IQ: Scores on a certain IQ test are known to have a mean of 100. A random sample of 60 students attend a series of coaching classes before taking the test. Let μ be the population mean IQ score that would occur if every student took the coaching classes. The classes are successful if μ > 100. A test is made of the hypotheses H0: μ = 100 versus H1: μ > 100. Consider three possible conclusions: (i) The classes are successful. (ii) The classes are not successful. (iii) The classes might not be successful.
a. Which of the three conclusions is best if H0 is rejected?
b. Which of the three conclusions is best if H0 is not rejected?
c. Assume that the classes are successful but the conclusion is reached that the classes might not be successful. Which type of error is this?
d. Assume that the classes are not successful. Is it possible to make a Type I error? Explain.
e. Assume that the classes are not successful. Is it possible to make a Type II error? Explain.

Answers

Answer 1

Answer:

a.) The classes are successful

b.) The classes might not be successful.

c.) Type 11 error

d.) Yes

E.) No

Step-by-step explanation:

C.)

This means that we failed to reject H0 when it is actually FALSE and in fact the classes are successful , that means mean μ > 100, that is: null hypothesis is False.

D.)

Type 1 error occurs when we incorrectly reject H0 ; that is we rejected H0, when it is true

Here, H0, means the classes aren't successful, hence, incorrectly rejecting H0 means we have committed a type 1 error

E.)

Type 11 error means failing to reject H0

;

Here, H0, means the classes aren't successful,

Hence, if we fail to reject H0 in this scenario, we are right, hence, there is no possibility of making a type 11 error in this scenario


Related Questions

A surveyor has a survey a triangular plot of land. One side of the plot lies along countryside road. This side is 400 ft long. The second side is the gore road, which intersects countryside road at an angle of 88 degrees. The third side of this plot of land is 550 ft long. Determine the distance of the gore road that makes up in the unknown side of plot to the nearest foot

Answers

9514 1404 393

Answer:

  392 ft

Step-by-step explanation:

As in the attached figure, you seem to have sides b and c of the triangle, along with angle C. You want to find side 'a'. The law of sines can be used to find angle B, then angle A can be found from the sum of angles. Knowing angle A, we can find side 'a'.

  sin(B)/b = sin(C)/c

  sin(B) = (b/c)sin(C) = 400/550·sin(88°)

  B = arcsin(8/11·sin(88°)) ≈ 46.621°

Then angle A = ...

  A = 180° - B - C = 180° -46.621° -88° = 45.379°

Now, we can find side 'a' from ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) ≈ 550·sin(45.379°)/sin(88°) ≈ 391.710 . . . feet

The unknown side of the triangle is about 392 feet.

Of the 600 people at a music festival, 420 had attended the previous year. how many people out of 100 had attended the previous year?
A 42
B 60
C 80
D 70

Answers

Answer is D. Hope I helped have a good day

A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many solutions, which statement must be true?

A
The lines are parallel.
B
The lines intersect in one point.
C
The lines are the same.
D
None of the above

Answers

Answer:

c

Step-by-step explanation:

Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

So C would be the most accurate statement

please give brainiest

Which set of numbers does NOT represent the lengths of the sides of a triangle? (6, 18, 23) (6, 22, 17) (16, 24, 7) (22, 8, 15​

Answers

Answer:

(16, 24, 7)

Step-by-step explanation:

The Triangle Inequality states that the sum of lengths of any two sides should be greater than the length of the third side.

But 16 + 7 = 23 is not greater than 24.

Select all the ordered pairs that are solutions of the equation.
A. (-7, 1)
B. (-1,7)
C. (0,5)
D. (2,3)
E. (3, 2)
F. (5,0)

Answers

Answer:

B. (-1,7)

C. (0,5)

D. (2,3)

Step-by-step explanation:

We solve this question looking at the graphic.

A. (-7, 1)

When [tex]x = -7, y \rightarrow \infty[/tex], and thus (7,-1) is not solution of the equation.

B. (-1,7)

When [tex]x = -1, y = 7[/tex], and thus (-1,7) is a solution of the equation.

C. (0,5)

When [tex]x = 0, y = 5[/tex], and thus (0,5) is a solution of the equation.

D. (2,3)

When [tex]x = 2, y = 3[/tex], and thus (2,3) is a solution of the equation.

E. (3, 2)

When [tex]x = 3, y \neq 2[/tex], and thus (3,2) is not part of the solution

F. (5,0)

When [tex]x = 5, y \neq 0[/tex], and thus (5,0) is not part of the solution

Question 1 (1 point)
John started with $1,000 in an investment account. Each year the money in the account doubled. If there is currently $16,000 in the
investment account, how many years have passed since the account was opened?
years

Answers

Answer:

4 yrs have passed since the account was opened

4 years has passed since the account has been opened:)

I need help with alot of assignments.​

Answers

Answer:

71

Step-by-step explanation:

if you add 15+15+11+11+19 you will be getting 71


What is the solution set to the equation
15 – 4x = x2 - 6x ? Show your work algebraically.

Answers

Answer:

The solution of given expression = 5 , -3

Step-by-step explanation:

Given expression;

15 - 4x = x² - 6x

Find:

The solution of given expression

Computation:

15 - 4x = x² - 6x

x² - 6x + 4x - 15 = 0

x² - 2x - 15 = 0

x² - (5 - 3)x - 15 = 0

x² - 5x + 3x - 15 = 0

x(x - 5) + 3(x - 5) = 0

(x - 5)(x + 3) = 0

So,

x - 5 = 0 and x + 3 = 0

x = 5 and x = -3

The solution of given expression = 5 , -3

The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.30 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters:
1.361.351.331.661.581.321.381.421.901.54
At the 0.050 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.
A.) State the null hypothesis and the alternate hypothesis.
H0: μ ≤ _____
H1: μ >_____
B.) State the decision rule for 0.050 significance level. (round to 3 decimal places)
C.) Compute the value of the test statistic. (round to 3 decimal places)
D.) At the 0.050 level, can we conclude that water consumption has increased?
E.) Estimate the p-value.

Answers

Answer:

H0: μ ≤ 1.30

H1: μ > 1.30

|Test statistic | > 1.833 ; Reject H0

Test statistic = 3.11

Yes

Pvalue = 0.006

Step-by-step explanation:

H0: μ ≤ 1.30

H1: μ > 1.30

Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54

Xbar = 14.84 / 10 = 1.484

Standard deviation, s = 0.187 (calculator)

Decison rule :

|Test statistic | > TCritical ; reject H0

df = n - 1 = 10 - 1 = 9

Tcritical(0.05; 9) = 1.833

|Test statistic | > 1.833 ; Reject H0

Test statistic :

(xbar - μ) ÷ (s/√(n))

(1.484 - 1.30) ÷ (0.187/√(10))

0.184 / 0.0591345

Test statistic = 3.11

Since ;

|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased

Pvalue estimate using the Pvalue calculator :

Pvalue = 0.006

Use slope or the distance formula to determine the most precise name for the figure:
A(-4,-1), B(-2,4), C(4, 5), D(2,0).

Answers

Answer:

parallelogram

Step-by-step explanation:

opposite sides are parallel and equal

The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers.
Assuming the rope makes a perfect circle, what is the length of this rope?
Give your answer in terms of pi.

Answers

Rope circle earth 6371 kilometers

which pair of words describes this system of equations 3y=9x-6 2y+6x=4

Answers

Answer:

Consistent and dependent

Step-by-step explanation:

Given

[tex]3y = 9x - 6[/tex]

[tex]2y + 6x = 4[/tex]

Required

The words that describe the equations

Make y the subject in (2)

[tex]2y + 6x = 4[/tex]

Collect like terms

[tex]2y = 4 - 6x[/tex]

Divide through by 2

[tex]y = 2 - 3x[/tex]

Substitute: [tex]y = 2 - 3x[/tex] in (1)

[tex]3y = 9x - 6[/tex]

[tex]3(2 - 3x) = 9x - 6[/tex]

[tex]6 - 9x = 9x - 6[/tex]

Collect like terms

[tex]9x+9x = 6+6[/tex]

[tex]18x = 12[/tex]

Solve for x

[tex]x = \frac{12}{18}[/tex]

Simplify

[tex]x = \frac{2}{3}[/tex]

Substitute [tex]x = \frac{2}{3}[/tex] in [tex]y = 2 - 3x[/tex]

[tex]y = 2 - 3*\frac{2}{3}[/tex]

[tex]y = 2 - 2[/tex]

[tex]y =0[/tex]

So, we have:

[tex]x = \frac{2}{3}[/tex] and [tex]y =0[/tex]

The system is consistent because it has at least 1 solution

The system is dependent because it has more than 1 solution

Dan is helping to build a stage for a concert.
4 m
3 m
3 m
3.5 m
12 m
He needs to order some non-slip flooring for the stage.
Calculate the area of the stage.

Answers

I’d need more than numbers , maybe a shape that identifies because your shape is not a parallelogram

Answer: 37m

Step-by-step explanation:

Convert 300cm into m = 3m

6 + 6 + 3 + 3 + 3.5 + 3.5 + 12 = 37m

1. You borrow $500 from a bank with a 5% annual interest and
the maturity date is in 3 years
a. How much would you pay in interest at the end of the
loan if you pay simple interest
b. How much would you pay in interest at the end of the
loan if you pay in compound interest

Answers

Answer:

Step-by-step explanation:

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

Determine the angles θ where sin(θ)=12

A)30o and 120o
B)60o and 120o
C)30o and 150o
D)60o and 150o

Answers

The answerr is lettter C

Ulyssa draws a rectangle
that is 2/3 of a meter
long and 3/5 of a meter
wide. What is the area
of this rectangle?

Answers

Answer:

15m

Step-by-step explanation:

Write the phrase as a numerical expression.
3.
5 more than 8
4. 8 less than 2 times a number

Answers

3. 8+5

4. 2x - 8

Step-by-step explanation:

3. for example : 5 more than the number means

x+5 so that's how we get the answer as 8+5

4. This can be explained in two folds firstly, for example: 2 less than the number means x-2.

secondly;7 times the number means 7x so therefore we get our final answer as 2x - 8

What is the following product?

Answers

Your correct it’s the first one

Solve for x. -2.7x + 0.4 =2.8 -1.2x​

Answers

x=-1.6

Hope this Helped! :T

The answer is X= -1.6

What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)

Answers

Answer:

Last Option; 84 cu. mm

Step-by-step explanation:

We know that;

Volume = 1/3(Bh)

And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36

And height = 7mm

Therefore we can say;

Volume = (1/3)*(6 x 6)*(7)

Volume = (1/3)*(36)*(7)

Volume = (12)*(7)

Volume = 84

Hope this helps!

Whoever gets the answer first and its correct gets brainlist!

Answers

Answer:

No because the graph is not a straight line

Step-by-step explanation:

Since the slope isn’t constant, the graph is not linear

What expressions are equivalent to 2.097 help

Answers

Answer:

ur question is not complete.

Grade 9 transformation graph

Answers

Answer:

1) D

2) C

3) A

4) B

Step-by-step explanation:

Ok, we need to try each function in the point x = 0 and then analyze the limit as x goes to really large values.

1) g(x) = -3^x

When x = 0, we have:

g(0) = -3^0 = -1

Then we know that the graph of this function will be either A or D.

Now, as x goes to really large values, 3^x will eventually approximate to infinity.

Then - 3^x will approximate to negative infinnity.

From that, we can conclude that the graph for this function is the one that goes to negative infinite as x increases. That is graph D.

2) h(x) = (1/3)^(-x) = 3^x

This is the exact opposite of the previous function. So we need to find the graph that is an exact reflection across the x-axis of graph D, and that one is the graph C.

then the graph if this function is C.

3) k(x) = - (1/3)^x = -1/(3^x)

When x = 0

k(0) = -(1/3)^0 = -1

We have two options with a y-intersect at y = -1  (graph A and D) and in this case, we can see that the part that grows fast is in the denominator, then as x increases, the denominator increases, and thus the function will tend to zero, then the graph of this function is graph A.

4) g(x) =  3^(-x) = 1/(3^x)

g(0) = 1/(3^0) = 1/1 = 1

And same as before, as x increases, g(x) tends to zero.

Then the remaining graph (B) is the graph of this function.

Why is it important for a company to create an income statement?

Answers

An income statement is important because it offers a recent picture of the company's revenues and expenses and overall profitability. Managers and investors can use this information to make financial decisions.

Urgent math question, 10 points for a solve.

Answers

Answer:

cot (X) = 5/12

Step-by-step explanation:

tan (X) = opp/adj so cot (X) is adj/opp

find the measure of the angle indicated
1. 73
2. 57
3. 84
4. 83

Answers

Answer:

2 . 57

Step-by-step explanation:

sorry if I'm wrong I'm not the Brady at math just trying

WILL GIVE BRAINLIST

FOR FIND THE MODE OR MODES MATH





X

X
X

X

Answers

Answer:

24

Step-by-step explanation:

mode is the number that occurs the most and 24 is there 3 times so 24 is the mode

20,24,24,24,46,49,49


There are 30 students in a class and 18 of them own at least one pet.
What fraction of the class own pets?
Give your answer in its simplest form.

Answers

Answer:

18/30=3/5

Step-by-step explanation:

5,2,4 does this make a triangle

Answers

Answer:

Yes

Step-by-step explanation:

Two numbers have to be greater than the other one or it does not make a triangle.

5+2>4, 7>4 true

5+4>2, 9>2 true

4+2>5, 6>5 true

If this helps please mark as brainliest

Yes because 5 and 4 are greater than 2.
a2 +b2 = c2
2^2 + 4^2 = 5^2
4 + 16 =25

Pythagorean theorem proves that those side lengths create a triangle as well.

Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.

Answers

Answer:

Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°

Hope this helps!

Other Questions
The following transactions occurred during July:a. Received $1,090 cash for services provided to a customer during July. b. Issued common stock for $5,800 cash. c. Received $940 from a customer in partial payment of his account receivable which arose from sales in June. d. Provided services to a customer on credit, $565. e. Borrowed $7,900 from the bank by signing a promissory note. f. Received $1,440 cash from a customer for services to be performed next year.Required:What was the amount of revenue for July? All deserts are dry. Dryness is part of their definition. But while all deserts may be dry, they are not all equally dry. The driest desert on earth is the Atacama desert in Chile. The Atacama desert gets an average of less than .01 centimeters (.004 inches) of rain every year. Sometimes years will go by between rain storms. In fact, there are some places in the Atacama desert where it has not rained for over 400 years Broooooo plz can someone help meeeeeee Imagine that you have a new product that you need to tell potential clients about. Figure out the product and what is new and different about it. For instance, if it is a car, is it a good buy because of its environmental features or because it is a sleek new sports model? If its a kind of cereal, is it a new flavor or does it stay crunchy in milk longer than most?Once you have decided what information you want to share about your product, create a jingle for it. These are usually brief and have a lot of the characteristics of poetry, like rhyming and alliteration (repeating the same first letter: Silly Sallys Slushy Smoothies), etc. You can do a quick Internet search on poetic techniques for ideas. You should not have more than four to six lines since jingles are short. Be sure that the jingle emphasizes (shows) the elements of your product that you want to highlight.Plzzzzz The scatterplot below represents the number of hot drinks sold on a givenday versus the low temperature of that day. Of the following lines, whichbest fits the data in the scatterplot? how many times bigger is 9x10^7 than 3x10^-2 Cul es el tiempo empleado por un mvil que se desplaza a 45 km/h para recorrer 10700 m I dont really get it help the area of a square is 225cm. On the map drawn to scale 1 : 3 find the area of the square What kind of variable will be created by a line of code that reads num1 = int(input("Please enter your favorite number.")) ? Group of answer choices a string a float an integer a generic Ms Jo Jo rubbed two balloons with a piece of wool. What will happen when the balloons are brought near each other? Madison used 4 pears and 12 apples to make a fruit salad. What is the ratio of thenumber of pears to the number of apples in the fruit salad? (Simplify your answer) for graph f what is f(0)? What is the midpoint between the two points (2,0) & (6,-2) * Which of the following processes involves the endocrine system and digestive system working together?A. Oxygen is carried to blood cells as food is digested in the stomach.B. Hormones stimulate the pancreas to release enzymes needed to break down food.C. The brain sends signals to the muscles to chew food.D. When the hand touches hot food, it is quickly moved away Find the value of (6^0 7^0) (6^0 + 7^0) All of the following economic activities have helped improve the economy of Georgia since it became an independentcountry excepta. machinery manufacturing.c. computer technology.b. agriculture.d. petroleum extraction. What statement best supports the box plots 3. Yo (trabaj, trabajaba) todos los martes del verano pasado.4. La chica estaba bailando en la fiesta cuando de repente una persona(toqu, tocaba) la puerta. What was the concentration of the drug 4 hour(s) after injection? simplify. please do it now i need help