A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. Conduct a hypothesis test to determine if the means are statistically the same assume alpha is 0.05.

Answers

Answer 1

Answer:

We accept H₀. We don´t have enough evidence to support the difference between the two means

Step-by-step explanation:

Group 1 : Comunity College

Sample:

size  :   n₁  = 54

Sample mean    x₁  = 947

Sample standard deviation     s₁ = 254

Group 2 : Local University

Sample

size  :  n₂  =  66

Sample mean :  x₂  = 1011

Sample standard deviation    s₂  =  87

Significance level  α  = 0,05      α  =  5 %      CI = 95 %

Both samples are with n> 30 so we can use z table for the test

from z-table we find  z(c)  =  1,96

The problem statement establishes to run a hypothesis test to determine if the means are statistically the same  ( or different) then we use two-tail-test

Hypothesis Test

Null Hypothesis                        H₀             x₁   -  x₂  = 0 or    x₁  = x₂

Alternative hypothesis             Hₐ             x₁  -  x₂  ≠  0  or    x₁ ≠ x₂

To calculate

z(s)  =  (  x₁   -  x₂  ) / √ s₁²/n₁  + s₂²/n₂ )

z(s)  =  947  -  1011 / √  (254)²/54   +  (87)² / 66

z(s) = -  64  /√ 1194,74  +  114,68

z(s) =  - 64  / 36,185

z(s) =  - 1,77

Comparing modules of  |z(c)|  and |z(s)|

z(s) < z(c)

Then z(s) is in the acceptance region we accept H₀ . There is not enough evidence to support differences in the means of the two groups


Related Questions

ANSWER......................

-2x+8x 4>−8

Answers

Answer:

x= 3/2 after u like simplify

Step-by-step explanation:

1 Add 44 to both sides.

8x=8+4

8x=8+4

2 Simplify  8+48+4  to  1212.

8x=12

8x=12

3 Divide both sides by 88.

x=\frac{12}{8}

x=

8

12

4 Simplify  \frac{12}{8}

8

12

  to  \frac{3}{2}

2

3

.

x=\frac{3}{2}

x=

2

3

I’ll give points + brainalist please help!!

Answers

Step-by-step explanation:

x+6+90+3x-4=180 - - > x=22

So, the angle is 22+6=28°

It costs $90 720 to stay in a
hotel for 7 days. How much does it
cost to stay for 3 days?​

Answers

If you find the cost to stay in the hotel for one day, then you can find the cost to stay for any amount of days. (The big assumption in the question is that the cost is constant and it’s value per day doesn’t change over time)

90720/7 = $12960/day which means it costs 3 times this for three days

So the answer is $38,880

Answer:

$38 880

Step-by-step explanation:

So for 7 days it costs $90 720

First we need to find what 1 day cost

So you will divide $90 720 by 7

90 720÷7= $12 960

To find the cost for 3 days your gonna multiply $12 960 by 3

12 960×3= $38 880

WHO WAS IN PARIS ??????????????????????

Answers

Answer:

I don't think I'm allowed to say that word. But it is also a discriminatory phrase used by people in the slave days.

But it's a song by Kayne

________ in Paris

Step-by-step explanation:

Answer:

guys were in Paris

Step-by-step explanation:

Given a polynomial f(x), if (x + 7) is a factor, what else must be true

Answers

Answer:

Step-by-step explanation:

at x = -7, the polynomail function f(x) has a zero (x-intercept)

How many teams of at least 5 students and at most 7 students can be chosen from 15 students?​

Answers

5 Students = 3 Teams

7 Students = 2 Teams

To find out the answer we can use the following equation

[tex]\frac{Total}{Students} \\\\\frac{15}{5} = 3 \\\frac{15}{7} = 2.14... \\[/tex]

If you run into a decimal number, like we did when we had a team of 7, you can just round down!

Answer:

3

Step-by-step explanation:

least students= 5

maximum students = 7

total number of students = 15

no: of grps if 5 students per grp = 15/5 = 3

no: of grps if 7 students per grp = 15/7 = 2.14 ~ 2

However, if they ask us how many teams in final we can say 3 as it is the maximum number of groups that can be formed b a grp of 15 students ... if we make 7 students per grp... one would be left out .

calculate the value (1+√2)^4 - (1-√2)^4 without using table​

Answers

[tex](1 + \sqrt{2^{4} }) = 5[/tex]

[tex](1 - \sqrt{2^{4} } ) = - 3[/tex]5--3=8

Find the measure of minor arc QN.
M
0
K
IN
38
Р

Answers

Answer:

142°

Step-by-step explanation:

Minor arc QN = m(MN) + m(QM)

n(MN) = m<MKN = 90° (central angle = measure of intercepted arc)

m(NO) = m<NKO = 38° (measure of intercepted arcs)

m(QM) = 180° - (m(MN) + m(NO)) (half circle)

Substitute

m(QM) = 180° - (90° + 38°)

m(QM) = 52°

✔️Minor arc QN = m(MN) + m(QM)

Substitute

Minor arc QN = 90° + 52° = 142°

The times that a cashier spends processing individual customers' orders are independent random variables with mean 4.5 minutes and standard deviation 4 minutes. Find the number of customers n such that the probability that the orders of all n customers can be processed in less than 2 hours, is approximately 0.1. (Round your answer to the nearest integer.)

Answers

Answer:

n is approximately 29 customers

Step-by-step explanation:

The given parameters are;

The mean duration of an order, μ = 4.5 minutes

The standard deviation, σ = 4

2 hours = 120 minutes

We get;

The z-score when the probability, P = 0.1 is P(z < 0.53983)

We have;

[tex]z = \dfrac{\dfrac{ \sum X_i}{n} - \mu_{\overline x}}{\dfrac{\sigma}{\sqrt{n} } }[/tex]

Therefore, we get;

[tex]z = \dfrac{\dfrac{120}{n} - 4.5}{\dfrac{4}{\sqrt{n} } } = 0.53983[/tex]

[tex]\dfrac{4}{\sqrt{n} } \times 0.53983 = \dfrac{120}{{n} } -4.5[/tex]

With the aid of a graphing calculator, we get;

81·n²-4320·n + 57600 - 18.6506514278·n = 0

Factorizing gives;

(n - 24.3011921023)·(n - 29.2623961869)·81124141329 = 0

Therefore;

n ≈ 24 or n ≈ 29

Therefore, we take the largest number, n ≈ 29, to make the sample approximately normal

i don’t know how to solve this and i need help

Answers

Answer:

y-intercept: (0, 0.4)

x-intercept: (0.3, 0)

Step-by-step explanation:

The x coordinate always comes before the y coordinate

Find the length of a picture frame whose width is 3 inches and whose proportions
are the same as a 9-inch wide by 12-inch long picture frame.
o 6 inches
O 36 inches
o 4 inches
o 21 inches

Answers

the length of the frame is 21 inches.

I NEED HELP CLICK HERE PLEASE

Answers

Answer:

it is the one above the last one

Step-by-step explanation:

i hope it helps

Answer:

x-5

Step-by-step explanation:

when x=(a number) then you -5 you find 5 less then a number therefore x-5 is the anwser

the cultural revolution ended up by early 1970s.in which three ways did it cause devastation in China ​

Answers

Answer:

Ancient cultural artifacts and historical buildings were destroyed.

How much salt is needed to fill a pit (rectangular) that is 8 m deep and 16 m wide and 4 m long? Show work

Answers

Answer:

512

16 · 4 = 64

64 · 8 = 512

The stadium has fixed expenses of $10,000 per event. Last month it put on three major events and spent $72,000, $47,500, and $65,000 in advertising for them respectively. According to the accountant, these events earned a total of $482,000 in revenue. What was the stadium's profit margin last month?

Answers

Answer:

267,500

Step-by-step explanation:

10,000 × 3 = 30,000

30,000 + 72,000 + 47,500 + 65,000 = 214,500

482,000 - 214,500 =267,500

The stadium's profit margin last month was 267,500 dollars.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that stadium has fixed expenses of $10,000 per event.

Since it put on three major events and spent $72,000, $47the,500, and $65 this event raising for them last month respectively

Thus,

10,000 × 3 = 30,000

Total = 30,000 + 72,000 + 47,500 + 65,000 = 214,500

According to the accountant, total amount these event earned ;

$482,000 in revenue.

So,

482,000 - 214,500 =267,500

Hence, the stadium's profit margin last month was 267,500 dollars.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ6

Abdallah earns AED 30 for each car he washes. He also gives his little brother AED 20 form his weekly earnings. This week, he wants to have at least / minimum AED500 in spending money. Which inequality represents the number of cars that he must wash?Single choice.


A.30 x + 20 > 500

B.-30x+20 <500

C.30x -20 ≥ 500

D.20x +30≥500

Answers

Answer:

Step-by-step explanation:

It takes 24 hours to drive from town A to town B. At an average speed of 31 mph, how far is it?

Answers

Answer:

744 miles

Step-by-step explanation:

each hour is 31 miles

the drive is 24 hours

31*24=744

Answer:

744 miles

Step-by-step explanation:

Solve for x, then
find the
measurement of
the tangents.

Answers

Here, as the tangents are given above in variable length with radius of the circle as r = 4.4 cm, we get as

since the sides opposite to the equal angles are always equal we get as,

x-2 = 2x-10

===> -2 +10 = 2x-x

==> 8 = x

hence the measurement of the Tangents is,

putting x = 8

2(8)-10 ==> 16-10 ==> 6 cm

length of each tangent is 6 cm.

Answer:

8

Step-by-step explanation:

2x - 10 = x - 2

2x - x = - 2 + 10

x = 8

What is the value of x?

Answers

Answer:

91.5

Step-by-step explanation:

I did the math. Add up all the numbers and then, divide the result by two to get 91.5

How many ways can a dozen books be placed on four distinguishable shelves if no two books are the same, and the positions of the books on the shelves matter (ie. if Book 1 is to the left of Book 2, that is different from if Book 1 is to the right of Book 2)

Answers

Answer:

217945728000 ways

Step-by-step explanation:

Given

[tex]Books = 12[/tex] --- 1 dozen

[tex]Shelf = 4[/tex]

The given condition implies that;

[tex]Book\ 1 = 4[/tex] ---- any of the 4 shelves

[tex]Book\ 2 = 5[/tex] --- any of the 4 shelves and either ways of book 1

[tex]Book\ 3 = 6[/tex]  --- any of the 4 shelves and either ways of book 1 and 2

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

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

----------

[tex]Book\ 12 = 15[/tex]

So, the number of ways is:

[tex]Ways = 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15[/tex]

[tex]Ways = 217945728000[/tex]

(MATH) (6) ((PHOTO))
label is m​

Answers

Multiply the length by the height:

6.5 x 2 = 13

The width is the volume divided by 13

Width = 52/13 = 4 m

Help meeeee 130° is what type of angle?
Obtuse
Acute

Answers

Answer:

Obtuse

Step-by-step explanation:

Obtuse is larger then 90°

Right angle is exactly 90°

Acute angle is smaller then 90°

This recipe makes 6 portions of chocolate mousse.
Cali has 600 g chocolate, 36 eggs, 100 mL of lemon juice and 200 g of sugar.
Cali makes 12 portions of mousse by following this recipe.
How much of each ingredient will she have left?

Recipe: Serves 6
180 g chocolate
9 eggs
15 mL lemon juice
60 g sugar

Answers

Answer:

240 g chocolate

18 eggs

70 mL lemon juice

80 g sugar

Step-by-step explanation:

600 g choc - (2 x 180) = 240 g left

36 eggs - (2 x 9) = 18 left

100 mL lemon - (2 x 15) = 70 mL left

200 g sugar - (2 x 60) = 80 g left

Answer:

Ingredients will have left

Chocolate

600 - 2*180 = 240 g

Eggs

36 - 2*9 = 18

Lemon juice

100 - 2*15 = 70 ml

Sugar

200 - 2*60 = 80 g

Sharon paid $19.50 sales tax on a new camera. If the sales tax rate is 6.5%, what was the total cost of the camera including tax? Round to the nearest cent (hundredths place).

Answers

Answer:

i think its 1.2 dollors im not 100 percent sure

Step-by-step explanation:

2) Assinale a alternativa correta: *
1 ponto
Imagem sem legenda
a) 8
b) 12
c) 14
d) 16

Answers

Answer:

Step-by-step explanation:

¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.

Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.3 unitsmL. Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 unitsmL. Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal plac

Answers

Answer:

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3.3 units/mL

This means that [tex]\mu = 3.3[/tex]

Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 units/mL.

This means that when [tex]X = 5.9[/tex], Z has a pvalue of 0.98. So Z when X = 5.9, has a pvalue if 0.98, that is, Z = 2.054. We use this to find [tex]\sigma[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{5.9 - 3.3}{\sigma}[/tex]

[tex]2.054\sigma = 2.6[/tex]

[tex]\sigma = \frac{2.6}{2.054}[/tex]

[tex]\sigma = 1.2658[/tex]

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

The figure consists of parallel lines and transversal. Find the value of x and y.

Will give BRAINLIEST!!!!

Answers

Answer:

x = 28 y = 122

Step-by-step explanation:

Transversal Lines would be 112 and 4x

112 / 4 = 28

x = 28

y and 122 are alternate interior angles

so y = 122

hope this helps ^^

Find the volume of a pyramid with a square base, where the perimeter of the base is 16.1 ft and the height of the pyramid is 12.1 ft. Round your answer to the nearest tenth of a cubic foot?

Answers

Answer: V= 65.3 ft^3

de una bolsa donde hay veinte bolas numeradas del 1 al 20 extraemos una, A: obtener un número par , B: obtener número primo, C: obtener un número tal que su suma de cifras sea 5,
a) comprobar que cumplan con las propiedades asociativa y distributiva en los sucesos, b) comprobar que se cumplan con las propiedades de las leyes de morgan entre los sucesos AyC , ByC, AyB , c) efectúa las siguientes operaciones en los sucesos unión entre AB, BC, AB, intersección entre AB,BC, AB, diferenciación entre AB, BA, CA, AC, ​

Answers

Respuesta.

Para resolver este problema se aplica la ecuación de la probabilidad, cuya ecuación es la que se presenta a continuación:

P = Nf/N * 100%

Los datos son los siguientes:

Nf = 1
N = 20

Sustituyendo los datos en la ecuación se tiene que la probabilidad es la siguiente:

P = 1/20 * 100%
P = 5%

La probabilidad de extraer el número que deseas en un intento es de 5%.

A cylindrical storage tank has a depth of 5 ft and a radius measuring 3 ft. The tank needs to be painted. If 1 pint of paint covers 50 ft2 and you can only purchase full pints of paint, how many pints must be purchased to paint the exterior of the storage tank? (Use your calculator value of . Round your answer up to the nearest whole number.)

Answers

Answer:

4 pints

Step-by-step explanation:

Well to figure this one out we need the surface area of the cylinder

The formula is :  SA=2πrh+2πr^2

Don't worry about memorizing most of these formula's except the basic ones  for Surface area and Volume in a test the formula's will be given but I do recommend practicing them

Any way lets keep going

Depth of 5ft basically means 5ft in height (to let you know)

2*pi*3*5+2*pi*3^2

SA=150.796447372 ft^2  rounded is basically 151

any way we know one pint paints 50 ft^2

so  151/50 is 3 remainder 1 so you will need 4 pints except you will barley use 1 pint

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