As a marketing manager, you are tasked with selecting a website to place your advertisement. The following sampled data shows the number of user visits per month over the last 3 three years:
Website 1: 10357, 10537, 10767, 10561, 10544, 10581, 10602, 10665, 10335, 10419, 10737, 10410, 10485, 10601, 10458, 10472, 10435, 10375, 10436, 10510, 10345, 10559, 10520, 10425, 10351, 10465, 10491, 10671, 10366, 10440, 10618, 10606, 10406, 10538, 10449, 10462
Website 2: 11067, 11029, 10888, 10789, 10914, 10663, 10787, 11140, 11042, 11074, 10868, 10853, 10900, 11088, 10991, 10928, 10959, 11126, 11033, 11114, 11150, 11155, 11027, 10900, 11015, 11123, 10953, 11181, 10855, 10731, 10971, 10770, 11070, 11122, 11018, 10903 Since the behavior of internet users can be considered a natural process, consider the number of views to follow normal distribution. In addition, please assume no autocorrelation or time-series nature of the data. Based on the data above, provide the answers to the following question:
A. What is the average and standard deviation of viewership of each website?
B. Is viewership different between these two websites? If yes, which website provides more views?
C. Suppose that your manager requires at least 12000 views per month. What is the probability of 12000 views happening on each website?
D. Which website provides more consistent view? How would you measure it?
E. Which website would you recommend for your advertisement?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Website 1 : 10357, 10537, 10767, 10561, 10544, 10581, 10602, 10665, 10335, 10419, 10737, 10410, 10485, 10601, 10458, 10472, 10435, 10375, 10436, 10510, 10345, 10559, 10520, 10425, 10351, 10465, 10491, 10671, 10366, 10440, 10618, 10606, 10406, 10538, 10449, 10462

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 377999 / 36 = 10499.9722

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 1 :), s = 110.239865

Website 2 : 11067, 11029, 10888, 10789, 10914, 10663, 10787, 11140, 11042, 11074, 10868, 10853, 10900, 11088, 10991, 10928, 10959, 11126, 11033, 11114, 11150, 11155, 11027, 10900, 11015, 11123, 10953, 11181, 10855, 10731, 10971, 10770, 11070, 11122, 11018, 10903

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 395197 / 36 = 10977.6944

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 2), s = 132.617995

2.)

Yes, the viewership between the two websites are different with the second website has a higher mean viewership with a mean of 10977.6944.

3.)

The probability of 12000 views per month on each website :

Probability = Mean viewership per month / required viewership

Website 1 :

P(12000) = 10499.9722 / 12000 = 0.8749

Website 2 :

P(12000) = 10977.6944 / 12000 = 0.9148

4.)

More consistent website :

We use the standard deviation value, the higher the standard deviation, the higher the variability :

Website 1 should be more consistent has it has a Lower standard deviation score, hence, should show lower variability than website 2.

5.)

Website suitable for advertisement should be one with higher viewership per month in other to reach a larger audience. Hence, website 2 should be recommended for advertisement.


Related Questions

13) What is 4 1/2 subtracted from 5.33?
A. 0.43
B. 0.53
C. 0.83
D. 1.08

Answers

Given:

[tex]4\dfrac{1}{2}[/tex] subtracted from 5.33.

To find:

The value for the given statement.

Solution:

[tex]4\dfrac{1}{2}[/tex] subtracted from 5.33 can be written as:

[tex]5.33-4\dfrac{1}{2}[/tex]

On simplification, we get

[tex]=5.33-\dfrac{8+1}{2}[/tex]

[tex]=5.33-\dfrac{9}{2}[/tex]

[tex]=5.33-4.5[/tex]

[tex]=0.83[/tex]

Therefore, the correct option is C.

which of the following is not an asymptote of the hyperbola xy = -42? y = 0 x = 0 y = x

Answers

Given:

The equation of the hyperbola is:

[tex]xy=-42[/tex]

To find:

The the equation which is not an asymptote of the hyperbola.

Solution:

We have,

[tex]xy=-42[/tex]

It can be written as:

[tex]y=\dfrac{-42}{x}[/tex]

Equating denominator and 0, we get

[tex]x=0[/tex]

So, the vertical asymptotic is [tex]x=0[/tex].

The degree of numerator is 0 and the degree of denominator is 1.

Since the degree of numerator is greater that the degree of denominator, therefore the horizontal asymptote is [tex]y=0[/tex] and there is no oblique asymptote.

Therefore, [tex]y=x[/tex] is not an asymptote of the given hyperbola and the correct option is C.

five times a number minus two is ten .find the number

Answers

Answer:

12/5 or 2.4

Step-by-step explanation:

Form the equation:

5x - 2 = 10

^     ^     ^

^     ^    "is ten" which adds a equal sign to it

^   minus two

five times a number  

Solve:

5x - 2 = 10

     +2    +2

-----------------

5x = 12

----   ----

5      5

x = 12/5 or 2.4

Let the number be x

Then ATQ

5x - 2 = 10

5x = 10+2

x = 12/5

Must click thanks and mark brainliest

The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's in-state and out-of-state applicants. A random sample of 10 in-state applicants results in a SAT scoring mean of 1173 with a standard deviation of 38. A random sample of 15 out-of-state applicants results in a SAT scoring mean of 1076 with a standard deviation of 57. Using this data, find the 95% confidence interval for the true mean difference between the scoring mean for in-state applicants and out-of-state applicants. Assume that the population variances are not equal and that the two populations are normally distributed. Find the margin of error to be used in constructing the confidence interva.

Answers

Answer:

jebtucky

Step-by-step explanation:

yes yee yee yee eyetegevw

Which point is the vertex for the graph of y = |x| + 2?
A. (0,1)
B. (0,-2)
C. (0,2)
D. (2,0)

Answers

Answer:(0,2) is the vertex for the graph of y = |x| + 2.

Step-by-step explanation:  |x| = 0, y + 2 = 2

Therefore, It would be ( 0,2)

Answer:

trust the otherguy

Step-by-step explanation:

29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction

Answers

Answer:

6 1/85

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

146/5÷34/7

Applying the fractions formula for division,

146/5*7/34=1022/170

Simplifying 1022/170, the answer is

6 1/85

Complete the sentence that explains why Write an Equation is a reasonable strategy for solving this problem. Because the answer may be _________ the numbers in the problem.

Answers

Answer:

4 e

Step-by-step explanation:

dz6dxrx xrrx6 xz33x4xr4x xrx

A random sample of 64 students at a university showed an average age of 25 years and a sample standard deviation of 2 years. The 98% confidence interval for the true average age of all students in the university is

Answers

Answer:

24.4185<x<25.5815

Step-by-step explanation:

Given the following:

n = 64

mean x = 25

s = 2

z is the z score at 98% CI = 2.326

Get the Confidence Interval:

CI = x±z*s/√n

CI = 25±2.326*2/√64

CI = 25±2.326*2/8

CI = 25±0.5815

CI = (25-0.5815, 25+0.5815)

CI = (24.4185, 25.5815)

CI = 24.4185<x<25.5815

Hence the 98% confidence interval for the true average age of all students in the university is 24.4185<x<25.5815

Riley wants to make 100ml of 25% saline but only has access to 12% and 38% saline mixtures. x= 12% y=38%

Answers

Answer:

x = 50

y = 50

Step-by-step explanation:

[tex]\begin{bmatrix}x+y=100\\ 0.12x+0.38y=25\end{bmatrix}[/tex]

.12(100-y) + .38y = 25

x = 50

y = 50

Use all the six numerals 4, 5, 6, 7, 8 and 9 to form two 3-digit even numbers whose sum is smallest, and what is the sum? ​

Answers

9514 1404 393

Answer:

  476 +598 = 1074

Step-by-step explanation:

In order for the sum to be smallest, the two most-significant digits must be the smallest possible. That is, they must be 4 and 5.

The two least-significant digits must be even. The remaining even digits are 6 and 8. Then the tens digits are the digits left over: 7 and 9.

Possible sums are ...

  476 +598 = 1074

  478 +596 = 1074

  496 +578 = 1074

  498 +576 = 1074

The sum is 1074.

The stem-and-leaf plot above shows house sale prices over the last week in Tacoma. What was the most
expensive house sold? Give your answer in dollars
$

Answers

Answer:

the answer is 2

Step-by-step explanation:

Solve 8x + c = k for x

Answers

Answer:

x = 1/8(k-c)

Step-by-step explanation:

8x + c = k

Subtract c from each side

8x +c-c = k-c

8x = k-c

Divide each side by 8

8x/8 = (k-c)/8

x = 1/8(k-c)

Answer:

x-1/8(k-c)

Step-by-step explanation:

What is the value of x?
non-integer fractions
repeating decimal
integer
irrational number

Answers

Answer:

square root 3

Step-by-step explanation:

Pythagoreans theorem

a^2+b^2=c^2

C is the hypotenuse

1^2+(✓2)^2=3

✓3

use the function to find f(-2) f(x)=[tex]3^{x}[/tex]

Answers

Answer:

[tex] \frac{1}{9} [/tex]

Step-by-step explanation:

[tex]f( - 2) = {3}^{ - 2} [/tex]

[tex]1 \div 9 = .111[/tex]

According to a study of political​ prisoners, the mean duration of imprisonment for prisoners with chronic​ post-traumatic stress disorder​ (PTSD) was months. Assuming that ​months, determine a ​% confidence interval for the mean duration of​ imprisonment, ​, of all political prisoners with chronic PTSD. Interpret your answer in words.

Answers

This question is incomplete, the complete question is;

According to a study of political​ prisoners, the mean duration of imprisonment for 33 prisoners with chronic​ post-traumatic stress disorder​ (PTSD) was 34.2 months. Assuming that σ = 40 ​months.

determine a 95​% confidence interval for the mean duration of​ imprisonment, ​μ , of all political prisoners with chronic PTSD. Interpret your answer in words.

Answer:

⇒ ( 20.6, 47.8 )

Therefore, 95% confidence interval for the mean duration of imprisonment μ of all political prisoners with PTSD is between 20.6 months and 47.8 months.

Step-by-step explanation:

Given the data in the question;

sample size; n = 33

standard deviation σ = 40 months

x' = 34.2 months

Now, at 95% confidence interval;

we know that z-value of 95% confidence interval is 1.96

so we substitute into the formula below;

⇒ x' ± Z( σ/√n )

⇒ 34.2 ± 1.96( 40/√33 )

⇒ 34.2 ± 13.647

so

we have

( 34.2 - 13.647 ), ( 34.2 + 13.647 )

⇒ ( 20.6, 47.8 )

Therefore, 95% confidence interval for the mean duration of imprisonment μ of all political prisoners with PTSD is between 20.6 months and 47.8 months.

Solve the equation
P=100x-0.1x^2

Answers

Answer:

100x - 0.01x

Step-by-step explanation:

100x-0.1x^2

100x - 0.01x

write your answer in simplest radical form​

Answers

Step-by-step explanation:

5ft hight this ancle 90°so

answer is 5ft

Hshejoffpeowhwbwbwhjskfofofoekwwoksnfnf Helppp

Answers

Answer:

Step-by-step explanation:

3. ZW ≅ WX

Find the perimeter: a polygon with sides 2.1 cm, 2.1 cm, 1 cm, 3.3 cm, and 1 cm

The perimeter = _______ cm

A.8.3
B.10.7
C.7.7
D.9.5

Answers

Hello!

P = 2,1cm + 2,1cm + 1cm + 3,3cm + 1cm => P = 4,2cm + 1cm + 3,3cm + 1cm => P = 5,2cm + 3,3cm + 1cm => P = 8,5cm + 1cm => P = 9,5cm

Answer: D. 9,5cm

Good luck! :)

Answer:

9.5cm

Step-by-step explanation:

To find the perimeter, add up all the sides

2.1 cm+ 2.1 cm+ 1 cm+ 3.3 cm+ 1 cm

9.5cm

Find the area and perimeter of a rectangle with length measuring 14 cm and width measuring 5 more than twice the length.

Answers

Answer:

AREA: 462cm

PERIMETER: 94cm

Step-by-step explanation:

To find the width, you have to double 14 and then add 5. That would equal 33. Then to find area, multiply 33 and 14 = 462. To find perimeter, add 33+33+14+14=94

The area of the rectangle is 462 cm² and the perimeter is 94 cm.

How to determine the  area and perimeter

To find the area and perimeter of a rectangle, we need the length and width of the rectangle.

Given:

Length = 14 cm

Width = 2(14) + 5

Calculating the width:

Width = 2(14) + 5

Width = 28 + 5

Width = 33 cm

Now, we can calculate the area and perimeter of the rectangle.

Area of a rectangle:

Area = Length x Width

Substituting the values:

Area = 14 cm x 33 cm

Area = 462 cm²

Perimeter of a rectangle:

Perimeter = 2(Length + Width)

Substituting the values:

Perimeter = 2(14 cm + 33 cm)

Perimeter = 2(47 cm)

Perimeter = 94 cm

Therefore, the area of the rectangle is 462 cm² and the perimeter is 94 cm.

Learn more about area and perimeter at

https://brainly.com/question/19819849

#SPJ2

Part 2: Pack It Up! 1.

Just by looking at the images, what would be your guess of how many fish food boxes can fit into the shipping box?
How did you determine that? There is no right or wrong answer​

Answers

Answer:

Read below

Step-by-step explanation:

I would guess based on measurement because I would do the following.

3 1/4 x 3 1/4 = 10 9/16

10 9/16 x 3 = 31 11/16

Hope it helps c:

After the booster club sold 40 hotdogs at a football game, it had $90 in profit.
After the next game, it had sold a total of 80 hotdogs and had a total of $210
profit. Which equation models the total profit, y, based on the number of
hotdogs sold, X?

Answers

Step-by-step explanation:

x = goods y = $

x Sold = 40, Y = $90

x Sold = 80, Y = $210

sum of xHotdogs = 40+80 = 120 Hotdogs

Sum of Y$ = $90 + 210 = 300

so

X = 2A & Y = 3 its mean one hotdogs can sold for one each = $2.25 and we round it to $3

So = XY = 2A + 3

sorry if i wrong

Two real estate companies, Century 21 and RE/MAX, compete with one another in a local market. The manager of the Century 21 office would like to advertise that homes listed with RE/MAX average more than 10 days on the market when compared to homes listed with his company. The following data shows the sample size and average number of days on the market for the two companies along with the population standard deviations.Sample mean Sample size Population standard deviation Century 21 22 days 36 32 days RE/MAX 144 days 30 35 daysIf Population 1 is defined as RE/MAX and Population 2 is defined as Century 21, the 80% confidence interval for the difference in population means is:_________.(17.8, 26.2)(11.5, 32.7)(5.4, 38.6)(-3.0, 47.0)

Answers

Answer:

17.8 , 26.2

Step-by-step explanation:

The confidence interval is 80% for the given population. Significance level is 0.2 [ 1 - 0.8 ] . Sample size is given and sample mean is calculated with the given standard deviation. Sample mean is 36 days and population size is 144 days.

***URGENT*** PLEASE HELP ME ASAP, ITS DUE TODAY!!!

...................................

M is the midpoint of 0A. N is the midpoint of OB. Prove that AB is parallel to MN​

Answers

Answer:

Construct MN.

Since M is the midpoint of OA, OM = MA

Similarly, N is the midpoint of OB.

Thus, ON = NB.

Now, in Δs OMN and OAB,

∠MON = ∠AOB (common angle)

(sides are in proportional ratio; OA = 2OM and OB = 2ON)

∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)

Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)

But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)

Thus, AB || MN (QED)

A researcher surveyed 8 people to see if there is a
relationship between years of education and starting
salaries. The data points are shown on the graph.
Which best represents the equation of the trend line
shown on the graph? (Note that the graph has a break
on the x-axis.)
O y = 0.25x + 15
O y = 0.25x + 17.5
* y = 1.25x - 10
O y = 1.25x + 7.5

Answers

Answer:

[tex]y=1.25x+7.5[/tex]

Step-by-step explanation:

We can see that the trend line is the line of best fit to the data points.

The equation of a straight line is given by:

y = mx + b:

where y, x are variables, m is the slope of the line and b is the y intercept.

From the graph, we can see that the line passes through the points (10, 20) and (14, 25). Therefore the equation of the line is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-20=\frac{25-20}{14-10}(x-10)\\\\y-20=1.25(x -10)\\\\y-20=1.25x-12.5\\\\y=1.25x+7.5[/tex]

Bill invested $4000 at 6%
compounded annually. Find the
accumulated amount at the end of
12 years.

Answers

Answer:

$ 8048.79

Step-by-step explanation:

P = $4000t = 12 yearsr = 6% = 0.06

Formula:

A = P(1 + r)^t

The total amount:

A = 4000*(1 + 0.06)^12 = 8048.79

We have to find the,

Accumulated amount at end of 12 years.

The formula we use,

→ A = P(1+r)^t

It is given that,

→ P = $4000

→ t = 12 years

Then r will be,

→ 6%

→ 6/100

→ 0.06

Then the total amount is,

→ P(1+r)^t

→ 4000 × (1 + 0.06)^12

→ 8048.79

Thus, $ 8048.79 is the amount.

What is circulatry systerm​

Answers

Answer: i think you meant circulatory system but the defination for it is:

The  circulatory system (also called the cardiovascular system) is the body system that moves blood around the body. It consists of the heart and blood vessels. The blood carries various materials that the body needs, and takes away waste or harmful substances. Blood vessels that take blood away from the heart are arteries.

this khan academy problem confuses me... (5/3)^3= can anyone help me solve it?

Answers

Answer:

4.629

Step-by-step explanation:

(5/3)³5×5×5/3×3×3125/274.629.

Hope it is helpful to you

The quadratic equation [tex]x^2+3x+50 = 0[/tex] has roots r and s. Find a quadratic question whose roots are r^2 and s^2.

Answers

According to the question, our quadratic equation is :

\begin{gathered} \bf {x}^{2} - ( {r}^{2} + {s}^{2} )x + {r}^{2} {s}^{2} = 0 \\ \bf \implies \: {x}^{2} - ( - 91)x + {(rs)}^{2} = 0 \\ \bf \implies \: {x}^{2} + 91x + {(50)}^{2} = 0 \\ \bf \implies \: {x}^{2} + 91x + 2500 = 0\end{gathered}

x

2

−(r

2

+s

2

)x+r

2

s

2

=0

⟹x

2

−(−91)x+(rs)

2

=0

⟹x

2

+91x+(50)

2

=0

⟹x

2

+91x+2500=0

Ethan buys a video game on sale. If the video game usually costs $60, and it was on sale for 20% off, how much did Ethan pay? Round to the nearest whole dollar.

Answers

Ethan will pay $31.99 with the discount.

How? This is the answer because:

If 39.99 is 100%, and you are trying to find 20%...

1. you need to set it up as a ratio (of course, you do not need to do this, but it is easier for me to do it this way)

2. the ratio will look like this: 39.99/100% x/20%

3. all we need to do from here is to cross multiply!

4 39.99 x

---------- = ----------

100 20

-price is on the top and percent on the bottom

-you would now do 39.99 times 20

-then divide by 100

5. once you have 20% of 39.99, you need to subtract that answer from the total

6. 39.99 - 7.998 = 31.992 (you need to round to the nearest hundredth)

Hope this helps <3

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