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

13 The Lozano's chartered a boat over the holiday
weekend. The cost for the day was $350 plus the
6.5% sales tax. They also decided to tip their
guide 25% of the original cost of the boat rental.
What is the total amount they paid?

Answers

Answer:

$460.25

Step-by-step explanation:

350 + .065(350) + .25(350)

= 350 + 22.75 + 87.5

$460.25

What is the quotient of 1,275 divided by 5

Answers

Answer:

225

Step-by-step explanation:

1275 / 5 = 225

I know this because five can go into the 1275 225 times

Answer:255

Step-by-step explanation:

I’m not completely sure what your asking but 1275 divided by 5 is 255

please could i have help with this i get 336m and its not one of the choices

Answers

Answer:

a. 30 m

I hope it helps....

Answer:

30m

Step-by-step explanation:

[tex]18m^{2}[/tex]/m + 4m(3)

= [tex]30m^{2}[/tex]/m

= 30m

Hope it helps,

Please mark me as the brainliest

Thank you

Stella is writing an essay and is able to write 2 pages in 16 minutes
2=16
?=32
5=?
20 POINTS TO WHO ANSWER

Answers

2=16
4=32
5=40

pattern is x8

look at pic
14 points

Answers

Answer:

The Second One I Think

Step-by-step explanation:

By what I understand that would be the one that is in standard form

4. What is the circumference of a circle whose area is 81π cm squared?

Answers

Area = pi*r^2
Circumference = 2pi*r

Step 1: find the radius from area
81pi=pi*r^2
81=r^2
9=r

Step 2: plug in radius to the circumference equation

Circumference = 2pi*r

18pi is the answer, otherwise know as 56.52 as well.

Step-by-step explanation:

Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr

How many }2 /3 cups servings are in a 4 cup container of food?

Answers

Answer 83

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4 /  [tex]\frac{2}{3}[/tex] = 6

Write the slope of a line that is parallel to the following line:

Answers

Answer:

y = 1/5x + 3

Step-by-step explanation:

To have a parralel line to another line, have the slopes of the lines be the same, just change the y- intecept. HOPE THIS HELPS!

Show how you found the slope and y-intercept

Answers

Answer:

Slope: [tex]\frac{5}{2}[/tex]

y-intercept: 0

Step-by-step explanation:

First, find the slope. Use two points given to you. In this case, I will use the following:

(x₁ , y₁) = (2 , 5)

(x₂ , y₂) = (4 , 10)

Use the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in the corresponding numbers to the corresponding variables:

slope (m) = [tex]\frac{10 - 5}{4 - 2}[/tex] = [tex]\frac{5}{2}[/tex]

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Plug in the slope into m for the equation:

[tex]y = \frac{5}{2} x + b[/tex]

Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:

[tex]5 = \frac{5}{2}(2) + b[/tex]

Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

[tex]5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0[/tex]

Y-intercept: 0

Can you please explain Number 7 with steps

Answers

Answer:

this is not exact because i Estimated the square root of 33

Step-by-step explanation:

Answer this correctly with an explanation I’ll give u brainalist + 10 points

Answers

Answer:

option D

Step-by-step explanation:

Angle ADF and Angle FDE

ADF+ FDE

Answer:

D

Step-by-step explanation:

An angle measures 60 degree it is divided into 5 angles with equal measures. What is the measure of those angles

Answers

Answer:

Each part of the angle would measure 12 degrees

Step-by-step explanation:

round the number 24.9652 to 1 decimal place

Answers

Answer: 25.0

Step-by-step explanation:

25

Answer:

25

Step-by-step explanation:

0.06 rounds up into the .9 which is now a 1

in a classroom 1/6 of the students are wearing blue shirts and 2/3 of wearing white shirts there are 36 students in the class how many students are wearing blue shirts​

Answers

Answer:

6 students are wearing blue shirts

Step-by-step explanation:

you divide 36 by 6 and that equals 1/6 of the students.

If y = 0.5x + 1 and x = 2, what Is y?

Answers

Answer: 2

Explanation:
y = 0.5x + 1
y = 0.5(2) + 1
y = 1 + 1
y = 2

Which phrase best describes the relationship indicates by the scatter plotting?​

Answers

Answer:B

Step-by-step explanation:

Please please help help

Answers

the answer is 17 because that’s how many players ran over 1 score

Answer:

17 players

Step-by-step explanation:

6 people scored 2

8 people scored 3

3 people scored 4

The math department recently purchased new learning software for their freshman math classes. The instructors want to use the learning software instead of a textbook. So they decide to study the effectiveness of the software. First they test the skills and concept mastery for a number of the freshman math students. Then they randomly divide the students into two groups. One group uses the learning software for a particular lesson and the other group uses the regular textbook. Then the instructors retest all of the students and compare the improvement in the skills and concept mastery for the two groups. What is the purpose of random assignment in this experiment? Check all that apply.

Answers

Options :

A.) To avoid bias

B. To control for confounding variables

C. To produce treatment groups with similar characteristics

D. To generalize the experiment results to all freshman math students

Answer:

To avoid bias

To generalize the experiment results to all freshman math students

Step-by-step explanation:

One of the most common problems with statistical experimental research is the issue posed by bias. Either selection bias or assignment bias. Bias creeps into our experiment when one experimental group is more favored than the other. This means that the strategy employed is not totally random. In the experimetal design explained above, students were randomly assigned to group in other to avoid bias. This random assignment ensures that all samples have equal probability of being assigned to any of the two groups.

Randomized experimental designs also allows for making a good estimate of the population parameter fromnthe sample statistic

Please help
A 136
B 208
C 352
D 576

Answers

I believe it’s C. Have a good day. Hope this helps.

Answer im not in grade

Step-by-step explanation:

Can someone please help

Answers

Answer:

5y + 8

and

8y +5 are the same solutions.

PLZZZ HELP ME I DON'T GET THISq

Answers

Answer:

Step-by-step explanation:

To distribute means to multiply everything outside the parenthesis with everything inside the parenthesis, so in this case 7x8 then 7(x) then 7x2 so that is equal to 56 + 7x + 14, so combine the 56+14 so we get 7x + 70.  I hope '7' is part of the problem and not the question number

Answer:

7x + 70

Step-by-step explanation:

As implied in the question, when you use the distributive property you need to distribute the factor outside the parenthesis to the ones inside the parenthesis.

When we look at 7(8+x+2)

You need to multiply all the factors inside the parenthesis by the 7 outside the parenthesis.

to break it down, do

7*8 = 56

7*x = 7x

7*2 = 14

From here, just add 56+14 to get 70 and then write out your answer as 7x + 70.

Between what two days was the Increase in texting the largest?


Wednesday to Thursday
Friday to Saturday
Sunday to Monday
Thursday to Friday
Help please

Answers

thursday to friday
hope that helps xxo

Answer:

Thursday to Friday

Step-by-step explanation:

as its the greatest in size and the biggest

Hope it helps XD


A store is advertising a 40% off sale. Find the new price of a pair of boots that were originally marked $149.00.

Answers

Answer:

89.4

Step-by-step explanation:

Okay well if  149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4

149*0.60=89.6

AE←→ is a straight line in the diagram.



What is the sum of the measures that represent the measures of each angle if m∠ABC=2x°, m∠CBD=3x°, and m∠EBD=4x°?

What is the measure of each angle?

Explain how an equation can be written to find m∠CBD.

Answers

Answer:

hwqvh bjvs bhs ebf

Step-by-step explanation:

In the diagram shown , CD =7,DB=8, AE=5,m

Answers

Answer:

.

Step-by-step explanation:

Answer:

I don't understand the question

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature, b or c

What type of number is v5?

Choose all answers that apply:

1. Whole number
2. Integer
3. Rational
4. Irrational

PLEASE HELP ME ILL GIVE 10 POINTS

Answers

The square root 5 is irrational because a square root of a positive number is either an integer or irrational number. Therefore it is irrational.

A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300. Represent the data using matrices and use matrix multiplication to find the total revenue.

Answers

me Q i did not know somebody Help My frann

Does this graph represent a function? Why or why not?
-10 -884
O A. Yes, because it passes the vertical line test.
O B. Yes, because it passes the horizontal line test.
C. No, because it is not a straight line.
D. No, because it fails the vertical line test.

Answers

I think the correct answer is A

A locker door is 13 inches wide by 27 inches tall. A company will use a scale factor of 2.5 to change the dimensions
of the door. What will be the new height of the locker door?

Answers

Answer:67.5

Step-by-step explanation:The question asked the HEIGHT. So multiply the scale factor (2.5) and the inches tall (27).

Which graph shows a linear function?

Answers

Answer:

None of the above...

Step-by-step explanation:

The first one is a cubic function and the v-shaped one is an absolute value function.

Answer:

It is the 2nd graph. The graph that passes through x=3 and y=3.

Step-by-step explanation:

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