A beachfront hotel is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of nights each guest will stay in a single visit. Using a sample of guests who stayed last year, the average number of nights per guest is calculated at 5 nights. The standard deviation of the sample is 1.5 nights. The size of the sample used is 120 guests and the beachfront hotel desires a precision of plus or minus 0.5 nights.

Required:
a. What is the standard error of the mean in the lakefront resort example?
b. Within what range below can the resort expect with 95% confidence for the true population mean to fall?

Answers

Answer 1

Answer:

0.1369

(4.732, 5.268)

Step-by-step explanation:

Given that:

Mean, m = 5

Standard deviation, s = 1.5

Error margin, E = 0.5

Sample size, n = 120

Zcritical at 95% = 1.96

Standard Error of the mean (S. E) :

S. E = s /sqrt(n)

S. E = 1.5 / sqrt(120

S.E = 1.5 / 10.954451

S. E = 0.1369306

S. E = 0.1369

Confidence interval (C. I)

Mean ± (Zcritical * S.E)

5 ± (1.96 * 0.1369)

Lower boundary = 5 - 0.268324 = 4.731676

Upper boundary = 5 + 0.268324 = 5.268324

(4.732, 5.268)


Related Questions

* Use order of operations to solve the following.

* Use order of operations to solve the following.
3 + 5 2 × 2 −7

Answers

The answer is 100 if that 5 and 2 is separate

Answer:

5

3+5 2×2 -7

8+4-7

12-7

5

^^^^

PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW using y=mx+b form

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Answer:

y=1+5

Step-by-step explanation:

b is the y intercept and 1 is the slope gradient

At a carnival, the probability that you chose a winning rubber duck from 25 ducks is 0.20.

How many are not winning ducks?

Answers

The game is formed such that a duck is either winning duck or a non winning duck .

there is no other result for any duck present in the game .

Also choosing a duck is a fair game it is independent of any prior situation .

here we would be using a basic probability formula , that is

Probability of a result = number of items in favour of that result divide by total number of items present in the game .

Suppose that E and F are points on the number line.
If EF = 12 and E lies at -9, where could F be located?

Answers

Answer:

either at -21 or 3

Step-by-step explanation:

we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9

-9 - 12 is -21 and -9 + 12 is 3

It’s either at 21 or 3 try it and let me know if works or if not email me and I’ll help you out.

Write fractions in order 5/8 2/3 3/8

Answers

Answer:

3/8, 5/8, 2/3

3/8 5/8 2/3 that’s is them in smallest to greatest

PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!

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Answer:

55 degrees

Step-by-step explanation:

What are the two solutions of x^2-2x-4=-3x+9

Answers

Answer:

the x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9

Step-by-step explanation:

A cliff diver jumps from a height of 58 feet with an initial velocity of 4 feet per second.

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Answer:

The answer is 6 seconds

     

He be having more drip thin connies

Answers

Answer:

i dont even know to be honest but why ask dat

Step-by-step explanation:

Answer:

He validdddddddd

What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?

Answers

Answer:

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.

[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].

If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:

[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]

[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]

[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]

[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]

[tex]c \approx 3.195[/tex]

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

There are 36 students on the debate team at a school. There are 6 seniors, 12 juniors,
10 sophomores, and 8 freshmen on the team. The coach is going to select 4 students at random to participate in
the next debate. Calculate the probability that all 4 students are sophomores.
O 0.0036
O 0.0060
O 0.0084
O 0.2778

Answers

A

0.0036

Bsshsjsjsjsnsn

Answer:

A 0.0036

Is correct

ED2021

PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2x+30 = 90 (Choice A)

definitely choice A. 2x+30=90

Simon makes a model of a boat, using a scale of 1:30
If the model has a height of 40 cm, find the height of the real boat.

give your answers in metres

Answers

Answer:

12 meters

Step-by-step explanation:

30 times 40 = 1200

100 cm in a meter

1200/100= 12

What is the real part of 6 plus 3i

Answers

Answer:

63

hope it's 9 lol ❤❤❤❤❤❤

THANK YOU. ^O^ :)

Answer: 6

Step-by-step explanation: A complex number is written as a+bi where a is the real part(whole number) and b is the imaginary part.



A superball rebounds half the height it drops. A student drops the superball from the top of a building, 176 feet above the ground. How far
above the ground is the ball when it has traveled a distance of 500 feet?

Answers

Answer:

62.48 ft.

Step-by-step explanation:

Initial height: 50 ft.

First rebound: 10 ft.

Second rebound: 2 ft.

Third rebound: 0.4 ft.

Fourth rebound: 0.08 ft.

If we approximate the fourth rebound to zero, we'll have:

50 + 10 + 2 + 0.4 + 0.08 = 62.48 ft.

Which of the following can a seismograph not show scientists?

Answers

It can’t tell you when exactly in time when the earthquake is going to occur.

At what corridnate point do y= 1/2 x + 4 and x + 4y = 4 intersect.

Answers

Answer:

(-4;2)

Step-by-step explanation:

1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;

2. if x+4y=4, it is possible to re-write it as x+4y-4=0;

3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.

4. if y=2, then it is possible to substitute its value into any equation given in the condition:

x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.

5. finally x= -4; y=2. It means (-4;2)

PS. the suggested solution is not the only way to resolve this task.

Write an algebraic expression. The product of two numbers is 94, and one of the numbers is n. What is the other number?

Answers

Answer:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

True or false, A triangle with side lengths of 9 cm, 19 cm, and 17 cm is a right triangle.

Answers

Answer:

False

Step-by-step explanation:

A right triangle has all side lengths the same

Answer: give me brainliest now

Step-by-step explanation:

9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4

Answers

Step-by-step explanation:

0.0660%2/33/4

hope it's right :)

Make y the subject of the formula

Answers

Answer:

[tex] y = \frac{w - x^2}{-2z} [/tex]

Step-by-step explanation:

Given:

w = x² - 2yz

Required:

Solve for y

Solution:

[tex] w = x^2 - 2yz [/tex]

Subtract x^2 from not sides

[tex] w - x^2 = - 2yz [/tex]

Divide not sides by -2z

[tex] \frac{w - x^2}{-2z} = \frac{-2yz}{-2z} [/tex]

[tex] \frac{w - x^2}{-2z} = y [/tex]

[tex] y = \frac{w - x^2}{-2z} [/tex]

help! algebra question

Answers

I think it’s y=10x+45 because the line starts at 45 and it’s increasing by 10. If i’m right can you mark me brainliest?

PLEASE HELP I NEED HELP WITH AN ALGEBRA 2 QUESTION ILL GIVE BRAINLEST

Answers

Answer:

the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2

Step-by-step explanation:

all possible factors:

±3/2,  ±1/2,  ±3,  ±1

2x³ + 3x² - 8x + 3

let '2' = p and let '3' = q

factors of 'p' are 1 and 2

let '3' = q

factors of 'q' are 1 and 3

possible factors are q/p

Recall the Spice Girls Emporium example. A list of useful information is given below. n = 36 The sample mean income is $41,100 The population standard deviation is estimated to be $4,500 What if we wanted to change our level of confidence to be 99%? What would our new margin of error be? Your answer should be given as an integer.

Answers

Answer: Margin of error = 1932

Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.

Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]

z is z-score related to the percentage of confidence, in this z = 2.576

σ is population standard deviation

n is how many individuals are there in the sample or population

With a new level of confidence of 99%:

ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]

ME = 2.576(750)

ME = 1932

The new margin of error would be 1932.

find the equations of the perpendicular line y=2x+1 and passes through (0,-2)

Answers

9514 1404 393

Answer:

  y = -1/2x -2

Step-by-step explanation:

The given line has slope 2, so the perpendicular line will have slope -1/2, the negative reciprocal of the given slope.

The y-intercept is given as -2, so the line's equation in slope-intercept form is ...

  y = mx +b . . . . line with slope m and y-intercept b

  y = -1/2x -2

A fitness machine weigh 16.8 kg. How many grams does the fitness machine weigh?​

Answers

Answer:

16800

Step-by-step explanation:

since the equaltiuon is 16.8*1000

1 kg = 1000 grams.

16.8 kg x 1000 = 16,800 grams

The sum of two numbers is 240. If one number is twice the other number, find the two numbers.

Answers

Answer:

The sum of two numbers is 240. The larger number is 6 less than twice the smaller. Find the numbers.

----------

Let the smaller be "x" ; Larger is "2x-6"

EQUATION:

x + 2x-6 = 240

3x= 246

x = 82 (smaller)

2x-6 = 158 (larger)

Step-by-step explanation:

Answer:

160 and 80

Step-by-step explanation:

please answer for help

Answers

Answer:

TS=22

Step-by-step explanation: Since we know the triangles are proportional, we need to set up an proportion to find TS. First, let find which sides are correspond with each, TS and MN does and US and NQ does. So we set up a proportion that includes.

TS/US=MN/NQ: Let plug in the numbers

3x+1/26=5x-2/39:  Then cross multiply

39(3x+1)=26(5x-2): Then simplify

117x+39=130x-52: Subtract 117x from both sides

39=13x-52: Add 52 to both sides

  91=13x: Divide 13 by both sides

  7=x: Then plug it in to TS

3(7)+1=22

PLZ HELP VERY EASY BRAINLIEST
Identify a pair of mutually exclusive events and a pair of independent events.

Answers

You can’t run backwards and forwards at the same time (mutually exclusive event). Rolling a dice and landing on 3 then landing on tails during a coin toss (independent events)

Evaluation 6ab when a = 1/2 and b = 7

Answers

Answer:

21

Step-by-step explanation:

6x1/2x7

6 x 1/2=3, 3 x 7=21

I hope this helps and have a nice day!

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