It is known that the length of time that people wait for a city bus to arrive is right skewed with mean 6 minutes and standard deviation 4 minutes. A sample of 25 wait times is randomly selected. What is the standard deviation of the sampling distribution of the sample wait times

Answers

Answer 1

Answer:

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.

Standard deviation 4 minutes.

This means that [tex]\sigma = 4[/tex]

A sample of 25 wait times is randomly selected.

This means that [tex]n = 25[/tex]

What is the standard deviation of the sampling distribution of the sample wait times?

[tex]s = \frac{4}{\sqrt{25}} = 0.8[/tex]

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.


Related Questions


2. If (x+1,Y+2)=(3,4), find the value of x and y

Answers

Answer:

x = 2

y = 2

Step-by-step explanation:

since it is an equal pair,

x+1 = 3

or, x = 3 - 1

x = 2

y + 2 = 4

or, y = 4 - 2

y = 2

How is adding and subtracting radical expressions similar to adding and subtracting variables ?????

Answers

Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.

Answer:

combining like terms. if the radicand is the you can combine the radical. this is the same as combining variables as long as the variable is the same if that makes sense

Step-by-step explanation:

so like you can add 7a and 3a because they have the same variable a. you can combined 2 root 2 and 4 root 2 because the radicand is same <3

Which sequence is arithmetic? Check all that apply.
•0, 8, 16, 24
•7, 12, 17, 22
•6, 12, 24, 48
•8, 14, 20, 26
•11, 18, 23, 30
•12, 17, 22, 29
•15, 30, 60, 120

Answers

Answer:

Sequences 1,2, and 4 are arithmetic.

Step-by-step explanation:

Each term in sequence 1 gets added by 8.

Each term in sequence 2 gets added by 5.

Each term in sequence 4 gets added by 6.

Una empresa que trabaja en un mercado de competencia perfecta tiene una función de costos totales CT=Q^3-45Q^2+600Q+1.200 Las funciones de oferta y demanda de este mercado son: Qo=5P-300 y Qd=2.860-8P. Recuerde que la condición para maximizar beneficios dice que la empresa habrá de producir una cantidad tal que haga igualar sus costos marginales con el precio de equilibrio de mercado.

Answers

Answer:

La cantidad producida para maximizar las ganancias es de 915 unidades

Step-by-step explanation:

Pregunta: Calcule cuánto producirá para maximizar las ganancias.

La función de costo dada se presenta de la siguiente manera;

CT = Q³ - 45 · Q² + 600 · Q + 1200

La función de suministro es Qo = 5 · P - 300

La función de demanda es Qd = 2860 - 8 · P

A precio de equilibrio, tenemos;

Qo = Qd

Por lo tanto;

5 · P - 300 = 2860 - 8 · P

13 · P = 2.860 + 300 = 3.160

P = 3160/13

Por lo tanto;

Q = 2860 - 8 × (3160/13) = 11900/13 ≈ 915,38

La cantidad producida que maximiza las ganancias es de aproximadamente 915 unidades.

El costo total CT = 915³ - 45 × 915² + 600 × 915 + 1200 = 728,935,950

Determine whether the sequence converges or diverges. If it converges, give the limit.

50, 25/2, 25/8, 25/32, ...

Answers

Answer:

The sequence converges to 0.

Step-by-step explanation:

Every new number is divided by 4 and will continue to grow smaller until it converges to 0.

What is the volume of the cone? Round to the nearest cubic cm.

Answers

Answer:

the answer will be

184.31

I need help with #36.

Answers

Answer:

1/81

Step-by-step explanation:

Mary spends her Saturday mornings buying groceries, helping her children with homework, cooking, and
working on her weekend assignment. She does not always do these tasks in the same order. In how many
possible ways can she do her tasks?

Answers

Answer:

I think in 2 or 3 process. But I am not sure

There are j cars at the Rockford dealership and k cars at the Robinson dealership. The Robinson dealership has 6 more than three times as many cars as the Crockford dealership. What is the value of k in terms of j?

Answers

Answer:

[tex]k=3j+6[/tex]

Step-by-step explanation:

We can setup an equation in terms of k and j:

[tex]k=3j+6[/tex]

We get this equation because there are 6 more than 3 times the Crockford cars in the Robinson dealership. We see that the equation already is the value of k in terms of k, so we have our answer.

What is -20/64 in simplest form?

Answers

Answer:

-5/16

Step-by-step explanation:

-20 /64

Divide the top and bottom by 4

-5/16

Amber had 56 of a book of postage stamps. She used 26 of the book of postage stamps. Which fraction of the book of postage stamps does Amber have now?

Answers

An Step-by-step explanation: There are 56 stamps in total, and Amber used 26. So, she used 26/56. We need know which fraction has now. so she have 30/56 (becauase 56-26= 30). And by simplify, she have now 15/28 (if you simplify by 2)

Which of the following is the discriminant of the polynomial below?
X2 +6X+8
A. 8
B. 6
C4
D. 26

Answers

X2 + 6X +8
the answer is C. 4

What is the 100th term of the arithmetic sequence below?
4, 11, 18, 25

Answers

Answer:

a₁₀₀ = 697

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = a₂ - a₁ = 11 - 4 = 7 , then

a₁₀₀ = 4 + (99 × 7) = 4 + 693 = 697

PLZZ answer this in a simple method​

Answers

Answer:

hope this help you

of my handwriting is bad then sorry.

Answer:

have a great day

may god bless you a lot

Which one is the geometric sequence.

Answers

Answer:

C

Step-by-step explanation:

A geometric sequence has a common ratio r between consecutive terms

A

4 ÷ 2 = 2

6 ÷ 4 = 1.5

Thus not a geometric sequence

B

1 ÷ 1 = 1

2 ÷ 1 = 2

Thus not a geometric sequence

C

[tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex]

D

4 ÷ 7 = [tex]\frac{4}{7}[/tex]

1  ÷ 4 = [tex]\frac{1}{4}[/tex]

Thus not a geometric sequence

Then the geometric sequence is C

What's bigger 3.05kg or 3.56

Answers

Answer:

3.56

Step-by-step explanation:

Brainly wants me to write more but that's the answer

Which ordered pair would form a proportional relationship with the point graphed below?

On a coordinate plane, point (60, negative 20) is plotted.
(–10, 30)
(30, –15)
(–30, 10)
(80, –30)

Answers

Answer: its not b or d that leaves a and c its

                                       A                                        A

Answer:

it might be c its def not a for i got it wrong when i chose a

Step-by-step explanation:

dont get mad if im wrong i.d.k if i am right or wrong so im gonna say c?

if 2/5 of the sweets in a bag is 60, how
many sweets would represent 1/3

Answers

Answer:

50 Candy

Step-by-step explanation:

We know that 2/5 of the bag is 60 candy. By taking this information we can conclude that 1/5 of the bag is 30 candy. We know that 1/5 of the bag is 30, so 30 times 5 is 150 candy.

Now that we have found out that there is 150 candy total we can know divde 150 by 3 to find out how much candy is in 1/3 of the bag.

150/3 = 50 Candy

1/3 of the bag represent 50 candy.

The temperature of a city B (x) last week was lesser than or equal to - 9°C.
Represent this as an inequality. Does -8°C satisfy this inequality?
O xs-9, No.
O x2-9, No.
XS-9, Yes.
O x2-9, Yes.

Answers

Answer:

XS-9, yes#####################

One dozen cookies cost $5.50. At that rate, how much does one cookie cost?

Answers

Answer:

0,458$

Step-by-step explanation:

First you have to divide 5.50 by 12 to get the price for one cookie after doing that you get $.458333333333333

If the sum of seven odd consecutive numbers is 231, find the middle number.

Answers

this is your answer, good luck buddy

Answer:

33

Step-by-step explanation:

(1+x) + (3+x) + (5+x) + (7+x) + (9+x) + (11+x) + (13+x) = 231

7x + 49 = 231

7x = 231 - 49

7x = 182

x = 182/7

x = 26

To find the middle number;

7 + x

= 7+26

= 33

there are unspecified number of cows and hens in a den. if there are total of 30 heads and 80 legs in a den, find the number of cows and hens in a den.​

Answers

Let x be the number of cow.

Number of hens=180-x.

Since cows have 4 legs and hens 2,

So, 4x+2(180-x)=420.

or, 4x+360–2x=420

or, 2x=420–360

or, 2x=60

or,x=30.

So, number of cows is 30.

Step-by-step explanation:

Hope this helps you^_^ Please mark as the brainliest.

find the missing side​

Answers

Answer:

28.3

Step-by-step explanation:

tan = opposite/adjacent

tan (58) = 1,600335

opposite = tan * adjacent  

opposite = 1,600335 * 15 = 24,005018

For the Pytagorean theorem

x = √24,005018^2 + 15^2 = 28,306199 = 28.3

URGENT PLEASE HELP. In the triangles below, DF MN, DG MP, D P. Can you prove that DFG MNP? Explain your answer. (15 points)

Answers

Answer:

FDG=NMP

Step-by-step explanation:

You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture


Solve the inequality.
q + 12 - 2(q - 22) > 0

a.)9 <-32

b.)9 < 56

c.)9> -32

d.)9 > 56

Answers

[tex]\\ \sf\longmapsto q+12-2(q-22)>0[/tex]

[tex]\\ \sf\longmapsto q+12-2q+44>0[/tex]

[tex]\\ \sf\longmapsto q-2q+12+44>0[/tex]

[tex]\\ \sf\longmapsto -q+56>0[/tex]

[tex]\\ \sf\longmapsto -q>-56[/tex]

[tex]\\ \sf\longmapsto q<56[/tex]

Solve for b.
7
b
12
b= ✓ [?]
Pythagorean Theorem: a2 + b2 = c2
Enter

Answers

Answer: [tex]b=\sqrt{95}[/tex]

Step-by-step explanation:

To solve for b, we want to use the Pythagorean Theorem as given.

b and 7 are the legs, and 12 is the hypotenuse.

[tex]7^2+b^2=12^2[/tex]      [exponent]

[tex]49+b^2=144[/tex]     [subtract both sides by 49]

[tex]b^2=95[/tex]               [square root both sides]

[tex]b=\sqrt{95}[/tex]

Now we know [tex]b=\sqrt{95}[/tex].

Sam feels that students score better on math tests that take place on Fridays. The school provides Sam with the school math test average, but they cannot separate them by date taken. The school is too large for him to ask every student, so he randomly selects a sample of willing students' test scores after the next Friday's math test. He uses the method of hypothesis testing to compare the Friday scores against the true average of all scores. Frame the correct set of hypotheses for his research. Decide where the rejection region will lie.

Answers

Answer:

H0 : μ ≤ x

H1 : μ > x

The hypothesis :

The null hypothesis, H0 : μ ≤ x

The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;

The alternative hypothesis, H1 : μ > 8

For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.

Let the population mean value = x

The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :

H1 : μ > x

QUESTION 2 Write the slope-intercept form of the equation of the line through the gran point micia the grea slope through: (5,-2), siope--1 Oay=-2=6 Oby=-2-3 O cy=-x=3 Ody=-z-6​

Answers

Answer:

y = -x+3

Step-by-step explanation:

Slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -1x +b

Using the point for x and y we can calculate b

-2 = -1(5)+b

-2 = -5+b

Add 5 to each side

-2+5 = b

3 = b

y = -x+3

4.
Which point is NOT part of the solution of the inequality y < (3x + 1?
(-4, 12)
(0,0)
(2, -9)
(3, 15)

Answers

Answer: The non solutions of the inequality are A and D.

Step-by-step explanation:

Find the average rate of change of a function that contains the points (-2,3) and (2,5). -2, -1/2, 1/2, 2

Answers

Answer:

The answer is "[tex]\frac{1}{2}[/tex]".

Step-by-step explanation:

Given points:

[tex](-2,3)\\\\(2,5)\\\\[/tex]

average rate=?

[tex]x_1=-2\\\\y_1=3\\\\x_2=2\\\\y_2=5[/tex]

[tex]average\ rate=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

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