A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,000.

a. Construct a 95% confidence interval for the mean starting salary of college graduates.

a. 50188 to 57812$
b. 45,0000 to 50,000$
c. 48,000 to 60,000$
d. 50,000 to 54000$

b. The National Association of Colleges and Employers reports that the mean starting salary for 2017 college graduates is $50,516. Does your confidence interval (part a) indicate that starting salaries have significantly changed since 2017? Why or why not?

Answers

Answer 1

Answer: a.) $50188 to $57812

Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± [tex]z\frac{s}{\sqrt{n} }[/tex]

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± [tex]1.96.\frac{6000}{\sqrt{12} }[/tex]

54,000 ± [tex]1.96\frac{6000}{3.464}[/tex]

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.


Related Questions

Savanna spent a total of $116 on 30 plates, 40 cups, and 4 packages of napkins. Matthew spent $1000 on 250 plates, 300 cups, and 50 packages of napkins. Justin spent $189 on 55 plates, 55 cups, and 6 packages of napkins.

Which system of linear equations could be used to determine the price of each type of party supply?

Answers

Answer: rate this 5 stars or your gay

Step-by-step explanation:

Just do it

What is 11% of R250?

Answers

Answer:

just like you did it all right before the text was released

Answer:

1 percent of 250? = 27.5.

Step-by-step explanation:

help pleaseee!!!! I’ll give brainliest

Answers

It’s the first one bc you cancel out a by subtracting on both sides and then divide by 12 on both sides to find x

what is 98.704 in expanded using powers of ten

Answers

Answer:

[tex]9.8704 * 10^1[/tex]

Step-by-step explanation:

The standard form is called the scientific notation expressed generally as;

[tex]A * 10^n[/tex]

A is an integer between 1 and 10

n is ant integer or fraction

Given the decimal value 98.704, we ill shift the decimal point to the back once to have;

98.704 = [tex]9.8704 * 10^1[/tex]

Note the when the decimal point is shifted backwards the value of n is always positive. Hence the expansion in power of 10 is [tex]9.8704 * 10^1[/tex]

One angle of an isosceles triangle measures 56°. Which other angles could be in that isosceles triangle? .

Answers

Answer:

68 or 62 degrees

Step-by-step explanation:

If the 56 degree angle is one of the base angles of the triangle, you can multiply it by two (because base angles of an isosceles triangle

are congruent), and then subtract 180 (because you must subtract the sum of two angles from 180 to get the measure of the third angle).

If the 56 degree is not a base angle, then you can use this equation to get the measurement of each base angle:

(180-56)÷2=measure of each base angle

180=sum of angle measures in a triangle

56=measure of third angle

With 180-56, you get the sum of the base angles, so you must divide by two. (Base angles of an isosceles triangle are congruent)

The other angles that could be in that  isosceles triangle should be considered as the 56°, 68°, or 62°.

Calculation of the measurement of the angles:

Since One angle of an isosceles triangle measures 56°.

So in the case when  56° angle is one of the two congruent angles, so the remaining angles are 56° and 180-2(56) = 68°

Now

In the case when the is 56° Is not congruent to either of the other angles, so each of the remaining two angles should be [tex](180-56)/2[/tex]= 62°.

hence, The other angles can be 56°, 68°, or 62°.

learn more about an angle here: https://brainly.com/question/24283305

Answer this question if cool

Answers

Answer:

The answer to your question is given below

Step-by-step explanation:

From the question given above, the mean score is 23.

Thus, we can obtain the distance from the mean (absolute deviation) by using the following formula:

Mean deviation = | mean – Score |

Mean = 23

For Score 21:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 21 | = 2

For Score 22:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 22 | = 1

For Score 28:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 28 | = 5

For Score 29:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 29 | = 6

SUMMARY:

Score >> Mean >> Absolute deviation

21 >>>>> 23 >>>>> 2

21 >>>>> 23 >>>>> 2

21 >>>>> 23 >>>>> 2

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

28 >>>>> 23 >>>>> 5

29 >>>>> 23 >>>>> 6

Two ships leave the port at 12 noon. Ship A is traveling at the bearing of 146 at 20 miles per hour, and ship B travels at a bearing of N32 E at 28 miles per hour. Approximate how far apart ships are at 3 PM. At what bearing ship A is from ship B at 3 PM.

Answers

Answer: [tex]d = 103.23 miles[/tex] apart.

Step-by-step explanation:

given data:

ship a = 20miles. = 60miles

ship b = 28miles. = 84miles

time interval = 3hrs.

θ = 90

[tex]d = \sqrt{a^{2}+b^{2}-2ab (cos90) }[/tex]

[tex]d = \sqrt{60^{2}+84^{2}-2(60)(84) *(cos90) }[/tex]

[tex]d = \sqrt{3600+7056-10080*(cos90) }[/tex]

[tex]d = \sqrt{10656-10080*(cos90) }[/tex]

[tex]d = \sqrt{10656-0[/tex]

[tex]d = \sqrt{10656[/tex]

[tex]d = 103.23 miles[/tex]

Best way to learnMath​

Answers

Answer:

ramrari focus and concentration garnu. Ani lightly linu SABAI problems haru .

Answer:

the best way to learn maths is by regular hard work and by practicing of maths daily

Solve the proportion

fraction numerator 15 t over denominator 5 end fraction equals fraction numerator 2 t plus 3 over denominator 6 end fraction

Answers

Answer:

t = 3/16

Step-by-step explanation:

Solve the proportion fraction numerator 15 t over denominator 5 end fraction equals fraction numerator 2 t plus 3 over denominator 6 end fraction

From the above question, we are to solve for t

The above expression is written Mathematically as:

15t/5 = 2t + 3/6

We cross Multiply

15t(6) = 5(2t + 3)

90t = 10t + 15

Collect like terms

90t - 10t = 15

80t = 15

t = 15/80

t = 3/16

Please help me with the pic attached below.

Answers

Answer/Step-by-step explanation:

1. m<MNQ = m<P + m<Q

Reason: exterior angle theorem of a triangle.

2. 132° = 3x + 54°

Reason: Substitution

3. x = 26

Reason: Algebra

Solving algebraically, x can be found as follows:

132° = 3x + 54°

132° - 54° = 3x (subtraction property of equality)

78° = 3x

78°/3 = 3x/3 (division property of equality)

26 = x

x = 26

Pablo is binging his favorite TV show right before he has to go into work and two hours before he has to go in for his next
shift. Assuming it takes about 20 minutes for pablo to get ready, and each episode his 25 minutes long, how many
episodes can pablo watch before he has to begin getting ready?
A. Six episodes
B. Five episodes
C. Four episodes
D. Seven episodes

Answers

Answer:

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

PLEASE HELP IF UR GOOD AT MATH!!!

Answers

it’s a! super easy math

Help please
Sarah's rectangular dining table has a area of 9000 sq ft and the length is 20 in less then four time the width find the length and width

Answers

Given that,

The area of a rectangular dining table = 9000 sq ft

Solution,

Let the width is b ft. Length is 20 less then four time the width.

Length = (4b-20) ft

The formula for the area of a rectangle is given by :

A = lb

Substitute all the values,

[tex]9000=b(4b-20)\\\\4b^2-20b-9000=0\\\\\text{It is a quadratic equation, when we solve it we get :}\\\\b=50,-45\ feet[/tex]

Neglecting negative value, b = 50 ft

Length, l = (4(50)-20)

l = 180 ft

So, the length is 180 ft and width is 50 ft.

There are 28 rows in a corner section of a professional football stadium. Each row
contains 4 more seats than the row in front of it. If there are 15 seats in the first row, 19
seats in the second row, 23 seats in the third row, and so on, which equation represents
the number of seats “s”in the “nth” row?

A. s(n)= 11 +4n

B. s(n) = 15+41

С. s(n) = 28 + 4n

D. s(n) = 11n + 4

Answers

Answer: A. S(n) =11+4n

Step-by-step explanation:first row is 15 so 11+(1×4) and 11+(4×2)=19 and so onn.

PLEASE HELPPPPPPPPP! 44 POINTS

Answers

Answer:

#6-

1. 9x30=(9x10)+(9x10)+(9x10)

2. 9x30=9(10+10+10)

3. 9x30=270

#7-

1. 7x50=7x(10+10+10+10+10)

2. 7x50=7x(25+25)

3. 7x50=350

#8-

1. 2x90=(2x45)+(2x45)

2. 2x90=90+90

3. 2x90=180

Step-by-step explanation:

Hope this helps!

50 students live in a dormitory. The parking lot has the capacity for 30 cars. Each student has a car with probability 12 , independently from other students. Use the CLT (with continuity correction) to find the probability that there won't be enough parking spaces for all the cars.

Answers

Answer:

P(X is greater than 30) = 0.06

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.5

Sample size = 30

The Binomial can be approximated to normal with:

[tex]\mu = np = 50 \times 0.5 \\ \\ \mu= 25[/tex]

[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536[/tex]

To find:

P(X> 30)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5

Normal distribution:

x = 30.5, [tex]\mu[/tex] = 25, [tex]\sigma[/tex] = 3.536

Using the z test statistics;

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

[tex]z = \dfrac{30.5 - 25}{3.536}[/tex]

[tex]z = \dfrac{5.5}{3.536}[/tex]

z = 1.555

The p-value for P(X>30) = P(Z > 1.555)

The p-value for P(X>30) = 1 - P (Z< 1.555)

From the z tables;

P(X> 30) = 1 - 0.9400

Thus;

P(X is greater than 30) = 0.06

(x-5^2)-7=93

Solve using square roots

I’m just unsure whether the answer will be x=-5+- 10 or x=5+-10

Answers

Answer:

Step-by-step explanation:

steps are stated below

step 1

(x-5^2)-7=93  equation

step 2

x-5^2-7=93  remove brackets

step 3

x-5^2-7=93  simplify

x+(-25)+(-7)=93

step 4

(x)+(-25+-7)=93  combine the tems

x+(-32)=93

step 5

x+(-32)=93  change the symbols

x-32=93

step 6

x-32(+32)=93(+32)  add +32 to both sides so we can get our answer

x=-0=93+32

x=125

Answer:

x=15, x=-5

Step-by-step explanation:

Solve:

[tex](x-5)^2-7=93[/tex]

Adding 7:

[tex](x-5)^2=93+7[/tex]

[tex](x-5)^2=100[/tex]

Taking square roots:

[tex]x-5=\sqrt{100}[/tex]

Recall a square root has two possible answers:

[tex]x-5=\pm 10[/tex]

Adding 5:

[tex]x=5\pm 10[/tex]

There are two answers:

[tex]x=5+ 10=15[/tex]

[tex]x=5- 10=-5[/tex]

Answers: x=15, x=-5

What is i raised to the 5th power?
Complex numbers algebra

Answers

the answer would be i

On Monday, Cody bought 414141 cherries. On Tuesday, Cody ate 191919 cherries. Now, she wants to divide the remaining cherries into bags of 444 cherries each.
Estimate how many bags of 444 cherries Cody can make.
Choose 1 answer:

Answers

Jawapan die ialah : 414141 ditolakkan dgn 191919. Kemudian jwpnnya dibahagikan dgn 444. Jwpn keseluruhan ialah : 413708.75. Satu soalan saya nak tanya, kamu x tahu ke nak jwb bende ni, sng kot. Budak darjah 1 boleh jwb

Answer:

5 bags

Step-by-step explanation:

guys give me a grade 6 division word probelm answers have to be correct

Answers

Answer:

Six division word problems answer had to be correct!

Got You✌

The product of a number and negative three is twenty-seven. Which of the following could represent this statement?

Answers

Answer:

sorryyyyyuuuuuuuuuuuuuuuuuuu

Answer:

-3n = 27

Step-by-step explanation:

-1/2y = 1/2x + 5 and y = 2x + 2​

Answers

Answer:

x = -4

y = -6

Step-by-step explanation:

I just use my calculator to do this

Could someone answer these problems ?

Answers

Answer:

She received $18.11

Step-by-step explanation:

25.63-7.52= $18.11

Answer:

8. $18.11

10. 71

Step-by-step explanation:

25.63 - 7.52 = 18.11

90 - 19 = She is old. JK

90 - 19 = 71

A medical researcher wishes to investigate the relationship between hours exercised and weight lost. The researcher randomly samples 50 people on an exercise program and asks them to report how many hours they have exercised on average over the last 6 weeks and how many pounds they have lost. The researcher runs a correlation and finds a test statistic of .34. Knowing that the critical value is .279, what should the researcher conclude

Answers

Answer:

The researcher will conclude that there is a correlation between the number of hours worked out and the amount of pounds lost by people on the exercise program

Step-by-step explanation:

Here, we want to state what the conclusion of the researcher should be:

From the last part of the question, we can see that the test statistic is greater than the critical value

So what do we do in a case like this?

We can see that the researcher is trying to see if there is a correlation between hours worked out and the number of pounds lost over a specific period of time.

Now, let us form the null hypothesis;

The null hypothesis here H0 is that we do not have a correlation between number of hours spent working out and the amount of pounds lost

The alternative hypothesis here H1 is that there is a correlation between the number of hours spent working out and the amount of pounds lost

Since we have the value of the test statistic greater than the critical value, we reject the null hypothesis and accept the alternative hypothesis

So therefore, the researcher will conclude that there is a correlation between the number of hours worked out and the amount of pounds lost by people on the exercise program

A store charges customers $85 for a video game. This is 170% of what the store paid for the game.

can anyone help a girl out?

Answers

170% is 170/100 in a fraction.
To get 170% you multiply 170/100 by 85.
And 14450/100 will be the fraction.
Simplifying it would be 144.5
Subtract 144.5 - 85 = 59.5
Your answer will be $59.5

Answer:

I think it is $59.5

Step-by-step explanation:

Hope this helped have an amazing day!

у 2х + 4.
What is the answer?

Answers

Answer:

well, y 2x+4 has to be y^2x+4

What percent of 855 is 990

Answers

Answer:

86.36%

Step-by-step explanation:

Answer:

116%

Step-by-step explanation:

990% of 855 = 1.15789473684  or

= about 116%

A business bought 500 lamps for $10,000. They want to mark them up 25%. What is the retail price of each lamp?

Answers

Answer:

$25 a lamp

Step-by-step explanation:

First divide $10,000  by 500 lamps to find how much one of them cost

That is $20 a lamp so then multiply .25 *20 or 1/4 *20

you get 5 than add 20 +5=25

A candy machine can make 25.15 pounds of candy in an hour. How much candy can it make in 6.5 hours?

Answers

Answer:

i believe its 163.475 pounds of candy

Step-by-step explanation:

i multiplied 25.15 by 6.5

Answer:

163.475 pounds of candy.

Step-by-step explanation:

If the machine can make 25.15 pounds of candy in 1 hour, then you just multiply 25.15 pounds by 6.5 hours to get the answer.

What is the answer to this problem?

Answers

Answer:

You are told you have a cumulative count of $400 for interest You gave $5000 in principal Principal + gained interest = Total Hence total = $5,400

Other Questions
Express the given sums using sigma notation.2/5+4/9+6/13+....+20/41 What type of mechanism is blood sugar Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest). Can you find the slope and type the correct code? The speed of sound is 344 m/sec when the air is 20 degrees Celsius how far is the source of the sound if it takes 8 seconds for the sound to reach you? What does Tasha mean when she says "younever miss a tail until you almost lose it"?She means she used to have a tail.She means she never appreciated having Junioraround, until she thought she had lost him. A researcher is interested in the relationship between time spent browsing items in an online store and the total amount purchased from the store. The researcher selects a random sample of visitors to the online store and records the time spent browsing and the total amount of their purchase. The researcher will conduct a t-test for the slope of a regression line, where time spent browsing is the explanatory variable and total amount of purchase is the response variable. Which of the following would be an indication that the normality condition has been met?A. A sample size that is less than 30B. A histogram of the residuals that is centered at 0 and strongly right skewedC. A dotplot of the residuals that is centered at 0, unimodal, and symmetricD. A boxplot of the residuals that is centered at 100 and does not provide evidence of skewness or outliersE. A scatterplot where total amount of purchase is the explanatory variable and time spent browsing is the response variable A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 238 graduating seniors and found the mean score to be 493 with a standard deviation of 97. Calculate the margin of error using the given formula. How could the results of the survey be made more accurate? Maya drove 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles? please help asap ill give that brain thing if you give a correct answer tysm Would someone like to help me with 5 math problems? If JK = KL, find JL Please help me. Which of the following statements is true about literary dialogue?A.It may be used to increase the pace of a story.B.It is used only at the beginning of a story.C.It is used only in poems.D.It is a form of figurative language. "developing common interest among staff members demands a special skill.' justify it with your arguements. I will give brainless to the first ancer What was unique about the Battle of New Orleans in the War of 1812?A. Andrew Jackson died during it.B. The United States lost the battleC. It occurred in January 1815, after the Treaty of Ghent that ended of the war.D. The U.S. surrendered the city to Britain after the battle.#2 Which conflict was called the "Second American Revolution" by President James Madison?A. The French and Indian WarB. The War of 1812C. The Battle of Lake ErieD. The Battle of New Orleans Read the paragraph.1Everyone has goals. 2Whether they are things one can achieve in a day or hopes for one's life, goals keep us moving and growing. 3Daily goals are usually easy to accomplish. 4Getting to school on time, for example, does not take a lot of effort. 5Graduating, on the other hand, is a long-term goal that takes time and dedication to achieve.Which statement correctly describes the verb is used in this paragraph? 5. ANSWERR CORRECT FOR BRAINIEST PLEASE HELP! SPANISH 2 preterite vs imperfect Which statement most clearly describes an imperialistic attitude?A. Crush all those who oppose us and leave no trace of theirexistence.B. Through cultural exchange, two peoples can learn from eachotherC. Building alliances with diverse peoples makes everyone stronger.D. People like us are born to rule, whereas others are born to serve.SUBMITPREVIOUS Please look at the attached image. Really need Help!! Who ever find answer first will get brainily.