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

HELP ME PLEASE IM ALMOST TO 100

Answers

Answer:

= 3/4

Step-by-step explanation:

Find 2 points on the graph

(2,3) and (6,6)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 6-3)/(6-2)

   = 3/4

The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?

Answers

Answer:

20

Step-by-step explanation:

Answer:

-10, 0, 10, 20, 30, etc.

Step-by-step explanation:

There are multiple elevations greater than -20

If you add +10 you will get closer to the positives. Any positive is greater than -20, EVEN 0!

The sign of the leading coefficient for the polynomial equation of the graph is negative positive zero

Answers

Answer:

The sign of the leading coefficient for the polynomial equation of the graph is NEGATIVE

Hope this helps!

Answer: 1 turning point

Step-by-step explanation:

A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)

Answers

Answer:

Step-by-step explanation:

Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]

[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]

where:

n = 26

k = 5

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]

[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]

Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen

13
In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)
m
(2x-10)
(65 - x)
Part A
Write the equation to find the value of x. (DO NOT find x, just write the equation.)
(2x - 10) (65 - x)
Part B
What is the value of x?
Y

Answers

Answer:

2x-10 = 65-x

Step-by-step explanation:

just add up both alternate internal angles as they are both equal

so, the equation is: 2x-10 = 65-x

Answer:

The right equation will be 2x - 10 = 65 - x (you were wrong lol)

Step-by-step explanation:

We have: 2x - 10 = 65 - x

=> 2x - 10 + x = 65

=> 3x = 65 + 10 = 75

=> x = 75/3 = 25

P/S: After some little chats with the others, this might be wrong :(

What is the answer tho

Answers

Answer:

to?

Step-by-step explanation:

uh what’s ur question?

v (t) = 32,000 (0.84)
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary

Answers

Answer:

c

Step-by-step explanation:

c because

2x2 + x + 5 = 0 i don’t know how to do this please help

Answers

9514 1404 393

Answer:

  x = -0.25+√2.4375i or -0.25-√2.4375i

Step-by-step explanation:

The quadratic formula works for this. The quadratic equation ...

  ax² +bx +c = 0

has solutions given by the quadratic formula:

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Your equation ...

  2x² +x +5 = 0

has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...

  [tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]

The decimal equivalents are ...

  x = -0.25+√2.4375i   or   -0.25-√2.4375i . . . . . . the 'i' is outside the radical

Given the formula A = pi r squared, how does the A vary in relation to the square of the radius?
a.
varies inversely
c.
varies jointly
b.
varies directly
d.
no relationship

Answers

I think it’s the third one. As the radius increases, so does the area.

Rachel is recording the temperature at her school every morning this week. On Monday, the temperature was 5°C. Part A: On Wednesday, Rachel calculated that the temperature was 13 degrees colder than Monday. What temperature did Rachel record on Wednesday? Part B: On Friday, Rachel calculated that the temperature was 4 degrees warmer than Wednesday. What temperature did Rachel record on Friday?​

Answers

Answer:

Part A: -8

Part B: -4

Step-by-step explanation:

[tex]5-13=-8[/tex]

[tex]-8+4=-4[/tex]

Which of these is the triangle proportionality theorem? First person to answer CORRECTLY gets brainliest

Answers

Answer: A.

Step-by-step explanation: Brainliest plz

find the value of x
The answer is 150.
I need to show my work.

THANKSSSS

Answers

Answer:

x = 150

Step-by-step explanation:

We know a circle is 360°, so the angles must add up to 60°.

Step 1: Set up equation

x - 120 + x - 120 = 60

Step 2: Solve for x

Combine like terms: 2x - 240 = 60Add 240 on both sides: 2x = 300Divide both sides by 2: x = 150

Step 3: Check

Plug in x to verify it is correct.

150 - 120 = 30°

150 - 120 = 30°

30° + 30° = 60°

60° + 300° = 360°

f(x) = x^3- 9x
What is the average rate of change of f over the interval [1, 6]

Answers

Answer:

Step-by-step explanation:

[tex]\frac{f(b)-f(a)}{b-a}[/tex] This is the formula for the average rate of change

over the interval (a, b)

a and b are x values

f(a) ad f(b) think of them as y values

Start calculating f(a) and f(b) a=1 b=6

replace all x's in formula with a, (1)

f(1)=1³-9(1) = 1-9= -8    f(1) = -8

Now do : b (6)

f(6) = 6³ - 9 (6) = 216-54=162 f(6) = 162

now plug everything into your equation

[tex]\frac{f(6)-f(1)}{6-1} =\frac{162- (-8)}{5} =\frac{170}{5} =34[/tex] average rate of change.

notice the 162 - (-8) In math there is no subtraction, and you would change it to + and when you do that you much change the sign of the next value making -8 a +8.

Hope this helps. Good luck!

A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. Find the rates of change of the radius when r = 70 centimeters and r = 95 centimeters.

Answers

Answer:

for r= 70 cm

the rate is 0.008cm/s

for r=95cm

the rate= 0.0044cm/s

Step-by-step explanation:

kindly find attached a rough sketch of the circle and a detailed solution of the problem.

Given data

rate dv/dt=500cm^3

r=70cm

r=95cm

HELP! Will be giving branliest!!!!!!

Answers

A is the right anwer to your Question because of the Hours and weeks

I’m like pretty sure it’s B. h = w/e because it seems like you’re to find Toms hours worked which can be calculated by the hourly wages over what he earns.

The quanities x and y are proportional Find the constant of proportionality (r) in the equation y= rx

CORRECT ANSWER = BRAINLEIST​

Answers

Answer:

5

Step-by-step explanation:

7*5=35

12*5=60

20*5=100

One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?

Answers

Answer:

1.2in

Step-by-step explanation:

Answer:

(1) 1.2 inches

if there are 7 fish and 3 drown how many are left?​

Answers

Answer:

7

Step-by-step explanation:

there are 7 left because fish can't drown

Fish can’t drown lol if this was a joke or test.

Nellie purchased 6.5 pounds of strawberries for $12.87. Calculate the cost of a single pound. (Round to the nearest tenth or cent when necessary)

Answers

Answer:

The answer is $1.98.

Step-by-step explanation:

The butterfly method shows how to do this. It is 12.87 over 6.5 equals x over 1. Cross-multiply to get 6.5x = 12.87. Divide both sides by 6.5 to get x = 1.98.

The midpoint of xy is located at the origin

Answers

Answer:

Is there supposed to be an image?

Step-by-step explanation:

If 24 divided by 4 is 6 what is the remainder?

Answers

there are no remainders left it’s 0

The remainder from the given division is 0.

Given that, 24 divided by 4 is 6.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

4|24|6

  24

______

    0

So, the remainder is 0.

Therefore, the remainder from the given division is 0.

To learn more about the division visit:

https://brainly.com/question/1575906.

#SPJ6

if loga81=4, find value of a?​

Answers

Answer:

[tex]\huge\boxed{a=4}[/tex]

Step-by-step explanation:

[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]

Solve for j if aj+k=v

Answers

Answer:

j=v-k/a

Step-by-step explanation:

It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.

Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each weighed 10 lb more than the boxes Caleb lifted.

Let c represent the weight of each box Caleb lifted.

Which expression represents the total number of pounds Sergio lifted?


120c

10(c−12)

12(c+10)

c + 10

Answers

Answer:

b

Step-by-step explanation:

Answer:

12 c+10

Step-by-step explanation:

becus

what is Pi? explain.

Answers

Answer:

Pi is a irrational number

Step-by-step explanation:

Pi is an irrational number because it never ends it keeps going on and one.

Pi is also 3.141592654.............. never ends

Can someone please help me with this question (there are more questions like this that I will post later, if your answer is correct I will give you brainliest)

Answers

Answer:

1. alterative exterior angles.

Step-by-step explanation:

I don't know what the rest of the other options are. So I can't answer the rest.

(4.3 x 10^-3)(2 x 10^-2) in standard form

Answers

Answer:

8.6•10^-5 or 0.000086

If a histogram of a sample of​ men's ages is​ skewed, what do you expect to see in the normal quantile​ plot?

Answers

Answer: Points are not following a straight-line pattern

Step-by-step explanation:

Histograms are used to show the distribution of a dataset.

If the histogram is skewed, then it means that the points do not follow a straight-line pattern, on the normal quantile plot.

From the question, we understand that:

The histogram is skewed

This means that:

The data points of the histogram are either concentrated on the right or on the left-hand side of the histogram.

The above highlight mean that:

The points on the histogram are unequal.

Hence, you would see that the points do not follow a straight line pattern on the normal quantile plot.

Read more about normal quantile plot at:

https://brainly.com/question/5678453

Quickkkk!!!!!!!! Help

Answers

Answer:

2143

Step-by-step explanation:

Is the square root of 14 +6.2 less than 3 pi - 8.2?

Answers

Answer:

No. √14 + 6.2 is more than 3π - 8.2

Step-by-step explanation:

√14 + 6.2

√20.2

≈ 4.494

π ≈ 3.14159

3(3.14159) - 8.2

9.42577 - 8.2

1.22477

Therefore, the answer is no.

Other Questions
How were the colonists view on government influenced during the American Revolution? Harappa/Mohenjo-Daro religion What similarity rule can be used to prove the triangles are similar . plz help draw a diagram of a seismometer showing how the movement of earth is lated into a siesmogram does anybody know these answers ? im literally struggling lol. its for the story The Chrysanthemums A jet airliner moving initially at 538 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 937 mph in a direction 23 degrees north of east. What is the new speed of the aircraft with respect to the ground. Answer in units of mph can someone help me with this if 3n-4=8 then what is the value of 5n-3 Which means of particle transport is shown in Figure 74 below?The figure shows the inside of a cell, the cell membrane, and the outside of the cell. Inside the cell, 15 spheres are labeled high concentration. Outside the cell, three spheres are labeled low concentration. A sphere enters a figure labeled transport protein that spans the cell membrane. An arrow shows that the sphere is moving from outside of the cell into the cell. A lightning bolt-shaped arrow is labeled energy and points to the transport protein. A shaded hemisphere is shown at the top of the illustration titled 'Inside of Cell.' In the hemisphere are sixteen small spheres labeled 'High Concentration.' At the bottom of the illustration is the label 'Outside of Cell' on the unshaded part of the image. There are three small spheres labeled 'Low Concentration' in this area. A curvy horseshoe looking shape labeled 'Transport Protein' is shown entering the inside of the cell and has an upward arrow labeled on it. A small sphere is at the bottom of the curvy horseshoe shape with a jagged arrow next to it labeled 'Energy.' A. diffusion B. osmosis C. facilitated diffusion D. active transport The introduction of tobacco during the early 1600s in the Virginia colony led to theA) devastating period of disease called the starving timeB) use of indentured servants, and later enslaved Africans, for agricultural laborC) concentration of settlers and farms into small village communitiesD) emergence of peaceful and cooperative relationships with neighboring American Indian peopleE) development of a diversified economyIf anyone could help me that would be greatly appreciated!!! Jerusalem is a major holy site for all of the following religions exceptA. ChristianityB. HinduismC. IslamD. JudaismPlease select the best answer from the choices providedAB What was the most important effect of the Louisiana Purchase?It gave the United States access to Mexico.It created a much smaller United States.It nearly doubled the size of the United States.It gave the United States control of Oregon. Lisa went to the hardware store and bought 12 pieces rope. Each rope was 3/4 of a meter long. If the rope cost $3.50 a meter, how much did she spend? Where is the vertex of f(x) = -2x - 3| +6.4? Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour? Identify two factors that have a product of 9/10 Which example illustrates public scientific communication?O A scientist collaborates with other scientists to plan an experiment.O Ascientist sends a preview copy of a journal article to some colleagues.O A federal government agency holds a press conference to describe the response to and the dangers of a new virusepidemic,A federal government agency publishes an article in a professional scientific journal detailing technical details of anew virus Which conditions affected early agricultural societies?economicspoliticssocialreligiouscultural Graph the line that passes through the points (-5,2) and (6,2) and determine the equation of the line. NEED HELP ASAPP !!! Describe the quality of American Indian reservations and the rations and annuities provided. Did the US government meet its promises regarding rations and annuities?