A sportswriter wishes to see if a football filled with helium travels farther, on average, than a football filled with air. To test this hypothesis, the writer uses 18 male subjects, randomly divided into two groups of 9 subjects each. Group 1 kicks a football filled with helium to the recommended pressure, while Group 2 kicks a football filled with air to the same pressure. The sample mean yardage for Group 1 was barx2 = 30 yards with a standard deviation of s1 = 8 yards. The mean yardage for Group 2 was barx2 = 25 yards with a standard deviation of s2 = 6 yards. Assume that the two groups of kicks are independent. Let μ1 and μ2 represent the mean yardage we would observe for the entire population represented by the volunteers if all members of this population kicked, respectively, a helium-filled football and an air-filled football. Let σ1 and σ2 be the corresponding population standard deviations. Assuming two-sample t procedures are safe to use, what is a 99% confidence interval for μ1 – μ2?
A) 4 ± 7.7 yards.B) 4 ± 11.2 yards.C) 4 ± 4.7 yards.D) 4 ± 6.2 yards.

Answers

Answer 1

Answer:

5 ± 9.74

Step-by-step explanation:

Confidence interval, two - sample, t procedure ;

μ1 - μ2 = (x1 - x2) ± Tcritical*S

S = sqrt[(s1²/n1) + (s2²/n2)]

n1 = 9 ; n2 = 9 ; s1 = 8 ; s2 = 6 ; x1 = 30 ; x2 = 25

S = sqrt[(8^2/9) + (6^2/9)]

S = sqrt[11.111111]

S = 3.333

Tcritical at 99% confidence interval

df = 18 - 2= 16

Tcritical = 2.92

(30 - 25) ± 2.92*(3.333)

5 ± 9.74


Related Questions

Which expression is equivalent to 9 Superscript 5?
9 times 5
5 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5
9 times 9 times 9 times 9 times 9
9 times 9 times 9 times 9 times 9 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5

Answers

Answer:

9 x 5

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 5^9

9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 = 9 ^ 10

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 5^9

5^9 x 9^10 x 5^9

5^18 x 9^10

Step-by-step explanation:

Answer:

c

Step-by-step explanation:


A single die is rolled. Find the probability of getting an odd number or a number less
than 5.

Answers

Answer:

Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5

Step-by-step explanation:

A shopkeeper paid $90 for 90 apples. He sold half of them for $3 each and the rest at $1 each.

Answers

Answer:

either $180 or $90?

Step-by-step explanation:

first i think you divide 90 by 2, which gives you 45. multiply 45 by 3, which is 135, then multiply 45 by 1, which is just 45. add those together and you get 180. i'm not too sure what you're looking for in the question, but if you're looking for the difference between what he bought them for, it'd be $90. if youre looking for how much he got from those apples, it's $180. hope that helps :)

(4, -3) reflected over the x-axis

Answers

Answer:

(4, -3) reflected over the X axis is (4,3)

Step-by-step explanation:

the number of days, d, that it will take to run a marketing campaign is given by d = 192/n where n is the number of people needed each day. alex’s company will take 32 days to run the campaign. shay’s company will take 24 days to run the campaign. shays company will have to use more people each day than alex’s company. how many more?

Answers

Answer:

2 more people each day.

Step-by-step explanation:

We are given the following relation:

[tex]d = \frac{192}{n}[/tex]

In which d is the number of days that will take to run a marketing campaign with n people.

Alex’s company will take 32 days to run the campaign.

So the number of people in his campaign is given by:

[tex]32 = \frac{192}{n}[/tex]

[tex]32n = 192[/tex]

[tex]n = \frac{192}{32}[/tex]

[tex]n = 6[/tex]

Shay’s company will take 24 days to run the campaign.

So the number of people in her campaign is given by:

[tex]24 = \frac{192}{n}[/tex]

[tex]24n = 192[/tex]

[tex]n = \frac{192}{24}[/tex]

[tex]n = 8[/tex]

Shays company will have to use more people each day than alex’s company. how many more?

8 - 6 = 2

Help with this due today

Answers

Here is the answers

The owner of a food truck finds a new supplier where she can purchase her supplies at a lower price. If nothing else changes, how will this affect her business? Select all that apply.

A: The unit cost of each ingredient increases.
B: The cost per sandwich decreases.
C: The profit per sandwich increases.
D: The selling price per sandwich decreases.

Answers

Answer:

B C D

Step-by-step explanation:

uhhhhhhhhhhhhhhhhhhhh I think B and D are the same thing but okayyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy.

Divide 14 4/10 by 5 9/16

Answers

1152/445 or u can put 2 262/445

which slope represents a like that passes through (4, 1/3) and has a slope of 3/4

Answers

Answer:

Answer is in her photo

Step-by-step explanation:

i dont remember need the points though



Maria decides to increase her homework time of 8 hours per week by 15% Calculate her new homework time. Give your answer in hours and minutes

Answers

Answer:

Maria's homework time is now 9 hours 12 minutes.

Step-by-step explanation:

Since Maria decides to increase her homework time by 15%.

Then,

15% of 8 hours = [tex]\frac{15}{100}[/tex] x 8 hours

                        = 0.15 x 8 hours

                        = 1.2 hours

(Note that: 1.2 hours = 1 hour 12 minutes)

15% of 8 hours = 1 hour 12 minutes

her new homework time = 8 hours + 1 hour 12 minutes

                              = 9 hours 12 minutes

Maria's homework time is now 9 hours 12 minutes.

Find the value of x.

Answers

Answer:

107

Step-by-step explanation:

x=180-73

x=107

hope it helps


NEED ANSWERS PLEASE!


Which statement is true?
A)
Company l's rate per pound is twice the rate per pound of
Company 2.
B)
Company 2's rate per pound is twice the rate per pound of
Company 1.
© Company. 1's fixed fee is twice the fixed fee of Company 2.
D Company 2's fixed fee is twice the fixed fee of Company 1.

Answers

i’m pretty sure it’s the second answer? but not for sure i’ve done this before though

Vertical/supplementary/Complementary Angles (Algebraic)​

Answers

these are vertical angles, and t=12.
the angle measurements are 97°, 97°, 83°, 83°. is this what you were looking for? here’s the work on how i got this:

97= 8t+1
subtract 1 from both sides
96=8t
divide both sides by 8
12=t


because 97 and 8t+1 are vertical angles, they are automatically equivalent.

to find the other angles, you would do

180-97=83

the last angle is 83° because it is a vertical angle to the other 83° angle.

if this helped please mark brainliest and if you need more to this answer or more of an explanation lmk

0.2) Sharad bought one quintal of onions for Rs 2000. Later he
sold them all at the rate of Rs 18 per kg. Did he make a profit
or incur a loss? How much was it?​

Answers

Answer: Loss, 200 Rs

Step-by-step explanation:

Given

Sharad bought  a quintal of onion i.e. [tex]1000\ kg[/tex] for [tex]Rs.\ 2000[/tex]

So, the cost price of onion is

[tex]\Rightarrow \dfrac{2000}{100}=20\ \text{Rs per kg}[/tex]

He sells it at [tex]18\ \text{Rs. per kg}[/tex]

Here, the Selling price is less than the cost price

So, he incurs a loss of [tex]2\ \text{Rs per kg}[/tex]

For a quintal it is

[tex]\Rightarrow 2\times 100=200\ \text{Rs}[/tex]

[tex]\Rightarrow \text{Loss }\ \%=\dfrac{C.P.-S.P.}{C.P.}\times 100\\\\\Rightarrow \text{Loss }\ \%=\dfrac{20-18}{20}\times 100=10\%[/tex]

Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you know.

Answers

Answer:

IT IS NOT POSSIBLE

Step-by-step explanation:

4+6<11

Answer:

Step-by-step explanation:

Not possible. 11 > 4+6

pls help i beg Gimme the radius circumference and area

Answers

Answer:

Radius = 5.75

Circumference = 36.13

Step-by-step explanation:

Here we have the diameter, and the radius is half of the so 5.75. For the circumference, we can use the formula C=2πr

Please help! I will mark you brainiest!!!!

Answers

Answer: x = 3

isolate x by adding 4 to each side

2x = 6

Divide by 2 to get x

x = 3

What is the measure of Zx ?
60°
75
20°

Answers

Answer:

135°

Step-by-step explanation:

angle x spans throughout two angles, 75° and 60°, so it is the sum of the two. It could not be any of the answers you gave.

9=x/12
What is x
I will give brainliest if correct

Answers

108 hope this helps.

What is the hypotenuse of a triangle with legs that are both 4 inches?

Answers

By applying Pythagorean's theorem, the hypotenuse of this triangle is equal to: D. √32 inches..

Given the following data:

Adjacent side = 4 inches

Opposite side = 4 inches.

How to calculate the hypotenuse of a triangle?

In order to calculate the hypotenuse of this triangle, we would apply Pythagorean theorem.

Mathematically, Pythagorean's theorem is given by this formula:

c² = a² + b²

Where:

c is the hypotenuse.a is the adjacent side.b is the opposite side.

Substituting the given parameters into the formula, we have;

c² = 4² + 4²

c² = 16 + 16

c² = 32

c = √32 inches.

Read more on Pythagorean theorem here: https://brainly.com/question/16176867

#SPJ2

WILL GIVE BRAINLIEST!!

please help meee the question is in the picture

Answers

Answer:

The answer is 6cm

Step-by-step explanation:

Which represents the value of c?

Answers

Answer:

Step-by-step explanation:

you are given the law of sines, in the question, so i'm guessing you don't get "law of sines" ???  

some times I think people might just be lazy and they don't try, but I can understand if you really don't get "law of sines' b/c it is kinda abstract.

Any way here is how you solve this problem and please ask if you don't understand about something I do to solve this.   Ask about it if you don't get it.  :)

Sin(45) / c   = Sin(45) / 3  

now algebraically solve for c

3* Sin(45) / Sin(45)  = c

if you're thinking the answer is 3 you're right.

indecently , if you didn't notice, this is an isosceles triangle and they do have the same length legs.   so  you know that x = 3 right away from that, but, it's good to understand Law of Sines as well.  :)  

what's the denominator of 75/? if 30/42

Answers

Answer:

The answer is 42 there you go

Step-by-step explanation:

Alonzo, Alice and Juan again all got different answers when they solve another problem. This time, they were solving:
( − 48 ) ÷ ( − 6 )

Alonzo believes the answer is 8.

Alice believes the answer is -8.

Juan believes the answer is -1/8
Do you agree with any of their answers?

Answers

Alonzo is correct

When dividing two negative numbers together they become positive so it’s basically 48 divided by 6

Helpp I’ll give brainilest to whoever answers first

Answers

Answer:

89

Step-by-step explanation:

5nttddddddddddddddddddddd

what is the quotient of 3/20 of 10 is divided by 5/10 of 6/14?

Answers

Answer:

30

Step-by-step explanation:

6/10 of 20 is 12

 

7/14 of 12/15 is 1/2 of 4/5 which is 2/5

 

so you have to compute 12 ÷ 2/5 which is done as 12 times (5/2) which is 30.

Which function is not the same as the other three?

Answers

Bottom left I think..

What relationship do you think is shown in the graph below ?

Answers

Answer:

Un helado

Step-by-step explanation:

Answer:

Linear

Step-by-step explanation:

As the temperature goes up, the sales for ice cream go up, so it is a linear relation.

If you find it is helpful plz give Brainliest.

Which expression is equivalent(equal to) to
(10+77-12)+(-672-18+51) HELPPPPP

Answers

(10+77-12)+(-672-18+51)

(87-12)+(-690+51)

75+(51-690)

75-639

-564

---

hope it helps

Select the correct answer.
A company is analyzing whether its employees prefer to skip their lunch break and leave a half-hour early each day or take a lunch break and
leave at the normal time each day. It conducts an observational study to determine which option is selected more often. At the end of the first
week, the company finds that the majority of employees prefer to skip their lunch break and leave a half-hour early each day.
The company then repeats the observational study for 10 more weeks. The study yields the same results for only five of the weeks. What
generalization can be made from the results of this study?
A. The sample is biased; therefore, a generalization cannot be made regarding which option is selected more often.
B. The majority of employees prefer to skip their lunch break and leave a half-hour early.
C. The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.
D. The majority of employees prefer to take a lunch break and leave at the normal time each day.

Answers

Answer:

The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.

Please give me brainliest, I really need it.

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