A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.66 K.
1. Use the Student’s t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide.
2. Use the Student's t distribution to find a 98% confidence interval for the sublimation point of carbon dioxide.
3. If the six measurements had been 196.35, 196.32, 196.4 198.02, 196.36, 196.39, would the confidence intervals above be valid? Explain.

Answers

Answer 1

Answer:

(195.733, 197.547)

Step-by-step explanation:

Given that:

Mean, m = 196.64 K

Standard deviation, s = 0.66 K

Sample size, n = 6

Confidence interval :

Mean ± margin of error

Margin of error =Tcritical * s/sqrt(n)

Tcritical at α = 98% ; df = 6 - 1 = 5

Tcritical = 3.3648

Margin of Error = 3.3648 * 0.66/sqrt(6) = 0.9066

Confidence interval = 196.64 ± 0.9066

Lower boundary = 196.64 - 0.9066 = 195.733

Upper boundary = 196.64 + 0.9066 = 197.547

(195.733, 197.547)

Given the measurement :

X = 196.35, 196.32, 196.4 198.02, 196.36, 196.39

Mean = ΣX / n = 1179.84 / 6 = 196.64

Yes, confidence interval will be valid as theean obtained is within the calculated interval


Related Questions

7 ft equals blank inches ​

Answers

Answer:

it is 84 inches all together

Answer:

84 inches

Step-by-step explanation:

have a good day

may i please  get a branlillest

Sue has taken four exams so far in her History course. Her scores are 84.0, 78.2, 93, and 87.5. What is the average of these scores?

Answers

Answer: 85.7

Step-by-step explanation:

Find the surface area of the figure

a. 150 square cm
b. 228.4 square cm
c. 78.4 square cm
d. 210 square cm

Answers

Answer:

c

Step-by-step explanation:

Please help me with this

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Answer:

Y= -5/3x -1

Step-by-step explanation:

**Think about how many TOTAL pieces there will be.

Answers

from reading the text, it sounds like the answer should be 1/5, or in this case letter choice A. *correct me if I’m wrong please..*

Examples of application of factoring in your work environment.​

Answers

Answer:

dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel

Step-by-step explanation:

Find the missing side of this right triangle. [Pythagorean Theorem]

Answers

Answer: 12 x 7 = 72

Step-by-step explanation:

Answer:

Square root of 193

Step-by-step explanation:

7^2+12^2=x^2

Switch sides: x^2=7^2+12^2

After everything is squared: x^2=49+144

x^2=193 OR x=\sqrt{193}

Can y’all help me on question eight?!

Answers

Answer:

50

Step-by-step explanation:

PEMDAS

3(2)+24/2+2(3+7)

Pemdas

3(2)+24/2+2(10)

PeMDas

6+24/2+20

6+12+20

PemdAs

38

3*2 = 6
6+ 24 = 30
30/2 = 15
15+2 = 17
Now 3+7 is 10 so 17*10 = 170

ANSWER: 170

Find the volume of the given solid. Bounded by the cylinder y2 + z2 = 16 and the planes x = 2y, x = 0, z = 0 in the first octant

Answers

Answer:

[tex]\mathbf{ \dfrac{128}{3}}[/tex]

Step-by-step explanation:

Given that:

[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]

[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]

[tex]Then;[/tex]

[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]

[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]

[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]

[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]

[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]

[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]

[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]

[tex]\mathbf{V = \dfrac{128}{3}}[/tex]

A submarine was 20 feet below sea level. If it ascends (goes up) 30 feet,
what is its new position?
50 feet above sea level
O 10 feet below sea level
O 50 feet below sea level
O 10 feet above sea level

Answers

Answer:

10 ft above sea level

Step-by-step explanation:

20 below goes up by 30 then it would be -20 -10 0 10

Dionne can fold 175 packing boxes in 50 minutes.
Elias can fold 120 packing boxes in 40 minutes.

Use unit rates to find how much time it will take each person to fold 210 packing boxes.
Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
370803.54.550604
Dionne can fold
boxes in 1 minute and Elias can fold
boxes in 1 minute.
Dionne will fold 210 boxes in
minutes and Elias will fold 210 boxes in
minutes.

Answers

REFER THE ATTACHMENT ABOVE ☝☝☝☝

Answer:

[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]

RESULT

Use ratio and proportion.

Let x be the time it takes Dionne to fold 210 packing boxes:

[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]

So, it will take Dionne 60 minutes to fold 210 packing boxes.

Let y be the time it takes Elias to fold 210 packing boxes:

[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]

So, it will take Elias 70 minutes to fold 210 packing boxes.

HELP PLSSSS I BEG UUUU PLSSS

Answers

Answer: Thursday

Step-by-step explanation:

I hope this helps

Answer: Thursday

Step-by-step explanation:

It's Thursday because any number below 0 is a negative number but, as Thursday is 3° above 0, it is positive.

Hope this helps :)

major arc BRA is 3/2 the length of minor arc BSA. the length of major arc BRA is 6pi centimeters. what is the radius of the circle?

Answers

9514 1404 393

Answer:

  5 cm

Step-by-step explanation:

The given arcs have the ratio ...

  BRA : BSA = (3/2) : 1 = 3 : 2

Then BRA is 3/(3+2) = 0.6 of the total circumference of the circle.

  0.6(2πr) = 6π . . . . . BRA is 6π long

  r = 6π/(1.2π) . . . . . . divide by the coefficient of r

  r = 5 . . . . centimeters

What is the common denominator of 3 5 and 4 10

Answers

Answer:

3 and 5, 15; 4 and 10, 20

Step-by-step explanation:

The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.

Find the missing lengths leave your answers as radicals in simplest form

Answers

Step-by-step explanation:

w = 4

y = 4√2

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

w would be 4
y would be 5.6

the of two numbers from a set of ten numbers is 4.5 . if one of the numbers is 6, find the number​

Answers

Answer:

Step-by-step explanation:

The average of two numbers?

6+x = 4.5*2 = 9

x = 3

Solve m + 7 = 11.
The solution is?

Answers

Answer:

m=4

Step-by-step explanation:

Answer:

4, subtract 7 from both sides m = 4

PLEASE HELP WILL GIVE BRAINLEIST!!! What type of angles are ∠4 and ∠8?

Answers

Answer:

Corresponding Angles

Step-by-step explanation:

They are both in the same positions but just on different lines meaning they are corresponding :)

The angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

As we can see in the figure, the line b and line c are parallel to each other and intersected by a line a.

The angles 1, 2, 3, 4, 5, 6, 7, and 8 formed.

The angles 1 and 4, angle 2 and 3 are vertically opposite angles.

Similarly, 5&8 and 6&7 are vertically opposite angles.

The angle 4 and angle 8 are corresponding angles.

Thus, the angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

Pls help me pls pls

Answers

Answer:

190.8

Step-by-step explanation:

Im pretty sure my math is wrong but i hope this helps

ANSWER: I think it’s 40^2 because you’re multiplying the base 8x5 which is 40+40

the figure below shows a semicircular arch tunnel

Answers

Answer:

312.5

Step-by-step explanation:

María trajo de su viaje seis paquetes con seis cajas cada uno. Si cada caja tiene seis bolsas, y cada bolsa, dos caramelos ¿cuántos caramelos trajo María de su viaje?

Answers

Answer:

72 candies

Step-by-step explanation:

she had 6 boxes with 6 bags each so that equals 36 and each bag has 2 candies so 36 times 2 equals 72

hope this helped plz give brainliest

ella tenía 6 cajas con 6 bolsas cada una, por lo que es igual a 36 y cada bolsa tiene 2 caramelos, por lo que 36 por 2 es igual a 72

Espero que esto haya ayudado por favor a dar lo más inteligente

Need help with this, the answer is 61 but I need the work for it.

Answers

Answer:

61

Step-by-step explanation:

Arc AC = 180

Arc DC = 58

Arc AC = Arc AD + Arc DC

180 = Arc AD + 58

122 = Arc DC

Tangent Chord Angle = 1/2Intercepted Arc

Angle DBA = 1/2 Arc DC

Angle DBA = 1/2 (122)

Angle DBA = 61

2 Each Saturday Mr. Franklin teaches 3 piano lessons at his music school and 4 piano lessons in students' homes. For each lesson at his music school, he charges $15. • For each lesson in a student's home, he charges $20. Which set of equations can be used to find m, the amount of money in dollars Mr. Franklin earns from piano lessons each Saturday? F 15 x 4= 60 20 X 3 = 60 60 + 60 = m G 15 = 3 = 5 20:4= 5 5 + 5 = m H 15 x 3 = 45 20 x 4 = 80 80-45 = m J 15 x 3 = 45 20 x 4 = 80 45 + 80 = m ​

Answers

Answer:I Don't Know

Step-by-step explanation:

need help ASAP plz and I've got more if anyone wants to help​

Answers

Answer:

1/4+1/4+1/4+1/4+1/4+1/4= 1.5

3/10x2/3= 0.2

2/4x2/3= 0.33333333333  (just put 0.3 with a line on top of the 3)

6 divided by 1/2 = 12/1 or 12

9 divided by 1/3 = 27/1 or 27

2/5 divided by 3/4 = 8/15

1/2 divided by 2/3 = 3/4

A package delivery company experiences high variability in daily customer demand, which in turn results in high variability in the daily workload at the central sorting facility. The company relies on its sorting facility employees working overtime to provide on-time delivery when the workload demand is very high. A sorting facility employee receives a salary of $12/hour for a 40 hour week, and the employee receives $18/hour for every hour worked overtime, that is, for every hour worked over 40 hours in a given week. The number of overtime hours that an employee works in any given week is a random variable, with a mean of 15 hours and a standard deviation of 4 hours.

Required:
What are the mean, the standard deviation, and the variance of an employee's total weekly salary?

Answers

Solution :

Let :

X = number of overtime hours

S = total weekly salary

S = [tex]$12 \times 40 + 18 \times X$[/tex]

S = 480 + 18X

E(S) = [tex]$480 + 18 \times E(X)$[/tex]

[tex]$E(S) = 480 + 18 \times 15$[/tex]

        = 750

Mean of S = 750

Var (S) = [tex]$18^2 \times Var(X)$[/tex]

Var(S) = [tex]$18^2 \times 4^2$[/tex]

          = 5184

Variance of S = 5184

The standard deviation equals square root of 5184 = 72

need help with these 2 questions

Answers

Answer:

I worked really hard on this problem, I had to manually edit with my editing tool for 15 minutes lol.

8. What must be the mass of a model rocket engine be in grams to develop an
acceleration of 520 m/s2 when subjected to a force of 11.2 N? Please include the equation, it would really help me out, thanks so much!

Answers

Answer:

20 grams

Step-by-step explanation:

I did this, but I'm not sure if I'm 100% correct. Here is my answer though:

m=F/a

m=11.2/520

m=0.02kg

0.02kg=20 grams

Answer:

0.02kg

Step-by-step explanation:

PLEASE HELP 20 POINTS!

which model shows 1/4 ÷ 3?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

RU is the midsegment of the trapezoid PQST.
If PQ = 17 and RU = 27, what is ST?

Answers

Answer:

7

Step-by-step explanation:

27-17=10

17-10=7

5
Convert 1101 two to base 5​

Answers

the answer is 23...........

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