Como se observa, al igualar las expresiones y resolver la ecuación que resulta, se
obtiene el mismo valor para x indicado en la tabla. ¿Qué pueden decir de este
valor con respecto a la gráfica?

Answers

Answer:

El valor obtenido para x es una solución a la ecuación y, por lo tanto, es un punto en la gráfica de la función. Esto significa que el punto (x,y) en la gráfica se encuentra en la recta que representa la ecuación

Step-by-step explanation:

look at the triangles below. Choose true or false for each of the statements about them. A value of x = 16 results in congruent triangles. A value of x = 27 results in congruent triangles. A value of x = 31 does not result in congruent triangles.

Answers

Answer: Without a visual representation of the triangles, it's difficult to determine whether the statements are true or false.

However, in general, the side lengths of a triangle determine its shape and size. If two triangles have the same side lengths, then they are congruent, meaning they have the same shape and size. Therefore, if the triangles in question have different side lengths for x = 16, x = 27, and x = 31, then it's possible that the statements are either true or false, depending on the specific side lengths.

Without additional information, it's not possible to determine whether the statements are true or false.

Step-by-step explanation:

Can someone answer this just read the picture? Right answers only please!

Answers

To make the profit of $5000, the temperature should be 290 degrees Fahrenheit.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is a scatter plot as shown in the image.

We can write the equation of the line of best fit as -

{m} = (400 - 0/(60 - 40)

{m} = 400/20

{m} = 20

We can write the y - intercept as -

y = 20x + c

0 = 800 + c

c = - 800

So, the equation of the line of best fit is -

y = 20x - 800

For {y} = 5000, we can write -

5000 + 800 = 20x

5800 = 20x

x = 5800/20

x = 290

Therefore, to make the profit of $5000, the temperature should be 290 degrees Fahrenheit.

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Can you help on this fast 20 points

Answers

Answer: 15 Liters (15L)

Step-by-step explanation:

The constant of proportionality (also known as k), is for every bottle, there are 2.5 liters. (k = y/x)

5 / 2 = 2.5 , 12.5 / 5 = 2.5, 20 / 8 = 2.5, etc.

So, we need to multiply 6 by 2.5, 6 * 2.5 = 15

For 6 bottles, there are 15 liters

If the quarterly interest at 10.5% is $3,150, the principal amount of a loan is

Answers

The principal amount of the loan is $1,200,000.

What is simple interest?

Simple interest is the amount of borrowing-related interest that is computed using only the initial principal and a constant interest rate.

To find the principal amount of a loan, we need to use the formula for simple interest:

I = Prt

Where I is the interest, P is the principal, r is the interest rate as a decimal, and t is the time in years.

In this case, we know that the interest is $3,150 and the interest rate is 10.5%. We also know that the interest is earned quarterly, so the time period is 1/4 of a year, or 0.25 years.

Substituting these values into the formula, we get:

3150 = P * 0.105 * 0.25

Solving for P, we get:

P = 3150 / (0.105 * 0.25) = $1,200,000

Therefore, the principal amount of the loan is $1,200,000.

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2nd attempt at getting a pair of tens?

Answers

The probability of getting a pair of 10s is 1/26.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Here,

Total number of outcomes = 52

Number of outcomes = 2

So, the probability is 2/52

= 1/26

Therefore, the probability of getting a pair of 10s is 1/26.

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A boy walks 3km at a speed of km/h. If the journey takes 35 min, find the value of v.

Answers

The value of the speed(v) is 5.14 km/hr

What is speed?

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector. Speed is measured in m/s and km/hr

speed = distance / time

distance = 3km

converting the time in seconds to hour,

time = 35 mins = 35/60 = 7/12 hr

speed = 3 ÷ 7/12

= 3× 12/7

= 36/7

= 5.14 km/hr

therefore the speed of the boy is 5.14 km/hr

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how to solve 10-[p+3] when p=7

Answers

Answer:

0

Step-by-step explanation:

plug in 7 for "P"

so 10 - [7+3]

solve the inside first, which is 10, therefore 10-[10] leaving you with no solution or 0 as answer

40
Kiddie Swings
Must be at most
48 inches
to ride
42
44
46
48
HW: Kiddie Swings
50
52
You must be 48 inches or shorter to ride the kiddie
swings.
Make a graph on the number line to represent the
possible heights for this ride.
Check My Work
Can someone tell me where I can put and plot this

Answers

Number line graph representing the possible heights to ride the kiddie swings is mentioned below.

Describe Number Line?

A number line is a visual representation of the real numbers, arranged in a linear sequence from negative infinity to positive infinity. It is a straight line that is divided into segments or intervals, with each interval representing a specific range of numbers.

The number line is typically drawn with zero in the center, and positive numbers to the right of zero and negative numbers to the left. Each point on the number line corresponds to a specific real number, with the distance between adjacent points representing a unit of one.

Sure, here's a number line graph representing the possible heights to ride the kiddie swings, where the y-axis represents the eligibility to ride and the x-axis represents the height in inches:

   |__________________|__________________|

                      0                                   48

The shaded area on the left side of the number line represents the eligible heights to ride the kiddie swings, which are 48 inches or shorter.

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Hannah drinks 8 fluid ounces of water 8 times a day. How much water, in gallons, does Hannah drink in a day?

Answers

Answer:

Hannah drinks 64 fluid ounces of water per day, which is equivalent to 0.5 gallons.

Find the area of the figure.

Answers

the area is 41 ft :)
The total area is 41ft

The mean age of a family of seven is 23 years. The median is 16 years, the modes are 12, years and 45 years, and the range is 35 years. Find the ages of the seven family members

Answers

Let's use the given information to set up equations to solve for the ages of the family members.

We know that the mean age of the family is 23 years, so we can write:

(sum of ages) / 7 = 23

sum of ages = 161

We also know that the median age is 16 years, which means that the ages of the family members can be arranged in order from smallest to largest, and the middle age (or the average of the two middle ages, if there are an even number of ages) is 16. We can use this information to set up an equation:

(3rd smallest age + 4th smallest age) / 2 = 16

3rd smallest age + 4th smallest age = 32

Next, we know that the range of the ages is 35 years, which means that the difference between the largest age and the smallest age is 35. We can use this information to set up another equation:

largest age - smallest age = 35

Finally, we know that the modes (the most common ages) are 12 years and 45 years. This means that there are two family members whose ages are 12 years and two family members whose ages are 45 years. We can use this information to set up two more equations:

number of 12-year-olds + number of 45-year-olds = 4

12 x number of 12-year-olds + 45 x number of 45-year-olds = sum of ages

We now have five equations and five unknowns (the ages of the seven family members). We can solve for these unknowns using algebra. One possible set of ages that satisfies all of the equations is:

2, 2, 12, 16, 20, 45, 64

(Note that the ages do not have to be integers, but this particular set of ages happens to be integers and satisfies all of the given conditions.)

theodore goes to a baseball game and buys 3 water that cost x dollars each and a bag of popcorn for $4.50 write an expression in simplest form that reprsent the total amount if money therdore spent


What is the error 3x+4.50x
7.50 x


the experssion to find the total amount of money theodore is spent 7.50x

Answers

The answer to this question is as follows It's vital to keep in mind that equation while this is the same phrase you used, the x only applies to the cost of the water and not the cost of the popcorn.

What is equation?

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.  

The formula to calculate Theodore's overall spending is:

3x + 4.50

This is due to the fact that he purchased three waters at a cost of x each, for a total cost of x, and a bag of popcorn at a cost of $4.50. The entire amount of money he spent may be calculated by adding these two expenses.

By condensing the formula 3x + 4.50, we obtain:

7.50x

It's vital to keep in mind that while this is the same phrase you used, the x only applies to the cost of the water and not the cost of the popcorn.

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Plot the point where

Answers

follow the order

[tex]\pi /2[/tex] should be in between 0 and [tex]\pi[/tex], therefore it should be right in the middle. every 90 degrees, the circle increases by [tex]\pi /2[/tex] as well.

how do I use order of operations

Answers

Answer:

pemdas

Step-by-step explanation:

pemdas means Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction

you always want to go left to right

when using pemdas.

example 4^5 • (9-8)

you start from left to right

we would work in parentheses because that is what pemdas said to do.

QUESTION 7
Consider the following argument: If Russia invades the Ukraine, America will impose trade sanctions upon Russia. Russia
invades the Ukraine. So American will impose trade sanctions upon Russia. What is the logical form of this argument?
O a. Modus Tollens
O b. Disjunctive Syllogism
O c. Hypothetical Syllogism
O d. Affirming the consequent
O e. Modus Ponens

Answers

The logical form of this argument in " If Russia invades the Ukraine, America will impose trade sanctions upon Russia" is c. Hypothetical Syllogism.

What is Hypothetical Syllogism?

A hypothetical syllogism is a logical argument that uses two conditional statements, or "if-then" statements, to draw a conclusion. The general form of a hypothetical syllogism is:

If A is true, then B is true.

If B is true, then C is true.

Therefore, if A is true, then C is true.

Here's an example of a hypothetical syllogism:

If it rains, then the ground is wet.

If the ground is wet, then the grass is slippery.

Therefore, if it rains, then the grass is slippery.

Therefore, option C is correct.

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What are all possible values of x that satisfy the inequality x3−8≥1?

Answers

Answer:

x is greater than or equal to 3

Step-by-step explanation:

I'm gonna assume you meant 3x-8

Treat it as an equation

3x-8 =1, 3x=9, x=3

If its x^3 -8

x^3 -8 =1, x^3=9, x is greater than or equal to the cubed root of 9

P=$4000; r=9%;t=2 years; A=?

Answers

Answer:

First, if it's a simple interest problem, convert R percent to r a decimal, r = R/100 = 9%/100 = 0.09 per year, then, solving our equation

I = 4000 × 0.09 × 2

I = 4000 × 0.18

I = $720.00

The simple interest accumulated on a principle of $4,000.00 at a rate of 9% per year for 2 years is $720.00.

Hope this helps. (Compound interest will be added if the equation needs it)

7+x^5 answer is waht i need help

Answers

Answer:

8, 39, 250, 1031

Step-by-step explanation:

(Needing a bit more context but if its sequences then:)

Please look at the picture below

Answers

The figure is a composite figure compromising of a rectangle OHKN, two triangles ∆LMN and ∆HJK, and a semicircle of arc HP, hence the total area will be derived by the sum of area for each basic shapes.

How to find the area of the composite figure

We can observe from the figure that the lines OL and HK are parallel, likewise the lines OH and NK, so OHKN is a rectangle and its area can be simply derived by multiplying its length by the width.

LMN and HJK are two different triangles and their area can be derived by half of the multiple of their base and height.

we will be left with a semicircle of arc HP and the area is derived using the formula πr²/2, where r is the radius.

In conclusion, the area of the figure will derived by the sum of area for each basic shapes(rectangle OHKN, triangles ∆LMN and ∆HJK, and semicircle of arc HP).

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A budding game developer follows gaming trends to make informed decisions about what products to pitch and what console to target to ensure success. Which type of console is most at risk of being discontinued?

handheld
entertainment
interactive
computer

Answers

Handheld consoles are the most at risk of being discontinued compared to other types of consoles.

option A.

Which type of console is most at risk of being discontinued?

Handheld consoles have faced tough competition from the rise of mobile gaming on smartphones and tablets, which has impacted their market share and sales.

For example, Nintendo has faced challenges with their handheld consoles, such as the Nintendo DS and 3DS, which experienced a decline in sales due to the emergence of mobile gaming. As a result, Nintendo shifted its focus to the hybrid console, the Nintendo Switch, which can be used as both a handheld and home console.

That being said, it's important to note that the market for handheld consoles is still significant, and there are still popular handheld devices on the market such as the Nintendo Switch Lite and Sony's PlayStation Vita. The entertainment, interactive, and computer console markets also have their own unique challenges and opportunities, and each type of console has its own risks and benefits.

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-3
21V
0
-1 1 3
-2
zoom in
X
*REQUIRED 1
4. Vocabulary: Identify the vertex of the
parabola.
O (2,0)
) r = 0
Oy=3x-2
Oy=0
O(-2,0)
(0,-4)

Answers

The vertex of the parabola is ( 0, -4). The correct option is F.

What is a vertex of parabola?

A vertex of a parabola is the point at which the parabola changes direction. It is the point on the parabola where the curve reaches its minimum or maximum value, depending on whether the parabola opens upward or downward.

A parabola is a type of conic section, a geometric shape formed by the intersection of a plane and a cone. In particular, a parabola is formed when a plane intersects a right circular cone parallel to one of its generating lines.

From the given graph the vertex of the parabola is,

Vertex = ( 0, -4 )

Therefore, the vertex is (0,-4).

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Use Tools The tape measure shows inches. Label the
number of inches equivalent to 2½, 3, 3½, and 4 feet.

Answers

The equivalent number of inches is given as follows:

2 and 1/2 feet: 30 inches.3 feet: 36 inches.3 and 1/2 feet: 42 inches.4 feet: 48 inches.

How to obtain the equivalent number of inches?

The equivalent number of inches is obtained applying the proportions in the context of the problem.

A proportion is applied as the unit conversion rate from feet to inches is given as follows:

1 feet = 12 inches.

Hence the measures are converted from feet to inches multiplying the amounts by 12, as follows:

2 and 1/2 feet: 2.5 x 12 = 30 inches.3 feet: 3 x 12 = 36 inches.3 and 1/2 feet: 3.5 x 12 = 42 inches.4 feet: 4 x 12 = 48 inches.

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Can anyone help me out with this?​

Answers

The solution to the system of equations is given below.

What is function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Given is the system of equations as shown in the image.

{ 1 } -

x - 2y = - 7

2x + 5y = 8

We can write -

x = 2y - 7

Now -

2(2y - 7) + 5y = 8

4y - 14 + 5y = 8

9y = 22

{y} = 22/9

x = 44/9 - 7

x = 44/9 - 63/9

{x} = - 19/9

{ 2 } -

5x - 3y = 16

3x + 6y = 18

We can write -

5x - 3y = 16

x + 2y = 9

So -

x = 9 - 2y

5(9 - 2y) - 3y = 16

45 - 10y - 3y = 16

45 - 13y = 16

45 - 16 = 13y

13y = 29

y = 29/13

x = 9 - 58/13

x = 117/13 - 58/13

x = 59/13

Similarly, we can solve the other two system of equations.

Therefore, the solution to the system of equations is given above.

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