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
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
Related Questions
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.
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If the ratio of the sides of two similar prisms is 4:1. Is the ratio of the volume of the prisms the same? (4:1)
Answers
Answer:
The ratio of their volumes is not the same 4:1, but [tex](4:1)^3[/tex] = 64:1.
Step-by-step explanation:
Measurements in Similar Figures
In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the other corresponding lengths can also be expressed as a:b.
In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the areas can be expressed as (a:b)^2 and the ratio of the volumes can be expressed as (a:b)^3.
We are given the ratio of the sides of two similar prisms as 4:1. The ratio of their volumes is not the same 4:1, but [tex]\mathbf{(4:1)^3}[/tex] = 64:1.
Justin played video games for the following amount of time this past week 42 mins, 35 mins, 28 mins, 55 mins, and 57 mins what was the median amount of time justin played video games this past week
Answers
Answer:
42 minutes
Step-by-step explanation:
Put all numbers in order then cross out a number from each side until you reach the middle.
28, 35, 42, 55, 57
/ 35, 42, 55 /
/ / 42 / /
Answer:
3 hours and 37 minutes
Step-by-step explanation:
42+35+28+55+57=217
217/60=3.61666.....
217-60-60-60=37
Find the zeros of f(x) =x^3+2x^2-3x
Answers
Answer: 0, 1, -3
Step-by-step explanation:
f(x) = x^3 +2x^2 -3x
f(x) = x(x^2 +2x-3)
f(x) = x(x-1)(x+3)
to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3
Francesca obtains a loan of $18.965.00. The loan has a simple interest rate of 3%. How much interest will Francesca owe at the end of the first year?
Answers
Answer:
$568.95
Step-by-step explanation:
Given parameters:
Value of loan = $18965
Interest rate = 3%
Time = 1year
Unknown:
Interest = ?
Solution:
The interest on a particular amount is given as:
I = [tex]\frac{PRT}{100}[/tex]
I is the interest
P is the principal
R is the rate
T is the time
I = [tex]\frac{18965 x 3 x 1}{100}[/tex] = $568.95
In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Find the slant height AD of the pyramid, to the nearest tenth. Show your work with reasoning for each step.
Answers
Answer:
Don't have
Step-by-step explanation:
In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of thid, to the nearest tenth. Show your work with reasoning for each step. stepstep
David's Parents have a sandwich shop. They sell sandwiches for $5 each and
bottles of water for $1 each. The owners, David's Parents, need to earn a total of
$100 by the end of the day.
a) Write a linear equation that describes the problem
b) What are the slope and the y-intercept and what do they represent?
c) Graph the linear equation the shop's revenue. Make sure to label both axes with
appropriate titles.
d) Then use the graph to determine how many sandwiches the shop must sell if no
waters are sold.
Answers
Answer:
d is answer have a great day
The solution to -3(2 - 5x) = 3x + 12 is
1. -2.25
2. -1.625
3. 1.5
4. 3
Answers
Answer:
1.5
Step-by-step explanation:
i am not certain but this is how I got it
First distribute which gives you the -3 with 2 I switched them around so I did -3(-5x+2) and you will get 15x-6
Then the opposite of subtraction is addition so you add 6 to both sides so you add six to 12 and to 6 leaving you with 15x=3x+18 you then will subtract 3x from 15x and 3 leaving you with 12x=18 the divide the numbers
After you divide you get 3/2 then put it has a decimal and you get 1.5
Selecting which is the digit six is 10 times the value of the digit six in 3.161
Answers
Step-by-step explanation:
All the answers which apply are D and F
Answer:
I think it is d but I am now overthinking it so don't put too much trust in that
HELP!!!!
What is the result when the number 80 is decreased by 8%?
Answers
Answer:
79.92
Step-by-step explanation:
Step-by-step explanation:
80 decreased by 8% means;
80 - (8/100 × 80) = 80 - (0.8 × 8)
= 80 - 4.8 = 75.2
What is Gia's final number if her starting number is 9?
) Gia's final number is
Plaseeeeeeeeee
Answers
Answer:26
Step-by-step explanation:
Gia's final number, if her starting number is 9 is 22
How to determine Gia's final number?The rule of Gia's number is given as:
y = 2x + 4
Where x represents the starting number and y represents the final number.
Substitute 9 for x in y = 2x + 4
y = 2 * 9 + 4
Evaluate
y = 22
Hence, Gia's final number is 22
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Which expression is equivalent to 8/9 divided 3/4?
don't feel like using my brain
Answers
Answer:
32/27
Step-by-step explanation:
The fractional division is draculated as follows:
(a/b) / (c/d) = (a*d) / (b*c)
then:
(8/9) / (3/4) = (8*4) / (9*3) = 32/27
I need help on this question
Answers
Answer:
B. 63 degrees
Step-by-step explanation:
Its the same angle as the one above it.
I hope this helps :)
Have a nice day!
Answer:
B
Step-by-step explanation:
If lines AB and CD are parallel, then angle h is equal to 63 degrees
Select the expression that is NOT equivalent to 2 × (3 + 6).
A. 6 + 12
B. (2 × 3) + (2 × 6)
C. (2 × 6) + (2 × 3)
D. (2 × 3) + (3 × 6)
Answers
B. 18
C. 18
D. 24
Answer:
D
Step-by-step explanation:
in answer D, the values would equal "6" and "18" which is not equivalent to the given equation
I NEED HELP WITH B AND E
Answers
Question 1
2 (4x - 1) + 6
Equivalent to what
Answers
Answer:
2 (4x - 1) + 6 = 8x + 4 = 4(2x+1)
Step-by-step explanation:
2 (4x - 1) + 6
= (2*4x + 2*-1) + 6
= 8x - 2 + 6
= 8x + 4
= 4/(2x+1)
Answer:
4(2x+1)
Step-by-step explanation:
First, factor it out:
2(4x-1+3)
Then calculate:
2(4x+2)
Factor out 2:
2 • 2(2x+1)
Then finally multiply:
4(2x+1)
The first term of a sequence is 18, and the fifth term is 54. What is the common difference between each two consecutive terms? 36 27 18 9
Will give brainliest
Answers
Answer:
9
Step-by-step explanation:
Sorry to lazy to type
Calculation is up
Answer:
The answer to your question will be 9, sorry that im late!
Step-by-step explanation:
Find slope or line grab
Answers
Answer:
Step-by-step explanation:
divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
helppp me please i’m going to fail
Answers
-10x+2y=-14
-3x-2y=-12
——————-
-13x=-26
Divide both by -13
x=2
i need help answering this
Answers
Use the inequality below to find the value of r .
150 - 5 r ≥ 87.5
a. r ≥ 12.5
b. r ≤ 12.5
c. r ≥ -(12.5)
d. r ≤ -(12.5)
Answers
Can someone help me please?
Answers
Answer:
the first one and the last three
Step-by-step explanation:
that should be it.
40 percent of the people in the club are new this year if there are 12 be people how many people are in the club
Answers
Answer:
The answer is 30
Step-by-step explanation:
12 ÷ 40% = 30
are the triangles congruent? if they are, state how they are congruent.
Answers
Answer: Yes
Step-by-step explanation: by SAS
Answer:
Step-by-step explanation:
ASA postulate of congruence.
ANSWER PLEASE LIKE FR
Answers
Answer:
63 grams
Step-by-step explanation:
42*4+Δ = 42+ 3*Δ
168 +Δ = 42 +3Δ subtract a triangle from both sides
168+Δ-Δ=42+3Δ-Δ
168 = 42 +2Δsubtract 42 from both sides
168-42 = 2Δ
126 = 2Δ divide both sides by 2
63 = Δ
What value of b will cause the system to have an
infinite number of solutions?
6
y = 6x-b
+3x+12y=-3
-3x + y = -3
b =
Answers
Answer: b=6
Step-by-step explanation:
I hope this helps on edge
To make the system have an infinite number of solutions, the value of b can be any real number.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
For the system to have an infinite number of solutions, the two equations must be dependent, which means that one of the equations can be obtained by a linear combination of the other two equations.
So,
Let's rearrange the given equations into the slope-intercept form:
y = 6x - b _____(1)
3x + 12y = -3 ______(2)
-3x + y = -3 ______(3)
From equation (3),
y = 3x - 3 _______(4)
Now,
We can see that equation (1) is a multiple of equation (4) with a slope of 6/3 = 2.
Specifically, equation (1) can be obtained by multiplying equation (4) by 2 and then subtracting b from both sides.
So,
2(3x - 3) - b = 6x - b
Simplifying this expression.
6x - b = 6x - b
Since this equation is true for any value of x and b, we have an infinite number of solutions.
Therefore,
To make the system have an infinite number of solutions, the value of b can be any real number.
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PLEASE NEED HELP URGENTLY!
Raul tried to find the midpoint between 5 & 3i and 12 + 7i. Check his work below.
Sum=(5+(-3))+(12+7)i
=2+19i
so the midpoint is 1+ 19over2 i
What mistake did Raul make?
AHe subtracted the values instead of adding them.
BHe did not add the corresponding parts of the complex numbers.
CHe found the sum instead of the average because he forgot to divide by two.
DHe added the numbers in the wrong order.
Answers
Answer:
B.He did not add the corresponding parts of the complex numbers.
Step-by-step explanation:
A mid point is a point that is of equal distance to two reference points.
Given: Find the midpoint of 5+(-3)i and 12+7i.
These expressions have two parts: the value and complex number parts.
Thus the addition ought to have been;
(5+(-3i)) + (12+7i) = (5 - 3i) + (12 + 7i)
= (5 + 12) + (-3i + 7i)
= 17 + 4i
The midpoint can be determined as:
[tex]\frac{(17 +4i)}{2}[/tex]
Thus it can be observed that Raul did not add the corresponding parts of the complex numbers.
Answer:
bbbbbbbbb
Step-by-step explanation:
What is 11/12 divided by 1/3
Answers
Answer:
Step-by-step explanation:
11/12 ÷ 1/3 = 2 3/4, or 11/2 as a improper fraction
hope this helps
Answer:
11/12 divided by 1/3 is the same as 11/12 * 3/1, which is 33/12.
Step-by-step explanation:
Express 8e^i16pie in rectangular, polar and trignometric form?
Answers
Euler's formula immediately gives
[tex]8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8[/tex]
and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.
Given m||n, find the value of x.
Answers
x=21
Step-by-step explanation:
• 8x - 7 = 9x - 28
(group like terms)
• 8x - 9x = -28 + 7
• -1x = - 21
(negative cancels out)
• x = 21