Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.73 million households with a sample standard deviation of 0.46 million family units. Over the same 12 months Spotify was used by an average of 2.17 million families with a sample standard deviation of 0.33 million. Assume the population standard deviations are not the same. Using a significance level of 0.01, test the hypothesis of no difference in the mean number of households picking either service.

Answers

Answer 1

Answer:

There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

Step-by-step explanation:

The parameters of the music streaming service are;

The average number of households using Apple Music, [tex]\overline {X}_1[/tex] = 1.73 million

The standard deviation, σ₁² = 0.46 million

The average number of households using Spotify, [tex]\overline {X}_2[/tex] = 2.17 million

The standard deviation, σ₂² = 0.33 million

The significance level = 0.01

Hypothesis testing with different population standard deviation

[tex]Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }[/tex]

H₀: [tex]\overline {X}_1[/tex] ≠ [tex]\overline {X}_2[/tex]

H₁:  [tex]\overline {X}_1[/tex] = [tex]\overline {X}_2[/tex]

[tex]Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923[/tex]

p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714

Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis

We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service


Related Questions

what is the slope of (4,7) (9,7)?! please help i tried omni and it didn't give me an answer

Answers

Answer:

0

Step-by-step explanation:

Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1

Answers

Answer:

A

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

What is a circle?

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.

Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,

The equation of the circle =

(x - 3)² + (y - 7)² = 2

The standard equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

Comparing both we get,

(h, k) = (3, 7)

r² = 2

r = √2

Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

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655,325 to the nearest hundred thousands

Answers

Answer:

700,000

Step-by-step explanation:

55,325 is closer to 100,000 than it is to 0, so the hundred-thousands place would round up.

Answer:

655,325

Step-by-step explanation:

Im pretty sure it would just stay the same because 3 is not enough to bring the 5 up to 6.

5 tons of compost cost $6,300.00. What is the price per pound?

Answers

Answer:

300 , is the answer

Step-by-step explanation:

Working together, two copy machines can finish a copy job in 3 minutes. The slower copier can finish the job in 12 minutes. How many minutes would it take for just the faster copier to finish the job?​

Answers

Answer:

4 minutes, because in 3 minutes, the slower copier has done 1/4 of the job (at a 12 minute pace ). That means that during the same 3 minutes, the faster copier did 3/4 of the job.

So the faster copier is on pace to complete the entire job in 4 minutes (3 X 4/3).

Step-by-step explanation:

please help me with this math wuestion

Answers

Answer:

A) 3 1/4

Step-by-step explanation:

x+1/2 = 3 3/4

x = 3 3/4 - 2/4 = 3 1/4

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radius of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104

Answers

The radius of the circle is 8 inches when the sector of a circle has an area of 104pi/9 square inches.

What is a sector of a circle?

A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

Which is the radius of a circle?

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

Area of a sector = [tex]\frac{\theta}{360} \pi r^2[/tex]

[tex]\text{Given area = }\frac{104\times \pi}{9}=\frac{65}{360}\times \pi r^2\\\\\frac{104}{9}=\frac{65}{360} \times r^2\\\\r^2=\frac{37440}{585}\\\\r=8.001[/tex]

Hence, option b is correct, that is the radius of the circle is 8 inches.

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6=2(y+2)
I. Don’t get it

Answers

Answer:

1

Step-by-step explanation:

6=2*y+4

6-4=2*y

2=2*y

y=2/2

y=1

Could someone help me with this

Answers

Answer:

try to do this formula

XYZ

= X times Y times Z

Consider a savings account earning annual compound interest with no additional deposits or withdrawals made after the initial deposit. The balance in the account after x years can be modeled by the function s(x) = 2.000(1.045) Which statement is the best interpretation of one of the values in this function? A) The initial balance of the account is $2,000. B) The balance in the account at the end of one year is $2,000. The initial balance of the account increases at a rate of 104.5% each year. D) The initial balance of the account decreases at a rate of 4 5% each year.​

Answers

Answer:

The initial balance of the account is $2,000.

Step-by-step explanation:

I took the test on usa test prep

Answer:The initial balance of the account is $2,000.

f(x) = abx, where a = initial value, b = change factor, and x = time period.

A piece of land in north county is a parallelogram with a base that is four more meters than eight times the height, h. Which of the
following represents the area of the land?
A. A(n) = 8h2 + 32
B.
A(h) = 8h2 + 4
C. A(h) = 4h2 + 8h
D.
A(n) = 8h2 + 4h

Answers

Answer:

D

Step-by-step explanation:

C = ?
when d = 25 m.
(C = circumference)
(d = diameter)

Answers

Answer:

12.5m

Step-by-step explanation:

I don't wanna type it lmco (laughing my cheeks off)

Treven puts 8 gallons of gas in his car air pays $22.00 what is the cost of 1 gallon of gas complete the table

Answers

Answer:

the cost of each gallons is 8÷22.00=$36

What is the value of x in the figure above? Assume ↔B and ↔C are parallel.

Answers

Answer:

x=4

Step-by-step explanation:

180-58=26x+18

122=26x+18

122-18=26x

104=26x

4=x

1.5x= 3 help me I don't know what this means

Answers

Answer:

x = 2

Step-by-step explanation:

simple

just divide 3 by 1.5 to get x

3 / 1.5 = 2

so

x = 2

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

The probability of getting a red gumball from a gumball machine is 1/8. The probability of getting a red piece of candy from a candy machine is 1/6. If both a gumball and a piece of candy are purchased, what is the probability that both are red?

Answers

Answer: 1/48

Step-by-step explanation: equation: 1/8x1/6

you have to multiply both numerators together (1x1)=1  then you multiply the denominators together (8x6)=48. you can't simplify it so your answer is 1/48

The table shows the average distance in yards of the tee shots of several professional golfers and their accuracy as percentages of landing golf ball in the fairway. what does the correlation coefficient for the data indicate about the strength of the linear association between the average distance of a tee shots in the accuracy of the golf ball landing in the fairway ?

Answers

Answer: strong negative correlation

Step-by-step explanation:

Taking the test

question plz helpppppppppp

Answers

Answer:

the answer is 38.25

Step-by-step explanation:

45-15%

=38.35

Answer:

$6.75

Step-by-step explanation:

To solve any percent problem, u can use the equation part         %

                                                                                           -------   =   ---

                                                                                         whole       100

(the lines are fraction bars btw, when u right out the problem, write it as fractions)

In this problem, the whole is 45, because that is the original, or whole price. The % is 15, because u want to find 15%. The part would be x, because that's what u want to find. Cross multiply, so ur problem should look like this:

100x = 675.

Then, divide 675 by 100 to get x = 6.75.

So Natalie saves $6.75.

hope this helps!

The slope of a linear function is 1/5. For every rise of 5 units, what is the run?

Answers

Answer:

for every rise of 1 the run would be 25

Sylvester spends a total of $1725 for Common and preferred shares. He has purchased $975 worth of preferred.

Answers

Answer:

750

Step-by-step explanation:

The answer is $750.00

What is the area enclosed by the curves???

Answers

the x and y axis
i think
It is 1/2 for sure , look at the photo

Find the factors of following:
(i) 8x^2 yy

Answers

Answer:

i•8xy^2yz

Step-by-step explanation:

Remove unnecessary parentheses

Answer:

i) 8x^2 yz=2×2×2×x×x×y×z

help asap i will get yelled at =( this is going to give yoyu 42 points

Answers

Answer:

24+24=48

Step-by-step

24+24=48

Answer: first pic: true. second pic: is D. third pic: false. forth pic: C.

Step-by-step explanation:

what is the following sum

Answers

Answer:

2nd option is the correct answer

[tex] 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]

Step-by-step explanation:

[tex]3 {b}^{2} \bigg( \sqrt[3]{54a} \bigg) + 3 \bigg( \sqrt[3]{2a {b}^{6} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{27 \times 2a} \bigg) + 3 \bigg( \sqrt[3]{2a {( {b}^{2} )}^{3} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{ {3}^{3} \times 2a} \bigg) + 3 \bigg({\sqrt[3]{{( {b}^{2} )}^{3}2a} } \bigg) \\ \\ = 3 {b}^{2} \times 3 \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 9 {b}^{2} \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]

Answer:

second option:  12b²(∛2a)

Step-by-step explanation:

you can break [tex]\sqrt[3]{54a}[/tex] into [tex]\sqrt[3]{3^3(2a)}[/tex] which equals 3[tex]\sqrt[3]{2a}[/tex]

you can break [tex]\sqrt[3]{2ab^6}[/tex] into [tex]\sqrt[3]{2ab^3b^3}[/tex] which equals b²[tex]\sqrt[3]{2a}[/tex]

now we can simplify: (3b² ·  3[tex]\sqrt[3]{2a}[/tex]) + 3b²[tex]\sqrt[3]{2a}[/tex] = 9b²[tex]\sqrt[3]{2a}[/tex] + 3b²[tex]\sqrt[3]{2a}[/tex]

this equals 12b²[tex]\sqrt[3]{2a}[/tex]

Let y = x² In(x).
dy/dx the lesson is differentiate products​

Answers

Answer:

dy/dx = x(1+2lnx)

Step-by-step explanation:

Given y = x² In(x).

dy/dx = Udv/dx + Vdu/dx

Let U = x², V = lnx

du/dx = 2x

dv/dx = 1/x

Substitute into the formula;

dy/dx = x²(1/x) + lnx(2x)

dy/dx = x + 2xlnx

dy/dx = x(1+2lnx)

Help pls!! I need help!!

Answers

Answer:

what u need help wt?

Step-by-step explanation:

Help plz....................

Answers

Answer with  explanation:

y+1 = 26     ;      y = 26-1 = 25

x-2 = 19           ;    x = 19+ 2 = 21

I hope im roght!!

The measure of the interior angles of four refusal

Answers

Answer:

B) 180(n-2)

Step-by-step explanation:

B) 180(n-2)

24j - 9 Factor the following expression using GCF

Answers

Answer:

See it and do it

Follow please

The arrow shown is on a sign. What is the area of the arrow? Plz

Answers

Answer:

61 inches squared

Step-by-step explanation:

find the area of the rectangle then the area of the triangle and add.

Answer:

61 in²

Step-by-step explanation:

first u work out the rectangle. so u do 4 times 10 which is 40 . then u do 1.5 plus 1.5 plus 4 which equals 7 . then u do 7 times 6 which is 42 . 42 two divide by 2 = 21 . 21 plus 40 equals 61. answer 61.

area of triangle: base times height divide by 2 .

to work out area of rectangle : 4×10=40 in²

1.5+1.5+4= 7 in

area of triangle: 7×6=42 then divide by 2 = 21 in²

plus them to get the area of arrow : 21+40=61 in²

hope this helps. give brainliest and like this . rate it and follow me . amd I will follow u back and help u more

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