UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01

Answers

Answer 1

Answer:

There is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

Step-by-step explanation:

In this case we need to test whether the mean starting salary of a graduate with a bachelor in economics is $48,500.

The information provided are:

[tex]\bar x=\$43350\\s=\$15000\\n=50\\\alpha =0.01[/tex]

The hypothesis for the test can be defined as follows:

H₀: The mean starting salary of a graduate with a bachelor in economics is $48,500, i.e. μ = 48500.

Hₐ: The mean starting salary of a graduate with a bachelor in economics is different from $48,500, i.e. μ ≠ 48500.

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

 [tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}[/tex]

   [tex]=\frac{43350-48500}{15000/\sqrt{50}}\\\\=-2.42773\\\\\approx -2.43[/tex]

Thus, the test statistic value is -2.43.

Compute the p-value of the test as follows:

 [tex]p-value=2\times P(t_{49}>-2.43)=0.0188[/tex]

*Use a t-table.

Thus, the p-value of the test is 0.0188.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.0188 > α = 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.


Related Questions

I don’t understand this

Answers

Answer:

9 to the 5th power

Step-by-

Answer:

n=5  I think...

Step-by-step explanation:

9^7/9^n = 9^2

Multiply by (n)

9^7-n = 9^2

7-n=2

7-n=2: n=5

-n=-5

Simplify:

n=5

What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?

4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6

Answers

Answer:

the answer is 1/6

i got it right edg 2020

Step-by-step explanation:

dont come at me because we had the same answer

Answer: 1/6

Step-by-step explanation:

10) Sarah is 3 years older than her sister Mary.
Together their ages add up to 23. How old is Mary?

Answers

Answer:

20

Step-by-step explanation:

20 - 3

Sarah is 3 years older so 23 is going to be subtracted.

a) cual es la resistencia equivalente de todo el circuito
B) cual es la corriente I de la bateria​

Answers

A is the answer to this problem

Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)

Answers

Answer:

The coordinates of the midpoint of LB are (1, 3.5)

Step-by-step explanation:

The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let us use this rule to solve the question

∵ M is the midpoint of segment LB

∵ The coordinates of point L are (8, 5)

x1 = 8 and y1 = 5

∵ The coordinates of point B are (-6, 2)

x2 = -6 and y2 = 2

→ Substitute these values in the rule of the mid point above

∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]

→ Remember (+)(-) = (-)

∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]

∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]

M = (1, 3.5)

The coordinates of the midpoint of LB are (1, 3.5)

If TSP and PSW are supplementary, and TSP is two times as large as mPSW, what is mTSP?

Answers

Answer:

[tex]\huge\boxed{120 \textdegree}[/tex]

Step-by-step explanation:

In order to solve for m∠TSP, we can use basic angle relationships and equations.

Let’s assume m∠PSW is [tex]x[/tex]°

We know that if two angles are supplementary, their angle lengths will add to 180°.

We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.

We can add these two angles together and get 180°. Then you can solve for x (PSW)

[tex]x+2x=180[/tex] [tex]3x=180[/tex] [tex]x=60[/tex]

So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.

[tex]60 \cdot 2 = 120[/tex]

So m∠TSP is 120°.

Hope this helped!

(2a²b) (6ab) =
Exponents

Answers

Answer:

The answer is (2a²b)(6ab)=12a³b².

If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4.​

Answers

Answer:

4(2x-3)

Step-by-step explanation:

Answer:

4 x (2x-3)

I hope it helps

Pls mark as Brainliest

Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
O y=*+3
O y=-*x+3

Answers

Answer: y= -2x + 3

Step-by-step explanation:

PLEASE HELP ME What is the amount of rain fall for the 1M 6 months of the year in Kennedale Texas
Arlington Texas Rainfall Amounts
Month
January
February
March
April
May
June
Rainfall Amount
+0.5 inches
-1.26 inches
+0.32 inches
+3.71 inches
- 1.27 inches
-2.40 Inches
A 2 inches
B. -0.4 inches
C 0.8 inches
D. -1.3 inches
Loo

Answers

Answer:

.5

Step-by-step explanation:

Which point is located at (-1,3)?

Answers

Answer:

C

Step-by-step explanation:

1 back, 3 up.

Simple when graphing you use the form (x,y)



Therefore the answer is Point C.

X is -1 and Y is 3

Please give brainliest

Complete the ordered pair for both equation. Will give brainiest

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So if you know that order pairs go like (x,y) that means that the 12 in (12,y) is the x so if we plug into the equation we can get y...

[tex]y=\frac{2}{3} (12)+ 5\\y=8+5\\y=13[/tex]

So the order pair is (12, 13).

Now for the next one it's the same concept but this time we'll plug in for y because the -2 is in the (x, y) so we have to find the x...

[tex]5x-9(-2)=3\\5x+18=3\\5x=-15\\x=-3[/tex]

So the order pair is (-3, -2).

¿Cuál es la desigualdad de 3 x - 4> 4-4-3 x

Answers

3 x - 4> 4-4-3
3x-4>-3
suma 4 a ambos lados:
3x>1
dividir 3 en ambos lados:
x>1/3

mass and weight math​

Answers

Answer: There is 10,000 ug in 1 cg

What is |5 x -3|?

-15


-8


15


8

Answers

Answer:

Step-by-step explanation:

Gfggg

Can you simplify -6/0 ?

Answers

Answer:

It can also be termed as "undefined".

Step-by-step explanation:

Hope that this post has helped you out in some way! :)

heather has red and green pens in her stationery cupboard. the ratio of green pens to the total number of pens is 4:11
what fraction of heathers pens are green
what is the ratio of green pens to red pens
heather has 56 red pens. how many green pens does she have

Answers

Step-by-step explanation:

Pen colors given  = Red and green

 Ratio;

         Green pen : Total pen

                4         :     11

Solution:

1. what fraction of heathers pens are green;

   Fraction = [tex]\frac{green pen}{total pen}[/tex]  = [tex]\frac{4}{11}[/tex]

2. Ratio of green pens to red pens:

     let the multiples = x

        Green pen   Red pen       Total pen

            4x                  ?                    11x

    Red pen  = 11x - 4x = 7x

Ratio of green pen to red pen:

            4 : 7

3. heather has 56 red pens. how many green pens does she have

   Number of red pen  = 56;

   Number of green pens = ?

     Since the ratio is;

          4 : 7

 Number of green pen = [tex]\frac{56 x 4}{7}[/tex]   = 32

Find the slope of the line going through the points
(7,13) and (7,6). Write your answer in simplest
form. If the slope is undefined, write "undefined".

Answers

Answer:

Dont ask me

Step-by-step explanation:

Okay!!!!!

The slope would be -1.

In order to find this answer use the equation m=y2-y1/x2-x1 to plug in the value of the points and subtract. Then , if you plug it in correctly, you would get -7/7 which simplifies to -1.

Hope this helped:)

What is:

6t-2/4 + 4 (t+1) when t=5

Answers

Answer:

2 /20t+7

​  

 

Step-by-step explanation:

6t-2/4+4(t+1). (Value of t=5)
=> 39.5

you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Which table has a constant of proportionality between y and x of 0.3

Answers

when you multiply the x number in the table c by 0.3 you get the same answer as the one in the y column. The constant of proportionality  is the value that stays constant in the ratio. Since when you multiply each number in the x column by 0.3 and you always get the number in the y column it shows that the table c is correct.

Please help me if you know it thank you so much

Answers

Answer:

a) 9 beats

b) 9 beats per minute

c) y=9x

d) 180 times

A study was being conducted about birth weights of babies at a local hospital and found the average to be 7.6 pounds with a standard deviation of 1.3 pounds (the distribution was approximately normal). Many pre-mature births weights are in the lowest 1% of births. What would be the birth weight associated with the lowest 1%?

Answers

Answer:

The birth weight associated with the lowest 1% is 4.6 pounds.

Step-by-step explanation:

Let X represent the birth weights of babies.

It is provided that [tex]X\sim N(7.6,1.3^{2})[/tex]

It is also provided that many pre-mature births weights are in the lowest 1% of births.

Let x represent the births weights that are in the lowest 1% of births.

That is, P (X < x) = 0.01.

⇒ P (Z < z) = 0.01

The corresponding z-score is, z = -2.33.

Compute the value of x as follows:

[tex]z=\frac{s-\mu}{\sigma}\\\\-2.33=\frac{x-7.6}{1.3}\\\\x=7.6-(1.3\times 2.33)\\\\x=4.571\\\\x\approx 4.6[/tex]

Thus, the birth weight associated with the lowest 1% is 4.6 pounds.

5) Kareem Abdul-Jabbar holds the NBA record for the most points scored in a
career, 38,387. In the first 280games of his career, LeBron James has scored 7446
points. At this rate, how many more games willLeBron James need to play to
break Abdul-Jabbar's career record?

Answers

Answer:

Step-by-step explanation:

LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.

What is rate of change?

A rate of change is a rate that describes how one quantity changes in relation to other.

Given world record Kareem Abdul-Jabbar = 38,387 points.

Games played by LeBron = 280 games

Score of LeBron = 7446 points

Hence for each point LeBron has to play = 280/7446 games

Therefore to break the world record number of games required

                                       = (280*38,387)/7446

number of games required = 1443.5

or, number of games required = 1444

Hence,at this rate LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.

More about Rate of change :

https://brainly.com/question/13715523

#SPJ2

which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST

Answers

Answer:

I believe it is 1 and 3 only. (I & III only)

Step-by-step explanation:

5(-1) = -5

-5 - 10 is less than -5, so I is true.

5(9) = 45

45-10 is not less than -5, so II is false.

5(1) =5

5-10 is equal to -5, so III is true.

Answer:

I. and III.

Step-by-step explanation:

5x - 10 ≤ -5

I. -1

5(-1) - 10 ≤ -5

-5 - 10 ≤ -5

-15 ≤ -5

-15 is less or equal to -5, thus I. is an option

II. 9

5(9) - 10 ≤ -5

45 - 10 ≤ -5

35 ≤ -5

35 is not less or equal to -5, thus II. is not an option

III. 1

5(1) - 10 ≤ -5

5 - 10 ≤ -5

-5 ≤ -5

-5 is less or equal to -5, thus III. is an option

if m<2 = 115 degrees what is m<1 ? (There you go)

Answers

Answer:

65

Step-by-step explanation:

180 - 115 = 65

This is the easiest way to think about and do it but your teacher might want you to do it a different way.

Answer:

65

Step-by-step explanation:

What line is perpendicular to y=2/7x+11/7 travel through (-3,8)

Answers

Answer:

2y- 16 = 7x + 21

Step-by-step explanation:

Y= mX+ c

y = (2/7)x + 11/7

m= gradient= 2/7

The perpendicular gradient should be the negative reciprocal of the gradient we have now.

which is : -1÷(2/7) = -7/2

Now for the perpendicular line equation, we have:

y = 8x= -3m= 7/2

y - y1 = m ( x - x1 )

y - 8 = 7/2 ( x + 3 )

2y - 16 = 7x + 21

NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Tell me what the answer is for these 3 questions

Answers

Answer:

First one: y-intercept = 1

ordered pair: (0,1)

Second one: y-intercept = -1

ordered pair: (0,-1)

Third one: y-intercept = 4

ordered pair: (0,4)

Answer:

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

Step-by-step explanation:

The y-intercept is the line crossing the y-axis

(0, number here that cross y-axis)

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

A shoe company distributed 4,528 boxes of shoes equally among 4 different stores. How many boxes of shoes did each store receive?

Answers

Answer:

1,132

Step-by-step explanation:

4,528÷4=1,132ooooo

Always, Sometimes, or Never?

5x>0

Answers

Answer:

Sometimes

Step-by-step explanation:

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