A research group wants to know if the online platform to play Settlers of Catan is being accessed more after the stay at home order than before it. The mean for number of games started per minute before the stay at home order was 1000. The researchers hypothesize that after the stay at home order, the online platform was accessed more so than before the stay at home order. They set alpha = .05 The mean for number of games started per minute after the stay at home order, was 1378 with a standard deviation of 489. The sample size was 108,000.
a. Given this conclusion, what can you say about the p value of this test statistic?
b. Please calculate the effect size. Is it small, medium, or large?

Answers

Answer 1

Answer:

a) The P-value is 0.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

b) Effect size d = 0.77

Medium.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=1000\\\\H_a:\mu> 1000[/tex]

The significance level is 0.05.

The sample has a size n=108000.

The sample mean is M=1378.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036

The degrees of freedom for this sample size are:

[tex]df=n-1=108000-1=107999[/tex]

This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>254.036)=0[/tex]

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

[tex]d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77[/tex]

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.


Related Questions

PLEASE I NEED HELP!!! FIRST ANSWER IS BRANLIEST!!!

Apply the distributive property to create an equivalent expression. 6(5x-3)

Answers

Answer:

30x - 18

Step-by-step explanation:

6(5x - 3)

Apply the distributive property.

6(5x) + 6(-3)

30x + - 18

Answer:

30x - 18 is your final answer

Not sure how I would solve this

Answers

Answer:

0

Step-by-step explanation:

Using the slope formula

m = (y2-y1)/(x2-x1)

  and the given points

m = ( 2-2)/ ( 3-4)

    = 0/ -1

    = 0

The slope is zero

How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction

Answers

Answer:

[tex]-\frac{8}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}[/tex]

Required

Simpify

The very first step is to take LCM of the given expression

[tex]\frac{-10 -4 - 2}{6}[/tex]

Perform arithmetic operations o the numerator

[tex]-\frac{16}{6}[/tex]

Divide the numerator and denominator by 2

[tex]-\frac{16/2}{6/2}[/tex]

[tex]-\frac{8}{3}[/tex]

The expression can't be further simplified;

Hence, [tex]\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}[/tex] = [tex]-\frac{8}{3}[/tex]

Find the hypotenuse of a right triangle (in cm) if one leg measures 7 cm and the other leg measures 11 cm. Round to the nearest thousandth. ____________ cm

Answers

Using the Pythagorean theorem

Hypotenuse = sqrt( 11^2 + 7^2)

= sqrt( 121 + 39)

= sqrt( 160)

= 12.694

what is -34/15 in decimal form

Answers

Answer:

2.26 repeating

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

hope this helpes

be sure to give brainliest

Need help with question

Answers

Answer:

x-6+x

2x-6=14

2x=20

x=10

Answer:

x-6+x

2x-6=14

2x=20

x=10

Step-by-step explanation:

I tried hard... I really hope this helps!

For f(x) = 4x +1 and g(x) = x2 - 5, find (f-8)(x).

Answers

Answer:

  (f-g)(x) = -x² +4x +6

Step-by-step explanation:

We assume you want to find (f -g)(x).

 [tex](f-g)(x)=f(x)-g(x)=(4x+1)-(x^2-5)\\\\\boxed{(f-g)(x)=-x^2+4x+6}[/tex]

The price of a gallon of unleaded gas has dropped to 2.82 today. yesterday's price was 2.89. find the percentage decrease. round to the nearest tenth

Answers

Answer :

percentage decrease = {(2.89-2.82)/2.89}x100 = 2.42%

Question
Shelly has 50 shortsin her closet. Shawnie her
Sister borrowed Some of
her shorts. Now shelly has
44 Shosts. How many
Shorts did Shawnie borrow.
A. 50-n = 44
B. 50 t n = 44
c. 50 n = 44
D.44 n =50​

Answers

Answer:

A.50-n=44, 6 shorts borrowed

Step-by-step explanation:

If her sister borrowed n shorts, that means Shelly now has n less shorts. Since her amount of shorts is 50, then 50-n must equal how many shorts she has now, meaning 50-n=44. Solving the equation we get n=6. This means that her sister borrowed 6 shorts.

Answer:

A

Step-by-step explanation:

50 minus the shorts Shawnie borrowed (n) equal to 44

Determining Key Aspects of a Quadratic Function
Use the drop-down menus to describe the key aspects of the function f(x) = -X2 - 2x - 1.
The vertex is the
The function is increasing
The function is decreasing
The domain of the function is hs
The range of the function is

Answers

Answer:

Step-by-step explanation:

The vertex can be located most easily by completing the square of

f(x) = -X^2 - 2x - 1 (which is equivalent to -(x^2 + 2x + 1).  The latter expression can be rewritten as -(x + 1)^2, which indicates that the x-coordinate of the vertex is -1.  The corresponding y-value is 0.  Vertex is at (-1, 0).

The function is increasing for x < -1 and decreasing for x > -1.

The domain of the function is "all real numbers."

The range is (-infinity, 0)

When would you need to arrange polynomials

Answers

When you’re simplifying after collecting like-terms or if the question asks to put each monomial in descending order

what is the slope of the line given by the equation?

Answers

Answer:

the slope is 8

Step-by-step explanation:

The coefficient of x,  "m"  is the slope in the slope-intercept form:

y = mx + b

In 1994 the city of Anoka had a population of 18,000 people. Since then the population has grown by 5.2% each year. In 1994 the city of Minneapolis had a population of 390,000 and has been decreasing by 2.3% each year. How many more people will be living in Minneapolis compared to Anoka after 25 years?

Answers

Answer:

After 25 years, Minneapolis will have 154,062 more residents than Anoka.

Step-by-step explanation:

First, let's write a function for each case.

For Anoka, the initial population is 18,000. The population grows 5.2% or 0.052 each year. Thus:

[tex]A(x)=18000(1.052)^x[/tex], where x represents the amount of years after 1994.

Inversely, for Minneapolis, the population decreases by 2.3% or 0.023. Another way to write this is that it in changes by 1-0.023 or .977 or 97.7%. Thus:

[tex]M(x)=390000(0.977)^x[/tex].

To find how many more people are living in Minneapolis than Anoka after 25 years, simply plug 25 into the functions and then subtract.

In Anoka, after 25 years, there will be:

[tex]A(25)=18000(1.052)^{25}\approx 63924[/tex] residents.

In Minneapolis, after 25 years, there will be:

[tex]M(25)=390000(.977)^{25}\approx217986[/tex] residents.

217986-63924=154,062 residents.

As a young professional in the future, it is good to start saving money to have a
security for the future and have something to use when emergency cases happen
related to the need of cash. The Philippine Average Family income last 2015 was
around P276,000 per year. Lets say every year you earn the same amount and save
P76,000 yearly in your frusted bank giving 4% compounded interest annually. How much
will the account worth in the future after 40 years?
a. Solve for the future value of the account:
FV=PMT
( \frac{(1 + i) ^{n} - 1 }{i} )(i(1+i)n−1​)

Answers

Answer:

Step-by-step explanation:

We would apply the future value which is expressed as

FV = C × [{(1 + r)^n - 1}/r]

Where

C represents the yearly payments of the young professional.

FV represents the amount of money

in your account at the end of 40 years.

r represents the annual rate.

n represents number of years or period.

From the information given,

r = 4% = 4/100 = 0.04

C = $76000

n = 40 years

Therefore,

FV = 76000 × [{(1 + 0.04)^40 - 1}/0.04]

FV = 76000 × [{4.8 - 1}/0.04]

FV = 76000 × 95

FV = P7220000

translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?

Answers

Answer:

1.5d+150

Step-by-step explanation:

125 since it increased by 25%. look at the problem below:

125( 1 + 0.01d) then you plug those numbers in and theres your answer :00!!

sammy-6th grade-

The algebraic expression is 1.5d+150.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that 120 is increased by d % and increased by 25% then the expression will be written as below.

E = 1.5d+150.

Hence the algebraic expression is 1.5d+150.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ5

16. Find m<2.
a. 86°
b. 43°
C. 94°
d. 133

Answers

I think it’s A But I’m not sure
according to the sinx and tanx you should be able to find m by just the angles using most common functions
Answer : 86 degrees

is this right one more i think lol

Answers

Answer:

Yup P is the right one having 62.26%

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

We can set it up as

P = 33/53

Q = 20/48

R = 54/90

S = 44/83

This is because we are calculating the percent of yellow birds in the total amt. of birds in a specified park.

Now we calculate =>

P = 33/53 = around 0.62

Q = 20/48 = around 0.416

R = 54/90 = 0.6

S = 44/83 = around 0.53

We find that Park P has the greatest percentage and -->

Thus, Park P is our answer and yes, you are correct.

8÷2 2/9 −2 11/15 I need help and this is a whole equation I need this ASAP

Answers

Answer: (1 and 22/45)

Step-by-step explanation:

I guess that we are working with mixed numbers here, and we have the equation:

(8÷2 2/9) − (2 11/15)

first we solve: 8÷2 = 4.

Now, we can write this as:

(4 + 2/9) - (2 + 11/15)

(4 - 2) + (2/9 - 11/15)

now, 9*5 = 45

        15*3 = 45

then we can write the right side as: 2/9 - 11/5 = 10/45 - 33/45 = -23/45

2 - 23/45

But in mixed numbers we also need to work with a positive rational, then we have:

2 - 23/45 = 1 + 1 -23/45 = 1 + 45/45 - 23/45 = 1 + 22/45

then the solution is:

(1 and 22/45)

I need help with this exercise please. What I need to know is the measure of one side of the square. Sorry for the language of the exercise

Answers

Answer:

[tex]\boxed{\sf \ \ x=6 \ \ }[/tex]

Step-by-step explanation:

Hello,

BMN and NPC are two similar triangles so

[tex]\dfrac{BM}{MN}=\dfrac{NP}{PC}\\\\ \dfrac{10-x}{x}=\dfrac{x}{15-x}\\\\<=>(15-x)(10-x)=x^2\\\\<=>150-25x+x^2=x^2\\\\<=>25x=150\\\\<=>x=6[/tex]

espero que esto ayude

HELP ASAP PLEASE!!!! 1. Create a unique equation using the graphic above with the solution (answer) of 36. There are many possible equations you could create to equal 36 using the chart above. 2. Describe the process you used to create your equation in prompt 1.

Answers

Answer:

4(A)=36

Step-by-step explanation:

An equation is said to be unique if the equation has a valid solution. Several unique equations that equal 36 can be taken from the given values. Some of these equations are:

[tex]4G + M + 2B = 36[/tex]

[tex]10F- N -D = 36[/tex]

[tex]10D + G =36[/tex]

[tex]4M - E = 36[/tex]

[tex]4L = 36[/tex]

[tex]9E = 36[/tex]

To get a unique equation, we ensure that the right-hand side of the equation equals the left-hand side. There are no quick solution to this; so, we make use of trial by error method.

After several trials, some possible equations with three variables are:

[tex]4G + M + 2B = 36[/tex] because  [tex]4 \times 6 + 10 + 2 \times 1 = 36[/tex]

[tex]10F- N -D = 36[/tex] because [tex]10 \times 5- 11 -3 = 36[/tex]

Some possible equations with two variables are:

[tex]10D + G =36[/tex] because [tex]10 \times 3 + 6 =36[/tex]

[tex]4M - E = 36[/tex] because [tex]4 \times 10 - 4 = 36[/tex]

Some possible equations with two variables are:

[tex]4L = 36[/tex] because [tex]4 \times 9 = 36[/tex]

[tex]9E = 36[/tex] because [tex]9 \times 4 = 36[/tex]

The following are some unique equations from the given values:

[tex]4G + M + 2B = 36[/tex]

[tex]10F- N -D = 36[/tex]

[tex]10D + G =36[/tex]

[tex]4M - E = 36[/tex]

[tex]4L = 36[/tex]

[tex]9E = 36[/tex]

Read more about unique equations at:

https://brainly.com/question/23843252

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = 10 x , a = −2

Answers

Answer:

[tex]\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n[/tex]

Step-by-step explanation:

Rn(x) →0

f(x) = 10/x

a = -2

Taylor series for the function f at the number a is:

[tex]f(x) = \sum^\infty_{n=0} \frac{f^{(n)}(a)}{n!} (x - a)^n[/tex]

[tex]f(x) = f(a) + \frac{f'(a)}{1!}(x-a)+\frac{f"(a)}{2!} (x-a)^2 + ...[/tex] ............ equation (1)

Now we will find the function f and all derivatives of the function f at a = -2

f(x) = 10/x            f(-2) = 10/-2

f'(x) = -10/x²         f'(-2) = -10/(-2)²

f"(x) = -10.2/x³      f"(-2) = -10.2/(-2)³

f"'(x) = -10.2.3/x⁴     f'"(-2) = -10.2.3/(-2)⁴

f""(x) = -10.2.3.4/x⁵    f""(-2) = -10.2.3.4/(-2)⁵

∴ The Taylor series for the function f at a = -4 means that we substitute the value of each function into equation (1)

So, we get [tex]\sum^\infty_{n=0} - \frac{10(x+2)^n}{2^{n+1}}[/tex] Or [tex]\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n[/tex]

Taylor series  is a power series that gives the expansion of a function f (x) in the neighborhood of a point.

Taylor series is,   [tex]f(x)=f(a)+\frac{f'(a)}{1!}(x-a)+\frac{f''(a)}{2!}(x-a)^{2}+........[/tex]

[tex]f(x)=\sum_{n=0}^{\infty }-\frac{10(x+2)^{n}}{2^{n+1}}[/tex]

Here,  f(x) = 1/x  and a = -2

Now find derivative,

 f(x) = 10/x            f(-2) = 10/-2

f'(x) = -10/x²         f'(-2) = -10/(-2)²

f"(x) = 10.2/x³      f"(-2) = 10.2/(-2)³

f"'(x) = -10.2.3/x⁴     f'"(-2) = -10.2.3/(-2)⁴

Substituting above values in Taylor series expansion.

We get,   [tex]f(x)=\sum_{n=0}^{\infty }-\frac{10(x+2)^{n}}{2^{n+1}}[/tex]

Learn more:

https://brainly.com/question/24237739

HELP ASAP!!!!!!!!!!!!!!!

Answers

Answer:

B) (x^2-2x)/(2x+6)

Step-by-step explanation:

When dividing fractions, it's just like multiplying the reciprocal of the second fraction : x/y divided by z/w = x/y * w/z.

We use that and we get (x-2)/(x+3) * x/2. we simplify and get x(x-2)/2(x+3). So Our answer is B

Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis? A. point U B. point V C. point W D. point X

Answers

Hey there! :)

Answer:

Point V.

Step-by-step explanation:

Given the coordinates of T at (-6.5, 1), U represents T before any reflections. (Helps to visualize this better)

Reflecting across the x-axis results in the sign of the y-coordinate changed. Point T after this reflection becomes (-6.5, -1).

Finally, reflecting across the y-axis will change the sign for the x-coordinate.

(-6.5, -1) becomes (6.5, 1). This is represented by point V.

what is the Lcd of fra tions 1_3 and 11 _15​

Answers

it's 15, since it is divisible by both 15 (15 x 1) and 3 (3 x 5)

Answer:

15

Step-by-step explanation:

Well to find the least common denominator of [tex]\frac{1}{3}[/tex] and [tex]\frac{11}{15}[/tex].

We have to see if 11/15 can be reduced, and by looking at the fraction it can’t be reduced.

So we just have to make 1/3 fraction have the same demimitator as 11/15.

So we just multiply it by 3 to get 15 go the LCD is 15.

Is the answer correct in this question

Answers

Answer:

Yeah, you got the answer right.

Step-by-step explanation:

Yes the answer you put is correct

6th grade math :) help me please !

Answers

Answer:

a1- 2 terms

a2- 6x, 9y

a3- 6,9

b1-2 terms

b2- 7x, 12x

b3- 7,12

c1- 3 terms

c2- 5x^2, 2y, 3

c3- 5,2,3

Step-by-step explanation:

Evaluate the expression x to the power of 2 ⋅x to the power of 1 for x =9 = what

Answers

Answer:

729

Step-by-step explanation:

Replace x with 9. [tex]9^{2}[/tex] which is 9*9=81 than [tex]9^{1}[/tex] which is 9*1=9. Simplify 81*9=729.

make h the subject of the formula A=(1/2)ah-(1/2)bh​

Answers

Answer:

h = A ÷ ½(a - b)

Step-by-step explanation:

A = ½ah - ½bh

A = ½h( a - b)

Divide both sides by the coefficients of h

A ÷ ½(a - b) = h

Two ships leave a port at the same time.
Ship A sails 12 knots on a bearing of 035°
Ship B sails 16 knots on a bearing of 270°
Calculate the distance between the ships after 2 hours

(1 knot = 1 nautical mile per hour)

Answers

Answer:

49.8 nautical miles

Step-by-step explanation:

Recall that speed = distance/time

Time = 2hours

Speed = 12knots and 16 knots respectively

D = speed×time

D1 = 12×2 = 24

D2 = 16×2 = 32

Using the 'cosine rule' we have:

a^2 = b^2+c^2-2bc cos Θ

Where a =?

b =24

c = 32

Θ = 125°

a² = 24² + 32² - 2(24)(32)cos125°

a^2 = 576+1024 - 1536cos125°

a² = 1600 - 1536(-0.57357)

a² = 1600+881.0134

a² = 2481.0134

Then, a² = 2481.013406

a =√2481.013406

Hence, a = 49.8 nautical miles

In this exercise we must use the knowledge about triangles to calculate the distance that a ship will travel, in this way we find that:

49.8 nautical miles

First, remember the formula for distance, which is:

[tex]Speed = distance/time[/tex]

And knowing that the data reported in the exercise are:

Time = 2hours Speed = 12 knots and 16 knots respectively

So putting the values ​​informed in the distance formula, we have:

[tex]D = speed*time\\D_1 = 12*2 = 24\\D_2 = 16*2 = 32[/tex]

Using the 'cosine rule' we have:

[tex]a^2 = b^2+c^2-2bc cos \theta[/tex]

Find the a, will have:

[tex]b =24 \ \ \ c = 32 \ \ \ \theta = 125\\a^2 = 24^2 + 32^2 - 2(24)(32)cos125\\a^2 = 576+1024 - 1536cos125\\a^2 = 1600 - 1536(-0.57357)\\a^2 = 1600+881.0134\\a^2 = 2481.0134\\a=49.8[/tex]

See more about triangles at brainly.com/question/25813512

help please this is important​

Answers

Answer:

i think is e or b

Step-by-step explanation:

[tex]7(b-2)[/tex]  Can be interpreted as letter E.

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