Two ride-sharing companies, A and B, provide service for a certain city. A random sample of 52 trips made by Company A and a random sample of 52 trips made by Company B were selected, and the number of miles traveled for each trip was recorded. The difference between the sample means for the two companies
(A−B) was used to construct the 95 percent confidence interval (1.86,2.15).
Which of the following is a correct interpretation of the interval?
A. We are 95 percent confident that the difference in sample means for miles traveled by the two companies is between 1.86 miles and 2.15 miles.
B. We are 95 percent confident that the difference in population means for miles traveled by the two companies is between 1.86 miles and 2.15 miles.
C. The probability is 0.95 that the difference in sample means for miles traveled by the two companies is between 1.86 miles and 2.15 miles.
D. The probability is 0.95 that the difference in population means for miles traveled by the two companies is between 1.86 miles and 2.15 miles.
E. About 95 percent of the differences in miles traveled by the two companies are between 1.86 miles and 2.15 miles.
3. Two community service groups, J and K, each have less than 100 members. Members of both groups volunteer each month to participate in a community-wide recycling day. A study was conducted to investigate whether the mean number of days per year of participation was different for the two groups. A random sample of 45 members of group J and a random sample of 32 members of group K were selected. The number of recycling days each selected member participated in for the past 12 months was recorded, and the means for both groups were calculated. A two-sample t-test for a difference in means will be conducted. Which of the following conditions for inference have been met?

I. The data were collected using a random method.
II. Each sample size is less than 10 percent of the population size.
III. Eachsamplesizeislargeenoughtoassumenormalityofthesampling
distribution of the difference in sample means.
A. I only
B. II only
C. III only
D. I and III only E. I, II, and III

Answers

Answer 1

The correct interpretation of the interval is:

B. We are 95 percent confident that the difference in population means for miles traveled by the two companies is between 1.86 miles and 2.15 miles.

The conditions for inference that have been met are: D. I and III only.

For the first question, the correct interpretation of the confidence interval is:

B. We are 95 percent confident that the difference in population means for miles traveled by the two companies is between 1.86 miles and 2.15 miles.

This interpretation reflects the fact that the confidence interval was constructed based on the sample means, but it provides an inference about the population means of the two companies.

For the second question, the conditions for inference that have been met are:

D. I and III only

I. The data were collected using a random method.

This ensures that the samples are representative of the population.

III. Each sample size is large enough to assume normality of the sampling distribution of the difference in sample means.

This condition implies that the sample sizes are sufficiently large to rely on the central limit theorem, which states that the sampling distribution approaches a normal distribution as the sample size increases.

Condition II, which states that each sample size is less than 10 percent of the population size, is not explicitly mentioned in the question. Therefore, we cannot assume that this condition has been met.

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Related Questions

can Someone help me I really don't understand

Answers

Answer is A. it’s being scaled by 4, so divide 5 by 4.

A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 100oth, that both
marbles drawn will be blue?

Answers

Answer:

0.218

Step-by-step explanation:

Probability is the likelihood of an event.

According to the word problem, of the 15 marbles, there are 7.

Since there are 7 blue marbles, the expected outcome of both events is 7.

The probability of the first blue marble is 7/15.

The probability of the second blue marble is 7/15.

To find the probability of both marbles being drawn, we must multiply both fractions.

Like this,

7/15 ⋅ 7/15 = 49/225.

49/225 in decimal form is 0.21777778

0.21777778 rounded to the nearest hundredth is 0.218.

Therefore, the probability of two blue marbles being drawn out of the bag is 0.218.

What is the angle of the slope

Answers

Answer:

y=103°

Step-by-step explanation:

Supplementary angles:

[tex]y+77=180[/tex]

[tex]y=103[/tex]

Find the volume V of the cone. Round your answer to the nearest tenth.

Answers

The volume of cone formula is 1/3 times pi times radius^2 times height. So in this case the formula which numbers substituted in would be 1/3 times pi times 8^2 times 12. The final answer would be 804.2477 and if rounded it would be 804.2 m^2

Need help will give brainliest if you answer plz explain how I want to learn?

Answers

Answer:

16 degrees

Step-by-step explanation:

This is a right triangle with shorter leg 3 in and hypotenuse 11 in.  The 3 in side is opposite the angle theta.  Thus, by definition of the sine function,

sin theta = 3/11 = 0.273

Using a calculator and the inverse sine function, we get theta = 0.276 radian, or 15.8 degrees.  This rounds up to 16 degrees.

PLEASE HELPPPPPPPPPPPPPPPPP

Answers

Answer:

Diameter = 43.96[tex]m^{2}[/tex]

Circumference = 153.86[tex]m^{2}[/tex]

A pool holds 8400 litres of water. A builder fills up the pool with a 17 litre container. He pours in 379 containers of water. Is this enough to fill the pool?

Answers

Answer:

No, because 379 times 17  6443

Step-by-step explanation:

Which of the following is irrational?
WILL GIVE 20 POINTS!! PLEASE SOMEONE HELP ASAP

Answers

sqrt of 6. The first choice.

Answer:

√6 is the right answer. You're correct.

Step-by-step explanation:

√6=2.44948974278(irrational) because it has non repeating decimals

√900=39

√25=5

√0.16=0.4

My problem is posted below:

Answers

The answer is d. 2.6 and 7

Find the measure of the indicated arc

Answers

Answer:

m(ABC) = 218°

Step-by-step explanation:

The measure of any arc with end points of an inscribed angle = 2 × inscribed angle

Inscribed angle = m<AMC = 109°

Intercepted arc = m(ABC)

Therefore,

m(ABC) = 2 × 109°

m(ABC) = 218°

How many solutions does the system y = -3x - 3 and y = -3(x + 1) have? Why?


Answers

                                            .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .        .

Pleaseeeee helppppp will mark you as brainlist

Answers

Answer:

The length of the hypotenuse is 91.7

Step-by-step explanation:

To Solve this we first need to distribute the x to the base and side of the triangle, 6(13) + 5 = 83 & 3(13) = 39

Now we use pythagorean theorem, A squared + B squared = C squared.

83 squared = 6889

39 squared = 1521

Now add them up

6889 + 1521 =  8410

Now since it is C squared, we need to find the square root to get C.

The square root of 8410 = 91.7060521 or to round the tenth, 91.7

(っ◔◡◔)っ ♥ Hope It Helps ♥


What is the area of the composite figure above in m2 ?

Answers

Answer:

176m

Step-by-step explanation:

Find the area of a composite firgue by splitting the it into shapes you know you can find the area of.

In the is there is rectangle and rectangle so do the formula for rectangle.

A = bh

A = 10×4

A = 40

A = bh

A = 17×8

A = 136

then add the areas up to get your answer

136+40 = 176

eathan ran 11 miles in 2 hours. what is the unit rate of miles to hours

Answers

Answer:

5.5:1

Step-by-step explanation:

Answer:

5.5 miles per hour

Step-by-step explanation:

11/2= 5.5

draw a blox plot for this plz ill give ten points and brainlest

Answers

First, write the numbers from least to greatest. The smallest number goes to the far left and the highest goes to the far right. Those are the whiskers. 61 is the middle number so that goes in the middle. Then find the middle between the left whisker (51 and the middle 61, which is 56. Then do the same for the other side.

museum has an aquarium in the shape of a right rectangular prism that is 22 meters long, 7 meters wide, and 4 meters high. What is the volume of the aquarium?

Answers

Answer:

790

Step-by-step explanation:

The volume equals: Height * Width * Length

Therefore, the volume = 22.9*7.5*4.6 = 790 cubic meters.

what statement does not apply to a debit card

Answers

Answer:

payment fees

Step-by-step explanation:

Lydia's teacher wants her class to take note of the gas prices around town and round them all to the nearest whole number. Lydia found these gas prices:

$3.51, $3.84, $3.41, and $3.79.

Which of these prices would round to $3.00?

Answers

3.41, due to it being below .50

Cara’s calculator weighs 0.2 pounds. Cara’s computer weighs 22.5 times as much as her calculator. How much does Cara’s computer weigh?

Answers

Answer:

4.5 pounds

Step-by-step explanation:

0.2 × 22.5 = 4.5 pounds

Done the probability that a randomly selected student will be a junior, given that the student owns a car.

Answers

D. 4/11

Since they say the student owns a car, that means the population is the first column only. That gives us a denominator of 22. Only 8 of the 22 students with cars are juniors. So there is an 8/22 chance...which reduces to 4/11.

Please let me know if you have questions.

5. Place the following numbers in order from least to greatest. √16, 6, √19, 5, √37
A. 5, 6, √16, √19, √37
B. √16, √19, 5, √37, 6
C. √16, 5, 6, √19, √37
D. √16, √19, 5, 6, √37

Answers

A is correct because it’s the only answer that starts with five
Correct answer is A
Have a good day

From a horizontal distance of 80m, the angle of elevation to the top of a flagpole is 180. Calculate the height of the flagpole.

Answers

Answer:

0

Step-by-step explanation:

From a horizontal distance of 80m, the angle of elevation to the top of a flagpole is 180. Calculate the height of the flagpole.

We solve the above question using the trigonometric function of Tangent

The formula is given as:

tan θ = Opposite/ Adjacent

θ = 180°

Adjacent = 80m

Opposite = Height = x

Hence,

tan 180 = x/80

Cross Multiply

x = tan 180 × 80

x = 0m

The height of the flag = 0

Your dogs water bowl is 3/4 full. After taking a drink, the water bowl is 1/3 full. What fraction of the bowl did your dog drink? If you can please show work! Thanks!

Answers

Answer:

The dog drank 5/12 of the bowl

Step-by-step explanation:

Common denominator

3/4 = 9/12

1/3 = 4/12

9/12 - 4/12 = 5/12

Answer: Your dog drank 5/12 of the bowl.

Step-by-step explanation:

3/4 - 1/3 = 5/12

3/4 = 9/12

1/3 = 4/12

9/12 - 4/12 = 5/12

Therefore, your dog drinks 5/12 of the water in the bowl.

hope this helps :D

The Front and Back sides are both triangles. Explain why he isnt going to divide the base x height by 2.

Answers

Answer:

is it to late now??

Step-by-step explanation:

ANSWER QUICK.
Aaliyah has a loyalty card good for a discount at her local hardware store. The item
she wants to buy is priced at $39, before discount and tax. After the discount, and
before tax, the price is $33.54. Find the percent discount.

Answers

Answer:

14 %  discount

Step-by-step explanation:

39.00 x .14 = 5.46

39.00 -5.46 = $33.54

The sum of two numbers is 17
The difference of those same two numbers is 3
Find the two numbers
Graph the equations, and determine your answer by marking the point of intersection

Answers

The numbers are 10 and 7

X = 10
Y= 7

X + Y = 17
X - Y = 3

The two numbers are 7 and 10 whose sum is 17 and whose difference is 3.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that the sum of two numbers is 17 and the difference of those same two numbers is 3.

We need to find those two numbers.

Let x and y are the two numbers.

Sum of two numbers is 17

x+y=17..(1)

Difference of two numbers is 3

x-y=3..(2)

From equation 1,

x=17-y

Now substitute this in equation 2.

17-y-y=3

17-2y=3

17-3=2y

14=2y

Divide both sides by 2

y=7

Now add y value in equation 1

x+7=17

Subtract 7 from both sides

x=10

Hence, the two numbers are 7 and 10.

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If the integers 12, -6, 8 , -5, 7, -9, -11 are marked on the number line, the
number that comes on the extreme left is ________.

Answers

Answer:

The number that'll come on the exreme left will be the smallest negative integer among 12, -6, 8 , -5, 7, -9, -11 which will be - 11.

[tex] \infty \infty [/tex]

Help please. Number 3 or 4!

Answers

Answer:

3

Step-by-step explanation:

15% of 35 with explanation pls

Answers

Answer:

5.25

Step-by-step explanation:

15% of 35 = 35 times 15% = 35 × 0.15 = 5.25

Which expression has the greatest value?
16
V162
✓642
84

Answers

It is option C......
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