Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of new words (words not used in the poet's other works). The standard deviation of the number of new words is . Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.
H0 : µ = 8.88 vs Ha : µ > 8.88
Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)
Use 2 decimal places for the z-score and 4 for the p-value.
a. What is z ?
b. The p-value is greater than ?
c. What is the conclusion?
a)The sonnets were written by another poet
b) There is not enough evidence to reject the null.

Answers

Answer 1

Complete question is;

Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of 8.88 new words (words not used in the poet's other works). The standard deviation of the number of new words is 3. Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of 12.4 words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.

H0 : µ = 8.88 vs Ha : µ > 8.88

Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)

Use 2 decimal places for the z-score and 4 for the p-value.

a.What is z ?

b.The p-value is greater than ?

c. What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.

Answer:

a) z = 2.87

b) P-value ≈ 0.0021

c) The sonnets were written by another poet

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0 : µ = 8.88

Alternative hypothesis; Ha : µ > 8.88

We are also given;

Sample size; n = 6

Population Standard deviation; σ = 3

Sample mean; x¯ = 12.4

a) formula for z - value is;

z = (x¯ - µ)/(σ/√n)

z = (12.4 - 8.88)/(3/√6)

z = 2.87

b) we are given the significance value as α = 0.05.

From online p-value from z-score calculator attached and using z = 2.87; one tail distribution; α = 0.05, we have;

P-value = 0.002052

Approximating to 4 decimal places;

P-value ≈ 0.0021

c) The p-value is less than the significance level, thus we react the null hypothesis and conclude that the sonnets were written by another poet

Statistics Can Help Decide The Authorship Of Literary Works. Sonnets By A Certain Elizabethan Poet Are

Related Questions

What is the reciprocal of 8 5/6​

Answers

Answer:

6/53

Step-by-step explanation:

I think the Awnser is 6/53 I’m not sure

Al cuadrado de un número se lo aumenta en 7 unidades y se obtiene el número 56.
¿Cuál es dicho número?

Answers

Answer:

Hola, me no Espanol.

Step-by-step explanation:

If 4321 - 4322 = 10
Then what's 3321 - 3322 = ?

Answers

Answer:

10 sorry if i'm wrong

Step-by-step explanation:

The Jimenez family is bringing 12 packages of hamburger and hotdog buns to the neighborhood picnic. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. They spent $20 for the buns. Create and solve a system of equations that can be used to find the number of packages of each type of bun purchased.

Answers

Answer:

The system of equations is x + y = 12 and 2x + 1.5y = 20

The number of packages of the hamburger is 4

The number of packages of the hotdog is 8

Step-by-step explanation:

Assume that they bringing x packages of hamburger y packages of hotdog

∵ x represents the number of packages of hamburger

∵ y represents the number of packages of hotdog

∵ Jimenez family is bringing 12 packages of hamburger and hotdog buns

x + y = 12 ⇒ (1)

∵ The hamburger buns cost $2.00 per package

∵ The hot-dog buns cost $1.50 per package

∵ They spent $20 on the buns

2x + 1.5y = 20 ⇒ (2)

The system of equations is x + y = 12 and 2x + 1.5y = 20

Let us solve it to find x and y

→ Multiply equation (1) by -1.5 to make the coefficients of y equal in

   values and different in signs to eliminate it

∵ -1.5(x) + -1.5(y) = -1.5(12)

-1.5x - 1.5y = -18 ⇒ (3)

→ Add equations (2) and (3)

∵ (2x + -1.5) + (1.5y + -1.5y) = (20 + -18)

∴ 0.5x = 2

→ Divide both sides by 0.5 to find x

x = 4

→ Substitute the value of x in equation (1) or (2) to find y

∵ 4 + y = 12

→ Subtract 4 from both sides

∴ 4 - 4 + y = 12 - 4

y = 8

The number of packages of the hamburger is 4

The number of packages of the hotdog is 8

Find m angle KLJ
Answer choices:
22.5 degrees
75 degrees
15 degrees
73 degrees

Answers

B.) 22.5 degrees I think is the correct answer.

Plz help me with this

Answers

hi!

so you're trying to find the value of n, I assume.

(n +2) / 5 = -3

n + 2 = -3 * 5

n + 2 = -15

n = -17

hope this helped!

N= -17
This is the right answer

I need help with this question.

Answers

Answer: W=V/lh

Step-by-step explanation:

You know that the formula to find the volume is length * width* height.

So l*w*h=V

divide lh on both sides, and you get

W=V/lh, The top right answer

Birth weights at a local hospital have a Normal distribution, with a mean of 110 oz and a standard deviation of 15 oz. The proportion of infants with birth weights below 125 oz is:

A. .500

B. .159

C. .341

D. .841

Answers

Answer:

125 is 1 dev above, so it's  13.5 + 2.35,so it's B. 0.159And i think the proportion of infants with birthweights between 125 oz and 140 oz is :D. 0.136

Trina was playing with her new puppy last night. She began to
think about what she had read in a book about dogs. It said that
for every year a dog lives it actually is the same as 7 human
years. She looked at her 4-1/2 month-old puppy and wondered
how many human years old her puppy was?
Using as much math language and good reasoning as you can,
figure out how many human years old Trinajs puppy is?

Answers

Answeep-by-step explanation:

he was 76

jk i am stupid and this is nit the right i just wanted to know how t felt to help someone

I think it’s is 30yrs


What is the value of 15/2+I?

Answers

Answer:

First, make the denominators

15/2+2/2

Then, add

17/2

If you want it in decimal points

8.5

Step-by-step explanation:

I hope I explained well, please give me brainliest

First divide 15/2= 7.5 and then add 7.5 with the 1 = 8.5
If you want a fraction just remove the point like this
85 and divide by 10
85= 17/2.
10
Hope that helps :D

Work out the product of 3 1/3 and 2 1/6
Give your answer as a mixed number.​

Answers

Answer:

as a mized number.

Step-by-step explanation:

The product of the numbers [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex] will be [tex]7 \frac{2}{9}[/tex].

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

The fractions are,

⇒ [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex]

Now,

Solve the product of fractions as;

⇒ [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex]

⇒ [tex]3 \frac{1}{3}[/tex] × [tex]2 \frac{1}{6}[/tex]

⇒  10/3 x 13/6

⇒ 65/9

⇒  [tex]7 \frac{2}{9}[/tex].

Thus, The product of the numbers [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex] will be [tex]7 \frac{2}{9}[/tex].

Learn more about the fraction visit:

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Solve each equation,
1) –150 =-267p+5)
2) –8\m + 10)=-128

Answers

1) p=155/267
2) m=4/69

Pz Answer for Brainliest

Answers

Answer:

thank you for free point and have a nice day

Answer:

Where is the question

Step-by-step explanation:

The hours a week people spend answering and sending emails is normally distributed with a standard deviation of Ï = 150 minutes. How large of a sample size would you need to estimate the mean number of minutes people spend answering and sending emails with an error of 1 minutes with 99% confidence? What would be the practical problem with attempting to find this confidence interval?

Answers

Answer:

sample size n would be 149305 large

Value of n (149305) is too high, this will be the practical problem with attempting to find this confidence interval

Step-by-step explanation:

Given that;

standard deviation α = 150 min

confidence interval = 99%

since; p( -2.576 < z < 2.576) = 0.99

so z-value for 99% CI is 2.576

E = 1 minutes

Therefore

n = [(z × α) / E ]²

so we substitute

n = [(2.576 × 150) / 1 ]²

n = [ 386.4 ]²

n = 149304.96 ≈ 149305

Therefore sample size would be 149305 large

Value of n is too high, that would be the practical problem with attempting to find this confidence interval

consider the function f(x) for which f(e)=7 and f'(e)=6 find h'(e) for the function h(x)=f(x)^x

h'(e)=

Answers

Answer:

[tex]h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e][/tex]

Step-by-step explanation:

Let [tex]h(x) = f(x)^{x}[/tex], the first derivative of the function is found by applying the concept of implicit differentiation:

[tex]h(x) = f(x)^{x}[/tex] (1)

[tex]\ln h(x) = x\cdot \ln f(x)[/tex]

[tex]\frac{h'(x)}{h(x)}=\ln f(x) +\frac{x\cdot f'(x)}{f(x)}[/tex]

[tex]h'(x) = h(x) \cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right][/tex]

[tex]h'(x) = f(x)^{x}\cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right][/tex]

[tex]h'(x) = f(x)^{x-1}\cdot [f(x)\cdot \ln f(x)+x\cdot f'(x)][/tex] (2)

If we know that [tex]x = e[/tex],  [tex]f(e) = 7[/tex] and [tex]f'(e) = 6[/tex], then [tex]h'(e)[/tex] is:

[tex]h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e][/tex]

Can you help me please and thank you

Answers

Answer:

I believe the answers in the blank should be 4

Step-by-step explanation:

Answer:

= (4 x 5) + (4 x 2)

Step-by-step explanation:

remember to multiply first, before doing the addition. in this case, multiply 4 by 5, then 4 by 2 to get your answer using distributive property. i always remember the distributive process because if you take off a few letters, it makes distribute. you basically distribute 4, you give each number (5 and 2) a 4 and multiply them. hope this made sense lol

twice the square of a number

Answers

Answer:

2 * x^2

Step-by-step explanation:

in word form: two times the square of x

"a number" can be any variable; i used x

Answer:

x² × 2

Step-by-step explanation:

Notice vocabulary:

twice → multiplication by a factor of two → ×2a number → unknown number; variable → xthe square → raised to the power of two →

Put this information together.

"Twice the square of a number"

Since it says of a number, this number comes first → [tex]x[/tex]

"Twice the square of a number"

The square of a number means that the variable will be squared → [tex]x^2[/tex]

"Twice the square of a number"

Multiply the variable by a factor of two → [tex]x^2*2[/tex]

:Done

2(x+7)=-4x+14

Solve this for 15 points.

Answers

First, use the distribution property on the left side.
2x + 14 = 4x + 14
Then, isolate both sides so that like terms are on either sides. Subtract 2x from both sides to move x to the right side and subtract 14 from both sides to move the numbers to the left side.
0 = 2x
Lastly, divide by 2 on both sides to find x.
0 = x

If c, m, and n are integers, which of the following are NOT possible values of m and n for the equation below? (Equation in pic)

A. M=2, n=2
B. M=-1, n=5
C. M=-2, n=-2
D. M=1, n=3

Answers

Answer: C. m = -2; n = -2

have:

x² + 4x + c = (x + m)(x + n)

⇔ x² + 4x + c = x² + (m + n)x + mn

⇒ m + n = 4

    mn = c

=>  M=-2, n=-2 arent possible

Step-by-step explanation:

The slope of the line is ?

Answers

Answer:

slope= 4,

Step-by-step explanation:

y = 4x-6

Sarah graphed the function. y =-1/2x+4 if the domain is restricted to this on the photo what’s the answer I pick

Answers

Answer:

Option (4)

Step-by-step explanation:

Domain of a function is defined by the x-values or input values of the function.

Similarly, Range of a function is defined by the y-values of output values for the corresponding input values.

From the graph attached,

Domain is restricted to 0 ≤ x ≤ 8.

Therefore, Range will be 0 ≤ y ≤ 4.

Option (4) will be the answer.

What is an equation of the line that passes through the points (4,1) and (8,-3)?

PLZZ HELPP MEE!!

Answers

Answer:

y=-x+5

Step-by-step explanation:

(4,1)

(8,-3)

1)a slope of a line is (y2-y1)/(x2-x1)

  so (-3-1)/(8-4)

  -4/4=>m=-1

2)to find y-int replace any points in the equation by x and y

so    1=-1(4)+b

        1=-4+b

        1+4=b

so b= 5

therefore the equation is  y=-x+5   so d

Write the missing number to make the fraction equivalent.

Answers

Answer:

the number is 30.

Step-by-step explanation:

Look at the denominators, 6 and 36.

6 x 6 = 36, so....

We multiply the 5 on top by 6 as well

5 x 6 = 30

So, the number is 30.

hope this helped!

Answer:

30/36

Step-by-step explanation:

A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel needs two tables for her birthday party. How many chairs will she need?

Answers

i think the answer is The 1st table represents a function

Lets explain how to solve the problem

- Function is a relation where each input has a single output

- The notation of the function is f(x) = y , where x is the input of the

function and y is the out put of the function

-  The domain of the function is x and the range of the function is y

* Lets find which table represent a function

# First table:

     x      y

    -3      -1

     0      0

    -2      -1

- In the first table

∵ -3 has only -1

∵ 0 has only 0

∵ -2 has only -1

∵ 8 has only 1

∵ Every x has a single y

∴ The table represents a function

∴ The 1st table represents a function

- In the second table

   x       y

   -5       -5

    0       0

   -5       5

    6       -6

∵ x = -5 has y = -5 and y = 5

∴ One x has two values of y

∴ The table doesn't represent a function

- In the third table

    x          y

   -4         8

   -2         2

   -2         4

    0         2

∵ x = -2 has y = 2 and y = 4

∴ One x has two values of y

∴ The table doesn't represent a function

- In the fourth table

    x          y

   -4         2

    3         5

   -4         0

∵ x = -4 has y = 2 and y = 0

∴ One x has two values of y

∴ The table doesn't represent a function

Answer:

It is 12

Step-by-step explanation:

pls answer this yall
2a-1+8b-12b+7a-12

Answers

2a+7a+8b-12b-12-1 9a-4b-13

A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70 cm/s. Find the rate at which the area within the circle is increasing after each of the following. A. After 1 second B. After 5 seconds C. After 6 seconds

Answers

Answer:

(A) 30772cm^2/s

(B) 153860cm^2/s

(C) 184632 cm^2/s

Step-by-step explanation:

We are given

speed of the ripple = 70cm/s

this speed is increasing the radius which means speed = radius /time

radius = speed*time

r= 70t

Now we know the area of the circle

A = π[tex]r^2[/tex]

this area will be increasing as ripples in water will spread out

upon differentiating

dA/dt = 2πr * [tex]\frac{dr}{dt}[/tex]

dA/dt = 2π*70t*70       ( r= 70t , dr/dt = speed = 70)

dA/dt = 9800π*t

(A) after 1 second

dA/dt = 9800π*1=9800π = 30772cm^2/s

(B) after 5 seconds

    dA/dt = 9800π*5 = 153860cm^2/s

(C) after 6 seconds

 dA/dt = 9800π*6 = 184632 cm^2/s

Use the SLOPE FORMULA to find the slope of the line that passes through the given points.
(1.3) and (4-7)

Answers

Answer:

[tex]m=\frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (1, -3)

Point (-4, -7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-7+3}{-4-1}[/tex]Add/Subtract:               [tex]m=\frac{-4}{-5}[/tex]Simplify:                        [tex]m=\frac{4}{5}[/tex]

Among all pairs of numbers whose sum is 12 , find a pair whose product is as large as possible. What is the maximum product? Show steps.

Answers

Answer:

We can only take positive number , Because negative is always smaller than positive.

We can take ,

6 + 6 = 12 .

6 x 6 = 36.

Where both are largest numbers possible.

Thus, the answer is 36.

The required pair of values which gives a sum of 12 and the largest product is 12

For a pair of numbers that sums of to 12 to ba as large as possible, then only positive integers would be considers.

11 and 1 = (11 × 1) = 11

10 and 2 = (10 × 2) 20

9 and 3 = (9 × 3) = 27

8 and 4 = (8 × 4) = 32

7 and 5 = (7 × 5) = 35

6 and 6 = (6 × 6) = 36

From the list, the highest product obtained is a value of 36. Hence, the number are 6 and 6.

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Point Slope Form: y+2=-7(x-4)
Slope-intercept form: ???
Will reward 100 points

Answers

Answer:

[tex] \blue{\boxed{\star \boxed{\bold{\large{7x + y = 26}}}\star}}[/tex]

Step-by-step explanation:

y + 2 = - 7 (x - 4)

y + 2 = - 7x + 28

y + 7x = 28 - 2

7x + y = 26

y = 26 - 7x ✔

What is the area of the right triangle shown below?
1.5
2.5

Answers

Answer:

Hello! The answer is 1.5

The area of the given right-angle triangle will be 1.5 unit².

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°.

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Given the tringle with,

Base =1.5 unit

Hypotaneous = 2.5 unit

By Pythagoras theorem

Perpendicular² = (Hypo² - Base²)

Perpendicular² =  2.5² - 1.5²

Perpendicular = 2 units.

Now the area of the right-angle triangle is

⇒  (1/2) × base × height.

Area = (1/2) × 1.5 × 2 ⇒ 1.5 unit²

Hence the area of the given triangle will be 1.5 unit².

For more information about triangle

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