Mathematics College

A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 28
stores this year shows mean sales of 64 units of a small appliance, with a standard deviation of 13.8 units. During the same point in time last year, an SRS of 28 stores had mean sales of 48.958 units, with standard deviation 15.4 units. An increase from 48.958 to 64 is a rise of about 24%.

1. Construct a 99% confidence interval estimate of the difference μ1−μ2

μ1−μ2, where μ1 is the mean of this year's sales and μ2 is the mean of last year's sales.

(b) The margin of error is

2. At a 0.01 significance level, is there sufficient evidence to show that sales this year are different from last year?

Answers

Answer 1

Answer:

Confidence interval = (4.61972, 25.46428)

Margin of Error = 3.9078675

Step-by-step explanation:

Given that :

This year:

Mean (μ1) = 64

Standard deviation (s1) = 13.8

Sample size (n1) = 28

Last year:

Mean (μ2) = 48.958

Standard deviation (s2) = 15.4

Sample size (n2) = 28

99% confidence interval estimate of the difference μ1−μ2

α = 1 - 99% = 0.01

(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)

t0.01, 27 = 2.770683 (t value calculator)

√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675

(64 - 48.958) ± 2.667(3.9078675)

15.042 ± 10.42228

(15.042 - 10.42228), (15.042 + 10.42228)

(4.61972, 25.46428)

The margin of error :

√(s1²/n1) + (s2²/n2)

√(13.8^2/28) + (15.4^2/28)

√(6.8014285 + 8.47)

√15.2714285

= 3.9078675

Related Questions

You move up 3 units and left 3 units. You end at (-2, 0). Where did you start? Plz help

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Answer:

-1, 3

Step-by-step explanation:

3 units up and 3 units to the left should work on 1,-3

(1,-3). If your new point is at (-2,0) you would move down 3 and right 3 to find the original point.

Necesito ayuda con una Integral por sustitución trigonométrica, Por favor!

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Answer:

1/4xdarctan(2/7x)+C

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Answer:

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Step-by-step explanation:

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The answer is 67 says google

what is 25 divided by 7 expressed as a mixed number

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The answer to this problem is 3 4/7. :)

The stem-and-leaf plot shows the ages of people at a family reunion.

Stem Leaf
0 1 3 3 5 6 8 9
1 1 2 3 5 9
2 0 1 2 9
3 0 0 1 2 5
4 4 5 8
5 0 1 6 7
6 1 3 5 5 7
7 0 2 5
Key: 3 | 5 = 35 years old

How many people at the family reunion are not adults (under the age of 18)?

There are
people at the family reunion who are not adults.

Question 2
How many people at the family reunion are over the age of 65?

There are
people over the age of 65.

Answers

Answer:

1) 11

2) 4

Step-by-step explanation:

1) It is 11 because in the first row we ignore the 0 since it is referring to the first digit, so the first row has 7. In the second row, we ignore the one so it would be 4 because the 9, or would be 19, is above 18.

2) It is 4 because there is one person over 65. In the second row we ignore the 7 and there are 3 people in the 7 row.

Can someone help me with this?

Answers

Plug in 5 for x
4(5) = 4 * 5 = 20

Answer:

Step-by-step explanation:

4x. x=5

4*5 20

Hope this helps hit the crown :D

n= 101
p= 0.24
p(0.20 < p <0.30) =

Answers

Answer:

N = 101

p = 0.24

p ( 0.2 ) < p < 0.3

Step-by-step explanation:

28 students travel on a field trip. They bring a van that can seat 12 students

Answers

Answer:

16 students will not be riding in that van today

Answer:16 students would be left behind or they would have to get another bus with 4 students in one bus

bus 1 =12 kids bus2=12 kids bus 3=4 kids

Step-by-step explanation:

What additional information could be used to prove that triangle XYZ is congruent to triangle Fe.g. using asa or aas check all that apply

Answers

i hope this was able to help!!

answer: Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS. we need only one angle and side.

Answer:

its the first one and the last one ..that's the answer.

A wire of length $100 cm is bent into a rectangle. If the length of the rectangle is $10 cm more than its breadth, find the area of the rectangle.

Answers

Answer:

the answer is equal to $1000cm

Help someone that knows

Answers

For the question I think it would probally be A :)

600:450 and 4:3 why is it equivalant

Answers

Answer:

600 ÷ 4 = 150

450 ÷ 3 = 150

The same thing either way.

They are considered proportional ratios

Because 600:450 is the same as 4:3 because divide 600 by 150=4
And 450 divide by 150=3 which makes them equivalent

3) The measure of the angle which is equal to its supplement is

Answers

Answer:

Step-by-step explanation:

90 degrees

x + y = 180

x = y

x + x = 180

2x = 180

x = 180/2

x = 90

Both the angle and its supplement = 90

How would I do this?

-8 -x = x -4x

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Answer:

Step-by-step explanation:

yw72wo9838388382828228

I need help ASP Jason bought a video game for $60.00. He sold it for $72.00. What was the percent of the markup?

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I believe he made a 17% profit

you have a bill of $56.40.find a 20% tip?

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Answer:

11.28

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which expression is equivalent to 6 (a minus 3)?

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Answer:

6a-18

Step-by-step explanation:

Please help and explain.

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Answer:

Domain: All real numbers greater than or equal to 1.

Step-by-step explanation:

Answer 1: -14 is not in the domain

Answer 2: 4 is included in the domain

why is it important to know whether a number is positive or negative

Answers

its good to know if a number is positive or negative because something as simple as forgetting the signs such as - + could drastically change your answer

If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?

Answers

Answer:

If you subtract 4 from a, it will be greater than b

Step-by-step explanation:

Ok, so in order to solve this, it would be easier to substitute (a,b) into the equation:

b>a-4

Ok, next, you just have to work out each individual question to see which one is incorrect. You can immediately know it is the first one, and this is because we know that B is larger in this equation, but the problem says that subtracting 4 from a would be greater than b. This is incorrect, b is greater than 4-a, so the top left would be your answer.

Hope this helps!

Will give brainliest if u help!!! Thank you!

Answers

so the slop intercept equation is y= mx+b, so you take the 1/2x and plot it on the X axis. then since the slop is 1, you go over one, up one. and then that is how you graph the equation.

Jill purchased 50 game points
at the arcade for $20. If he
wanted to buy 250 game
points, how much would he
spend?

Answers

Answer:

He would spend 100 dollars :)!

100 dollars he would spend for 250 game points

Write an equation in Slope-Intercept Form for a line that passes through (2, 2) and (0, 3).

Answers

iduusuufbjsdyzjvuehjddhjdik

reflection across y= -x

Answers

Answer:

option A) is correct.

Step-by-step explanation:

As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.

So the formula about the reflection across [tex]y=-x[/tex] will be:

(x, y) ⇒ (-y, -x)

From the graph, the vertices of the triangle are:

Vertex U = (-5, -2)Vertex T = (-3, -3)Vertex V = (-5, -5)

As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:

(x, y) ⇒ (-y, -x)

U(-5, -2) ⇒ (-y, -x) = U' (2, 5) T(-3, -3) ⇒ (-y, -x) = T' (3, 3) V(-5, -5) ⇒ (-y, -x) = V' (5, 5)

So, the vertices of U', T' and V' will be:

U' (2, 5) T' (3, 3) V' (5, 5)

Therefore, option A) is correct.

Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units.

Answers

Answer:

1.L=4;W=3;P=14

2.L=6;W=2;P=16

3.L=12;W=1;P=26

Step-by-step explanation:

because i know

The heights of women in the USA are normally distributed with a mean of 64 inches and a standard deviation of 3 inches.

Required:
a. A random sample of six women is selected. What is the probability that the sample mean is greater than 63 inches?
b. What is the probability that a randomly selected woman is taller than 66 inches?
c. What is the probability that the mean height of a random sample of 100 women is greater than 66 inches?

Answers

Answer:

(a) 0.2061

(b) 0.2514

Step-by-step explanation:

Let X denote the heights of women in the USA.

It is provided that X follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.

(a)

Compute the probability that the sample mean is greater than 63 inches as follows:

[tex]P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z<0.82)\\\\=0.20611\\\\\approx 0.2061[/tex]

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.

(b)

Compute the probability that a randomly selected woman is taller than 66 inches as follows:

[tex]P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z<0.67)\\\\=1-0.74857\\\\=0.25143\\\\\approx 0.2514[/tex]

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.

(c)

Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

[tex]P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0[/tex]

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.

GUYS, I GOTM 1MILLIO0N DOLARS IN THE STOCK MAARKAT HOW MUCH IS 1 MILLION DOLLARS IN NE GOTIABLE US CUERENCY CONVERTED TO RUSSIAN RUBELS????/// PLS ILL GIV BRANLEST!11

Answers

Hi! I believe your answer is 77,435,300.00 Russian Rubles, which is equivalent to 1,000,000 U.S. dollars. I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

76,922,200.00 RUB

Step-by-step explanation:

wow how in the heck did you do that 0-o your rich dude pls explain how u did it T-T

Plz I REALLY NEED HELP
A drawing on a transparency is 6.5 inches wide and 3 inches long. The width of the image of the drawing projected onto a screen is 13 feet. How long, in feet, is the drawing on the screen?

Answers

6inches long on the screen

I need to know the answers please

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It is 180 - 65

Which is 115 which would be your answer

I believe 115 is also the answer

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could someone proofread, judge, and help me come up with a title for my descriptive 9/11 essayWhere is it? I asked myself when I was looking for my cloudy-white uniform. Alexis honey, did you put it on with my clothes? My wife Clara who had beautiful leafy eyes and syrup colored hair questioned me. Ill check I went and checked but only her clothes were hers. This is the first time Im going to be late. I felt my stomach turning and twisting like when a baker kneaded the bread while my head started to spin as if I were in a washing machine. I am sure that they wouldnt mind. I started biting my lips, knowing they would mind. If I went without a uniform they would fire me so I have to get one. Then I remembered. I could ask my buddy Carl since he always has a spare and he wouldnt let me down. I ran over to his house and got there to knock on his door. When Carl opened the door he looked like all of his life was taken out of him with baggy eyes and bloodshot eyes. What can I do for you Carl asked while rubbing his eye.Carl you need to sleep more- I started with a lecturing tone. Ill be fine. he assured me. The atmosphere turned awkward. Why did you come here? breaking the dreading silence I wanted to come here just to ask if you had a spare uniform that I could wear. Yea I do Ill go get it. Thanks Carl I said. Carl threw me a uniform. Can I go change in here, so we could you know, go to work together Alright Once I got changed and he did we both left. My girlfriend texted me that she was on the top floor at work and the view was wonderful. It is a beautiful sight. Once Carl and I arrived we were both a couple of minutes late. Ill see you at the top is what I said not knowing what will happen next. After a couple of minutes I saw something. It looked like a plane that was coming toward us. My stomach started to get tangled up like earbuds if you arent careful. Everyone looked and started screaming and running away. I threw myself out of the building. Did Carl make it? I didnt see him. My girlfriend texted me. Are you ok? I texted her reassuring her that I was fine but I didn't know about Carl. Some time has passed but I didnt see him. I was going to go inside to get him but then another plane crashed. It was the South Tower. My girlfriend wasnt going to make it. It would be impossible. I started crying but then I saw the South tower crash. I started running. The streets started being consumed by debris. I had made it, but no one that I knew of survived. Jacinta is learning about the chemicals involved in breathing. Oxygen gas, water vapor, and carbon dioxide are all compounds formed by the chemical reactions between nonmetal elements. Which statement can Jacinta correctly make about the chemical properties of nonmetals. A. Many nonmetals react with both metals and nonmetals. B. Nonmetals are poor conductors of heat and electricity. C. Many nonmetals are gases at room temperature. D. Nonmetals react only with other nonmetals. Which of the following shows 4x+23+7x-12+y in simplest terms def list_length(shrinking_list): ''' A recursive way to count the number of items in a list. ''' if shrinking_list Why would hawaii have military significance for the united states? 20 secs : 2 mins ratios Why was Sacagawea important to the success of the Lewis and Clark Expedition? Check all that applyShe served as a guide through the territory.She assisted in the reopening of the Port of Orleans to American traders.She helped translate and conduct trade with American Indians.She helped keep the peace with other American Indian tribes.She helped to negotiate the sale of the Louisiana Territory, Which of the following is an arithmetic sequence with common difference 2 Solve for y: 4(y + 1) - 8 =4y + 13 What percentage is 14 of 28? *75%60%50%45% The ____ basketball team won the state championship Use this picture and help please Simplify.(8) = 81DONE Why is the Mughal Empire a good example of the nature of history? Which label identifies the part of the ATP molecule that changes when energy is released in the cells of all livingthings?B P AABC Go to the roller coaster simulation and click on the launch button. Pay attention to the pie chart as the roller coaster moves and fill in the blank. Be sure to keep this website open because there will be several questions related to it. The kinetic energy as the roller coaster goes downhill. 2/3p+3. p=3/5What is the Answer to what Moonlight is really ____________ being reflected What is the surface area of the cylinder?175 ft2224 ft2273 ft2126 ft2 Solve -11h 27 16h for h.