A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. The test statistic is t≈1.971, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0.

Select all that apply:
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males between generations are different.

Answers

Answer 1

Answer:

The correct option is  

Option A and Option C

Step-by-step explanation:

From the question we are told that

   The sample size of paired men is  [tex]n_p   =  11[/tex]

   The test statistics is  t≈1.971

    The  significance level is  α=0.05

    The rejection region is  t<−2.228 and t>2.228

    The null hypothesis is  [tex]H_o :\mu_ d=0[/tex]

     The alternative hypothesis  is  [tex]H_a :\mu_ d \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

        [tex]df  =  n_1 +  n_2 - 2[/tex]

Here [tex]n_1[/tex] is the sample size of  father which is  [tex]n_1 =  11[/tex]

        [tex]n_2[/tex] is the sample size of males who are at least 18 years old  which is  [tex]n_2 =  11[/tex]

So

     [tex]df  =  11 +  11 - 2[/tex]

=>   [tex]df  =  20[/tex]

Generally the critical values of  α=0.05 from the  t- distribution table at a degree of freedom of  [tex]df  =  20[/tex]  for a two -tailed test  is  

     [tex]t_{0.05 , 20 } =  \pm 2.08596345  [/tex]

From the value  obtained we see that the critical value  is within the region of rejection hence

 The decision rule is

Reject the null hypothesis

The conclusion is  

  The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.

     


Related Questions

Write the equation of a line that passes through the point (-2, 1) and has a slope of 4. A. y = 4x − 7 B. y = 4x + 1 C. y = 4x + 3 D. y = 4x + 9

Answers

Answer:  D. y = 4x + 9

Step-by-step explanation:

Substitute the values of y and x from the given coordinate into the slope-intercept form using the given slope. Then solve for b

y = mx + b       Given:  Slope = 4   Coordinate (-2, 1)

1 = 4(-2) + b

1 = -8 + b     add +8 to both sides,  "cancels" -8 on right

1+ 8 =  b

9 = b       Rewrite equation using  original slope and calculated b

y = 4x + 9

Simplify the problem 4{28-[10+(3+1)×2]}

Answers

Answer:

= 40

Step-by-step explanation:

Calculate within the parentheses:

28 - [10 + (3 + 1) * 2]

= 10

Calculate within the parentheses:

[10 + (3 + 1) * 2]

= 18

Subtract (Left to right):

= 28 - 18

Simplify:

= 4 * 10

Simpliy:

= 40

i got 40

it’s a little less complicated that you think i’m not sure if this was the answer but i did it as i could remember.

Tyrone did’t do the dishes what lie would Tyrone use ?

Answers

Answer:

lol how are you gonna lie? the person asking will see the dirty dishes.

Step-by-step explanation:

Answer:

Sorry i didnt really hear what you said i was kind of in a rush.

we ran out of soap

I had a really important assignment that i need to do right away

I had a headache

I threw up

Step-by-step explanation:

HELP WITH 4. AND 5. Thanks in advance

Answers

here’s the answers hope this helps

Please help people!!!!! I’m stupid

X=8(1+2+3+...+49)+1225

Answers

This is absolutely positively 100% correct young sire

This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?

Answers

Answer:

(22,0)

Step-by-step explanation:

22 0

35 -15

48 -30

61 -45

74 -60

Yousef typed a 36-word paragraph in 23 minute. What is his typing speed, in words per minute?

Answers

Answer:

1.5652173913 words per minute.

Step-by-step explanation:

When you divide 36 words/ 23 minutes, you get 1.5652173913.

Three people are traveling and need to exchange the currency of their native country

for the currency of the country they are visiting. Drag each exchange to the category

that shows the ratio of currencies in that exchange.

CLEAR

U.S. Currency Foreign

(in dollars) Currency

25.00

15.75

U.S. Currency

(in dollars)

73.00

Foreign

Currency

81.03

U.S. Currency

(in fllars)

20.00

Foreign

Currency

22.20

U.S. Currency Foreign

(in dollars) Currency

30.00 21.90

U.S. Currency

in dollars)

50.00

Foreign

Currency

36.50

1 U.S. dollar per 1.11

72 dollar

Australian dollar

tban

Answers

Answer:

Step-by-step explanation:

1. Exchange rate = 1 U.S. dollar per 0.9009 foreign currency

i. U.S. Currency (in dollars) = 73.00

   Foreign currency = 81.03

ii. U.S. Currency (in dollars) = 20.00

   Foreign currency = 22.20

2. Exchange rate = 1 U.S. dollar per 1.3699 foreign currency

i. U.S. Currency (in dollars) = 30.00

   Foreign currency = 21.90

ii. U.S. Currency (in dollars) = 50.00

   Foreign currency = 36.50

3. Exchange rate = 1 U.S. dollar per 1.5873 foreign currency

i. U.S. Currency (in dollars) = 25.00

   Foreign currency = 15.75

4. Exchange rate = 1 U.S. dollar per 1.11 Australian dollar

i. U.S. Currency (in dollars) = 72.00

   Equivalent Australian dollar = 72.00 x 1.11 = 79.92

Answer:

?

Step-by-step explanation:

Increased by 175%, the number of 24 becomes what?

Answers

Answer:

66

Step-by-step explanation:

increase the number by 175% of its value.

percentage increase = 175% × 24

new value =

24 + percentage increase =

24 + (175% × 24) =

24 + 175% × 24 =

(1 + 175%) × 24 =

(100% + 175%) × 24 =

275% × 24 =

275 ÷ 100 × 24 =

275 × 24 ÷ 100 =

6,600 ÷ 100 =

66

What type of number is V40?
Choose all answers that apply:
А
Whole number
B
Integer
С
Rational
D
Irrational
PLEASE ANSWER!!!

Answers

Answer:

A, B, and C

Step-by-step explanation: I'm going to assume the V is a typo. 40 is a whole number (it isnt a fraction or decimal), an integer, and rational because it is a real number and ends.

13=b 5=c what is the length of the missing leg

Answers

Answer:

The length of the missing leg is 12

Step-by-step explanation:

Right Triangles

A right triangle is a triangle that has an internal angle of 90°. In right triangles, the Pythagorean relation between its side length stands.

Suppose a and c are the smaller sides, also called 'legs' of the triangle, and b is the bigger side, also known as hypotenuse, then:

[tex]a^2+c^2=b^2[/tex]

We are given the hypotenuse b=13 and one leg c=5. Let's find the missing leg solving the above equation for a:

[tex]a^2=b^2-c^2[/tex]

Substituting:

[tex]a^2=13^2-5^2[/tex]

[tex]a^2=169-25=144[/tex]

Solving:

[tex]a=\sqrt{144}=12[/tex]

The length of the missing leg is 12

Understand How far apart are two parallel lines ℓ and m such that
T〈4, 0〉 (△DEF) = (Rm ∘Rℓ)(△DEF)?

Answers

Answer:

2 units

Step-by-step explanation:

The surface area of the rectangular prism can be found using the expression
6
x
3
+
4
x
2
+
12
x
. If the value of x is 3, what is the surface area, in square centimeters, of the prism?

Answers

Answer:

102

Step-by-step explanation:

6*3*3+4*3*2+12*2=102

hopefully, it's right

Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation

Answers

Answer: 1) 500, 000

2) Five hundred thousand

3) [tex]5\times10^5[/tex]

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = 500, 000

In word - Five hundred thousand [ as place value of 5 =  hundred thousand]

In scientific notation, [tex]500, 000=5\times10^5[/tex]

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

3) [tex]5\times10^5[/tex]

The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
$10 per ticket to the planetarium. The second day they paid $90 for transportation plus $7 per ticket to
the geology museum. Write an expression to represent the total cost in dollars for two days for the
n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by

Answers

Answer:

(50+10n)+(90+7n)

100 POINTS SHOW YOUR WORK, ANSWER ALL PLEASE HELP!!!!

A chef has a favorite muffin recipe that uses 1/2 cup of blueberries for a whole batch. He has 3/4 cups of blueberries that he wants to use. Which equation can be used to solve for the number of batches of muffins, b, that the chef can make?

3/4 ÷ 1/2 = B
3/4 ÷ 2/1 = B
1/2 ÷ 3/4 = B
2/1 ÷ 3/4 = B

Monty has 3/4 pound of trail mix. He needs to divide the trail mix into 1/8 pound bags. How many trail mix bags will Monty have?

An adult elephant in the wild spends about 16 hours each day eating. During that time, the elephant will eat about 525 pounds of food.
If the elephant eats the same amount of food each hour, about how much food does it eat in one hour, to the nearest whole pound? Show or explain how you got your answer.

Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500?

Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27.
What did he write?

A club with 24 members has 4,896 event flyers to pass out.
Each member will be given the same number of flyers.
How many flyers does each member get?

Xavier is solving a problem on the whiteboard as shown.
Part A. Is Xavier's solution correct? If not, identify where he made an error.
Part B. Solve 7950 divided by 25.

Answers

Solution 1 :3/4 ÷ 1/2 = B

Solution 2 :

Quantity of trail mix with Monty = 3/4 pounds

Quantity of pounds he need to divide it into = 1/8

Number of trail mix bags Monty will have =

= 3/4 ÷ 1/8

= 3/4 × 8/1 ( division of fraction is multiplication with reciprocal )

= 24/4

We know that both 24 and 4 is divisible by 4 . Hence ,

= 24 ÷ 4 / 4 ÷ 4

= 6/1

= 6 bags

Therefore , Monty will have 6 bags of trail mix .

Solution 3 :

Quantity of food an elephant eats in 16 hours = 525 pounds

Quantity of food the elephant will eat in 1 hour = 525 ÷ 16

Quantity of food the elephant will eat in 1 hour = 32.8125 pounds = 33 pounds

Therefore , an elephant eats 33 pounds of food in 1 hour .

Solution 4 :

Number of tickets that can be purchased with $14 = 1 ticket

Number of tickets that can be purchased with $500 =

= 500 ÷ 14

= 35 tickets

Therefore , 35 tickets can be purchased with $500 .

Solution 5 :

Factors of 45 = 1 , 5 , 3, 9 , 15 and 45 .

Factors of 27 = 1 , 3 , 9 and 27 .

Their Greatest common factor = 9 .

Then , the sum of 45 and 27 can be written as :

9 ( 5 + 3 )

Therefore , Mr . Morris wrote = 9 ( 5 + 3 ) .

Solution 6 :

Total number of event flyers in a club = 4896

Total number of playerz in a club = 24

Then number of flyers each member of the club will get =

= 4896 ÷ 24

= 204

Therefore , each player will get 204 flyers .

Solution 7 :

Part A is not given .

Part B :

= 7950 ÷ 25

= 318

Therefore , 7950 ÷ 25 = 318 .

Help me if you can I would appreciate it thx

Answers

Answer: For the first one its J

The second one its H

Step-by-step explanation:

2
[tex] 2 \times 2[/tex]

Answers

FOUR FOUR FOUR FOUR FOUR FOUR FOUR 2*2=FOUR

Answer:

4

Step-by-step explanation:

2 × 2 = 4

I need to turn this in by tomorrow!!!!! PLEASE HELP ME.

Answers

Step-by-step explanation:

Alternate interior angles :- 1 , 4

corresponding angles :- 3

same side interior angles :- 2 , 5 , 6

A 40 ​-inch board is to be cut into three pieces so that the second piece is 4 as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first​ piece, find the lengths of all three pieces.

Answers

Answer:

4*4=16 INCHES FOR THE SECOND PIECE. 5*4=20 INCHES FOR THE LONGEST PIECE.

Step-by-step explanation:

x = 20 inch, the length of the first piece

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

given,

Total length = 40 inch

let first piece be = x inch

second piece = 4 times of first piece = 4x inch

third piece = 5 times of first piece = 5x inch

So,

x + 4x + 5x = 200

10x = 200

x = 200/10

x = 20

Therefore, the length of the first piece is 20 inch

Read more about mathematical expression here :

https://brainly.in/question/26994041

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I need help finding the function equasion of this table
X Y
0 0
1 4
2 16
3 36
4 64

Answers

y = 4x^2 (4x squared)

Darron has 293 cards. he buys 8 more packages of cards that each have 8 cards in them. How many cards does Darron has now?

Answers

Answer:

357 cards

Step-by-step explanation:

Multiply packs by card in each pack

8 x 8 = 64

add this value to the cards he had previously and you will get your answer

293 + 64 = 357

Answer:

357 cards

Step-by-step explanation:

8(8)+293= ?

64+293= 357

Convert 139 pounds to kilograms
Round answer to the nearest tenth.

Conversion table:
1 kilogram = 2.205 pounds

Answers

Answer: 63.1

Step-by-step explanation:

How do you solve this? Without going into anything to complicated as this should be Year 10 maths

Answers

Given : ABCD is a square with each side 5cm .

To Find : The area of the shaded region .

Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .

If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.

Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;

[tex]\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}[/tex]

Here radius will be equal to 5cm .

⇒ Area = πr² / 4 .

⇒ Area = π (5cm)² / 4 .

⇒ Area = 22/7 × 25 × 4 cm².

Area = 19.64 cm² .

So , total area of both quadrants = 39.28 cm² .

Also , area of square will be :

[tex]\large\boxed{\bf{\red{Area_{square}=(side)^2}}}[/tex]

⇒ Area = 5cm × 5cm .

Area = 25 cm².

Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².

Similarly area of other white region = 5.36cm² .

And the areas sum will be = 5.36cm² × 2 = 10.72cm² .

Now , from the figure it's clear that ,

⇒ Area of unshaded region + Area of shaded region = 25cm².

⇒ 10.72cm² + ar( Shaded region ) = 25cm².

⇒ ar ( Shaded region ) = 25cm² - 10.72cm².

ar ( Shaded region ) = 14.28 cm².

Hence the area of shaded region is 14.28 cm².

[tex]\large\boxed{\red{\bf Answer = 14.28cm^2}}[/tex]

Question 3
20 pts
The Indians won 14 out their last 20 games. What percent of their games
did they win?

Answers

Answer:

They won 70% of their games.

Step-by-step explanation:

Convert your fraction to a percentage.

Divide 14 by 20, which gets you 0.70.

Then multiply it by 100, which gives you 70.

Now you have a fraction of 70/100.

That's how you get 70%

First write the two numbers as a ratio, 14:20. We know that percent means out of 100, and we also know that 20 is a factor of 100, so let’s divide those numbers. We get 5 * 20 is equal to 100, then we multiply the other side of the ratio(14) by five. At last we get 70:100, which is nothing but 70%. To check multiply 70/100 by 20, and if you get 14 as the product, then we are correct.

The roots of the equation x^2+bx+c =0 are -4 and 2. Find c using the quadratic formula

Answers

Answer:

Step-by-step explanation:

Hello,

c= -4 * 2 = -8 as

[tex]x^2+bx+c=(x+4)(x-2)=x^2+2x-8[/tex]

with the quadratic formula

[tex]x_1=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}[/tex]

And

[tex]x_1x_2=\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{c}{a}[/tex]

thanks

What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?

A. y = −½ x − 5


B. y = −½ x − 1

C. y = 2x − 5


D. y = 2x − 1

Answers

Answer:

C. y = 2x − 5

Step-by-step explanation:

Given equation of line

2x − y = 3

rewriting the equation in slope intercept form as answer are given slope intercept form

y = 2x - 3

slope intercept form of equation is

y = mx + c

where m is the slope

c is y intercept

thus

slope for y = 2x - 3 when comparing with y = mx + c is 2

now we know slope of two parallel line is same

thus,

the slope of  line that is parallel to the line 2x − y = 3

is 2

Let the equation of required line be y = mx + c

where m = 2

thus

y = 2x + c is the new required equation

it passes through the point (2, −1)

using y = -1 and x = 2 in y = 2x + c

-1 = 2*2 + c

c = -1 - 4

c = -5

thus,

equation of required line is option c

y = 2x - 5 ----answer

What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?

Answers

Answer:

7.406

Step-by-step explanation:

It is 7.406 because 7x1 is 7, 4/10 is 0.4, and 6/1000 is 0.006. If you add those together, you will get 7.406.

7.406 is the decimal form

What is decimal in numeral system ?

The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation. A formal way to read decimals is to read the whole part as a whole number, then the decimal dot as “and” and then reading the fractional part altogether but using the place value of the last digit with it.

= (7x1)+(4x1/10)+(6x1/1000)

= 7 + 0.4 + 0.006

= 7.406

therefore , the decimal form of the expression is 7.406

Read more about decimal here:

https://brainly.in/question/109147

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My four-year-old son loves playing out in the garden. His favourite activity is digging up and inspecting creepy crawlies, especially snails. If he is patient enough, after the initial shock of being uprooted, they will emerge cautiously from the safety of their shells and start to glide over his little hands leaving viscid trails of mucus. Eventually, when he tires of them, he will discard them, somewhat callously, in the compost heap or on the woodpile behind the shed. Late last September, after a particularly busy session in which he had unearthed and disposed of five or six large specimens, he came to me as I was sawing up wood for the fire and asked ‘Daddy, how many snails is [sic] there in the garden?’ A deceptively simple question for which I had no good answer. It could have been 100 or it could have been 1000. To be quite honest, he would not have comprehended the difference. Nevertheless, his question piqued an interest in me. How could we figure this out together? We decided to conduct an experiment. The next weekend, on Saturday morning, we went out to collect snails. After ten minutes, we had a total of 23 of the gastropods. I took a sharpie from my back pocket and proceeded to place a subtle cross on the back of each one. Once they were all marked up, we tipped up the bucket and released the snails back into the garden. A week later we went back out for another round. This time, our ten-minute scavenge brought us just 18 snails. When we inspected them closely we found that three of them had the cross on their shells, while the other 15 were unblemished. This was all the information we needed to make the calculation. What is the total amount of snails

Answers

Answer:

There are 38 snails.

Step-by-step explanation:

Can anybody help me please I need help

Answers

I am pretty sure it is D hope this helps
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