A streaming music site changed its format to focus on previously unreleased music from rising artists. The site manager now wants to determine whether the number of unique listeners per day has changed. Before the change in format, the site averaged 131,520 unique listeners per day. Now, beginning three months after the format change, the site manager takes a random sample of 30 days and finds that the site now has an average of 124,247 unique listeners per day. Using the data provided below, calculate the p-value for the following hypothesis test:
H0:μ=131,520
Ha:μ≠131,520
Listeners after change
125,020
139,250
101,590
94,800
83,700
84,380
139,170
89,380
91,410
139,570
138,980
102,710
124,600
144,770
156,920
131,100
140,020
139,250
118,800
128,380
168,370
133,140
106,930
129,630
120,820
125,250
122,860
122,500
135,230
148,870

Answers

Answer 1

Answer:

The p value is: 0.0301

Step-by-step explanation:

Given

[tex]\mu = 131520[/tex]

[tex]\bar x = 124247[/tex]

[tex]n = 30[/tex]

Required

Determine the p value

First, calculate the standard deviation of the given data.

This is calculated as:

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(83700 - 124247)^2 + (84380- 124247)^2 + (89380- 124247)^2 + ..... + (156920- 124247)^2 + (168370- 124247)^2}{30}}[/tex]

[tex]\sigma = \sqrt{\frac{13427820070}{30}}[/tex]

[tex]\sigma = \sqrt{447594002.333}[/tex]

[tex]\sigma = 21156[/tex]

The test statistic is then calculated as:

[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]

[tex]t = \frac{124247 - 131520}{21156/\sqrt{30}}[/tex]

[tex]t = \frac{-7273}{21156/5.48}[/tex]

[tex]t = \frac{-7273}{3860.58}[/tex]

[tex]t = -1.88[/tex]

The p value is calculated as:

[tex]P(Z > -1.88)[/tex]

[tex]P(Z>-1.88) = 0.030054[/tex]

[tex]P(Z>-1.88) = 0.0301[/tex] --- approximated.

Hence, the p value is: 0.0301


Related Questions

John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
Find their ages.

Answers

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

Write the ratio for tan A.
A
25
22
B

Answers

Answer:

list

tan (A)=

A=

25=

22=

B=

Step-by-step explanation:

What is the decay factor in the exponential decay function y=a(1−r)^t

Answers

Answer:

(1 - r)

Step-by-step explanation:

Given function:

y = a (1−r)^t

Here we have:

y - future value, a- present value, (1 - r) - decay factor, t- number of decay periods

A cube with sides that are 2 cm has a mass of 48 g and its density would be
___________ g/cm3.

Answers

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: [tex]{p} \frac{m}{V}[/tex]

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

please help me! yah thats all i just need help

Answers

Answer:

WT=63

Step-by-step explanation:

[tex] \frac{56}{5 \times x + 3} = \frac{40}{4 \times x - 3} \\ x = 12[/tex]

So

[tex]5 \times x + 3 = 5 \times 12 + 3 = 63[/tex]

How can you Divide the number 30 into 4 equal parts? Or can you?

Answers

Answer:

7.5

Step-by-step explanation:

thirty divided by 4 is 7.5 or 7 1/2

Answer:

That might be possible though.

Step-by-step explanation:

If you divide 30 by 7.5, you'll get 4. With any other number, you'll get 3,10,6,5,1, and 30. If you use a decimal, it might be possible it'll give you the answer you wanted.

What is the sum?
3
4
3x+4
****
О.
3x+4
o
7
xxx



HELP please 52 minutes left !!!!!!

Answers

Answer:

c. [tex] \frac{3x + 4}{x^2} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]

Required:

The sum

Solution:

[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]

Common denominator is x².

Therefore, divide x² by the denominator of each fraction and multiply by each of its denominator.

Thus, we would have:

[tex] \frac{3x + 4}{x^2} [/tex]

HELP find the area of the triangle I’ll mark brainest

Answers

Answer:

31.5 units.

Step-by-step explanation:

Area = BC * distance from BC extended to A/2

A to BC extended and the line is vertical from A to BC extended = 7+2 units

A to BC extended and the line is vertical from A to BC extended = 9 units This becomes the height

h = 9 units

BC = 7 units

Area  = 1/2 * h * BC

Area = 1/2 * 9 * 7

Area = 1/2 * 63

Area = 31.5

Really stumped on these 2 problems anybody know anything? "Find the circumference of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for π"

Answers

Answer:

1. 15.7 in

2. 153.9 cm

Step-by-step explanation:

The circumference of a circle is found by the formula:

C = 2 * pi * r, where r represents the radius.

For the first circle, we substitute in 3.14 for pi and the given radius:

C = 2 * 3.14 * 2.5

C = 15.7 in

However, for the second circle, the diameter is given instead of the radius.

As the radius is just half of the diameter, we can find that it is 24.5 cm.

Substituting the values in, we get:

C = 2 * 3.14 * 24.5

C = 153.86 cm

Rounding to the nearest tenth gives us:

153.9 cm

Make sure to use the correct units for each question.

Please help me out with this!

Answers

Answer:

X=9.8

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin33=x/18

X=18sin33=9.8

A watt is a unit of power, which measures energy used per unit time. A kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr. The electric utility company in Laura's town charges $0.06001 for each
kilowatt hour used. Laura heats her house with three electric heaters that each use 1200 watts. How much does it cost to heat a house in one day? How many hours what a 75 watt lightbulb have to stay on to result in one dollar for electricity charges?

Answers

Answer:

It costs Laura $ 5,184.86 to heat her house one day.

A 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

Step-by-step explanation:

Given that a kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr, and the electric utility company in Laura's town charges $ 0.06001 for each kilowatt hour used, and Laura heats her house with three electric heaters that each use 1200 watts, to determine how much does it cost to heat a house in one day and how many hours would a 75 watt lightbulb have to stay on to result in one dollar for electricity charges the following calculations must be performed:

(3 x 1200 x 24) x 0.06001 = X

(3600 x 24) x 0.06001 = X

86400 x 0.06001 = X

5,184.86 = X

Therefore, it costs Laura $ 5,184.86 to heat her house one day.

1 watt = 0.001 kilowatt

75 watt = 0.075 kilowatt

1 / 0.075 = 13.333

1 / 0.06001 = 16,663

13,333 x 16,663 = 222.18

Therefore, a 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

PLEASE HELP!! 100 POINTS Will mark brainliest.

Answers

Answer:

m∠1 = mCD = 40°m∠2 = 1/2(mAB) = 1/2*30° = 15°m∠3 = 1/2(mED) = 1/2*50° = 25°m∠4 = 1/2(mAB + mDE) = 1/2(30°+50°) = 40°m∠6 = m∠OEG - m∠DEG = 90° - 1/2(mDE) = 90° - 25° = 65°m∠7 = 1/2(mCD + mDE) = 1/2(40°+50°) = 45°m∠8 = 1/2(mCD + mDE - mAB) = 1/2(40° + 50° - 30°) = 30°m∠10 = 1/2mAE = 1/2(180° - mDE) = 1/2(180° - 50°) = 65°

Answer:

hope this help you. look it once.

Help plz if u can i would really like it

Answers

Answer:

you would subtract thoose numbers

Step-by-step explanation:

Yea subtract ajshjaksbdbsjsjsnd jansbsjsj

Help! Note: Figure is not drawn to scale.

If m1 = 35° and m2 = 20°, what is m3?
A.
110°
B.
160°
C.
145°
D.
125°

Answers

Answer:

Step-by-step explanation:

Do you not know that a triangle has 180 degrees in total. Pay attention in class geez.

If You write all numbers from 30 to 65 including 30 and 65 how many times would you write the digit 4?

Answers

Answer:

We write 4 times 4 because it includes 34,44,54,64in the data.

You would write 6 times the digit 4.

What are integers?

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given:

You write all numbers from 30 to 65 including 30 and 65.

And in between there are following numbers that have digit 4:

34, 40, 44, 54 and 64.

That means, we wrote 6 times digit 4.

Therefore, digit 4 would be written 6 times.

To learn more about the integers;

brainly.com/question/1768254

#SPJ2

What is the C term in this problem: x^2+3x+2

Answers

Answer:

2

Step-by-step explanation:

Cuz the form is Ax^2 + bx + c

A = 1 (imaginary)

B = 3

C = 2 (same as y-intercept)

how to write 1 896 025
in words​

Answers

Answer:

one million eight hundred ninety-six thousand twenty-five

one million eight hundred ninety-six thousand twenty-five


PLACE VALUE
1- millions place
8- hundred thousands place
9- ten thousands place
6- thousands place
0- hundreds place
2- tens place
5- ones place

Need help ASAP!!!
Solve for the missing angle.

Answers

Answer:

D 56

Step-by-step explanation:

cos x = 5/9

x = 56°

have a great day

Please help I'll give brainliest ​

Answers

This should be 33. Height multiplied by base. 11x6=66 then over 2. 66/2 = 33

Hope it helps you

Have a good day

> Less
All changes saved
12. A brand-new music service is offering specials on individual song downloads. The cost is $0.74 for each
song up to 20 songs per month, and the cost doubles to $1.48 per download for any number of downloads
over 20. How much would it cost to download 28 songs?
> Less
> Less

Answers

Answer:

Downloading 28 songs will cost $26.64.

Step-by-step explanation:

Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:

(20 x 0.74) + (8 x 1.48) = X

14.8 + 11.84 = X

26.64 = X

Therefore, downloading 28 songs will cost $ 26.64.

Review the graph of function g(x).

On a coordinate plane, a graph repeats multiple time with a maximum of (0, negative 2) and minimum of (0, negative 8) near the y-axis. It curves up to (0.5, negative 2) and then curves down through (3, negative 4). It curves down to (negative 0.5, negative 8) and curves up through (negative 3, negative 8).

Esai claims that Limit of g (x) as x approaches 0 is both –2 and –8 because the graph oscillates between these two values.
Kadence claims that Limit of g (x) as x approaches 0 is the average of –2 and –8, which is –5.
Who is correct?

Esai only
Kadence only
both Esai and Kadence
neither Esai nor Kadence

Answers

Answer:

Kadence Only

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You toss a coin 15 times. P( heads) 2/5=

Answers

The answer is

2/5 = 0.4

Because

2/5 2 divide 5 = 0.4

Write and solve an equation to determine the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

<CED = 180 - (9x-8)

= 180 - 9x +8

= 188 - 9x

Angle sum of triangle is 180

.'. (5x-10) + (50) + (180 - 9x +8) = 180

5x -10 + 50 + 188 -9x = 180

-4x = 180 + 10 - 50 - 188

-4x = -48

4x = 48

x = 12

*HELP GIVING BRAINLIEST**

14. The table shows the survey results of exercises
people do regularly.

Which is based on the table

Answers

A B C but not sure if it’s D or E

Answer:

A, B, and E are the correct options.

Step-by-step explanation:

You can see by the table shown, 12+25 people biked (37). The total of people that were surveyed would be 55 (the bottom right of the graph). Twelve people run but don't bike (down the first column to the left). Just follow the graph and you've got your answers!

Question 4 of 10
When the input is x = 3 for the parent function f(x) = x, what is the output?
O A. f(x) = 3
O B. f(x) = -3
O C. f(x) = 0
O D. f(x) = 1

Answers

Answer:

A

Step-by-step explanation:

f(x) = x

x = 3

->

f(3) = 3

A

A. f(x) =3 the first one

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Answers

Answer:

2+2=4

Step-by-step explanation: big brain

The bar graph shows a company’s income and expenses over the last 5 years. Which statement is supported by the information in the graph?

A) The income in Year 5 was twice the income in Year 1
B) The combined expenses in Years 3 and 4 were more than the combined income in Years 3 and 4
C) Expenses have increased each year over the last 5 years
D) The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3

Answers

Answer:

B

Step-by-step explanation:

Kinda hard to explain but I'm pretty sure it's B

A school sold tickets to a musical. The school received $6.50 per ticket sold.
Select the ordered pairs that represent possible combinations of the number of tickets sold and the corresponding total amount of money the school would have received from selling the tickets, if this relatioship was graphed on a Coordinate Plane.

Select all that apply.
A.) 0, 0.00
B.) 2, 13.00
C.) 4, 24.00
D.) 10, 65.00
E.) 12, 68.00

No links plz

Answers

Answer:

A B D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

hope this helps :))))

Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?

Answers

Answer:

2:12

Step-by-step explanation:

The ratio of cups of sugar to cupcakes is equivalent to 1:6.

Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.

What is the ratio?

The ratio is the comparison of two quantities. It is generally represented by a fraction.

2 cups of sugar: 12 cupcakes = 2:12

2:12 = 2/12 =1/6 =1:6

So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

To get more about ratios visit:

https://brainly.com/question/2328454

Help please I’ll mark brainlist
I really needs help pls

Answers

Answer:

Step-by-step explanation:

base of 5   =  5 + 4 + 3 + 2 + 1 = 15

base of 10 =  [tex]n^{2}[/tex]/2 + n/2 = 100/2 + 10/2 = 55

formula  =   [tex]n^{2}[/tex]/2 + n/2

where n is the number of base boxes

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