The yield of a chemical process is being studied. Fromprevious experience, yield is known to be normally distributedand 3. The past five days of plant operation have resulted inthe following percent yields: 91.6, 88.75, 90.8, 89.95, and 91.3.Find a 95% two-sided confidence interval on the true mean yield.

Answers

Answer 1

Answer:

(87.85 ≤ μ ≤ 93.11)

Step-by-step explanation:

Given the data:

91.6, 88.75, 90.8, 89.95, 91.3

Mean, m = Σx / n

n = sample size = 5

Mean = 452.4 / 5 = 90.48

Standard deviation, σ = 3

Zcritical at 95% = 1.96

Confidence interval :

Mean ± Error margin

Error margin = Zcritical*σ/sqrt(n)

Error margin = 1.96 * 3/sqrt(5)

Error margin = 2.630

Lower boundary : 90.48 - 2.630 = 87.85

Upper boundary : 90.48 + 2.630 = 93.11

(87.85 ; 93.11)


Related Questions

(1.75)^2 in expanded form

Answers

Answer:

1.75 x 1.75

fillerfillerfiller

Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850

Answers

This question is incomplete, the complete question is;

Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850 at least 6 out of 10 business day

Answer:

P( at least 6 out of 10 business days ) = 0.6312

Step-by-step explanation:

Given the data in the question;

p = 60% = 0.6

q = 1 - p = 1 - 0.6 = 0.4

Using Binomial distribution;

P( X = r ) = [tex]^nC_r p^rq^{n-r[/tex]

where [tex]^nC_r = n!/(r!(n-r))[/tex]

we substitute

P( at leas 6 ) = P(6) + P(7) + P(8) + P(9) + P(10)

= [¹⁰C₆ × 0.6⁶ × 0.4⁴] + [¹⁰C₇ × 0.6⁷ × 0.4³] + [¹⁰C₈ × 0.6⁸ × 0.4²] + [¹⁰C₉ × 0.6⁹ × 0.4¹] + [¹⁰C₁₀ × 0.6¹⁰ × 0.4⁰]

= [0.250] + [0.214] + [0.1209] + [ 0.0403] + [ 0.00604 ]

= 0.6312

Therefore, P( at least 6 out of 10 business days ) = 0.6312

Please help!!!!!! I’ll mark Brainlyist!!!!!

Answers

Answer:

its 55

Step-by-step explanation:

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Answer: 113.49

I hope this helped!

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PLS HELP (CLICK ON HERE TO SEE QUESTION)

Answers

Answer:

C

Step-by-step explanation:

the answer is C because the 2 angles are congruent, making it the same degree

hope this helps :)

Answer:

160

Step-by-step explanation:

y is the same shape and degree is 1 60 on the other side please mark brainliest

Label the diagram
with
x-axis y-axis origin quadrant I quadrant II quadrant III quadrant IV
A
B
C
D

Answers

A) y-axis

B) quad lll

C) x-axis

D) quad IV

Is this the answer you were looking for?

A) y-axis

B) quad lll

C) x-axis

D) quad IV

Is this the answer you were looking for?

At the Dream Cone ice cream shop, there are
540 ways to make an ice cream sundae
consisting of one flavor of ice cream, one
topping, and one type of syrup. If there are 9
ice cream flavors and 5 types of syrup, how
many toppings are there?

Answers

Answer:

12 toppings

Step-by-step explanation:

5*9=45

540/45=12

The number of toppings in the ice cream cone are 9.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, there are 540 ways to make an ice cream sundae consisting of one flavor of ice cream, one topping, and one type of syrup.

Let the number of toppings be x.

So, 9×5×x=540

⇒ 45x=540

⇒ x=9

Therefore, the number of toppings in the ice cream cone are 9.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

ik this is alot but please help me. ​

Answers

Answer:

help u in what please ask the question so we can anwser

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

It’s 55, you have it right mean is all numbers added together

Answer:11

Step-by-step explanation:smart

If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of x.

A. 10 Degrees

B. 25/2 Degrees

C. 40 Degrees

D. 160 Degrees

Answers

The answer is = c because it is 40 degrees

45,678 in unit form

Answers

45 thousands
6 hundreds
7 tens
8 ones

A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?

Please explain

Answers

add 12 with 16 by 20 it gives you 48 cubic inches

12 +16+20=48 cubic inches

The tape diagram represents an equation.
W
1.3
2.7
Write an
equation to represent the image.

Answers

Answer:

w+1.3=2.7

Step-by-step explanation:

Answer:

1.3 + w = 2.7

Step-by-step explanation:

Hope this helps


If you add Natalie's age and Fred's age, the result is 44. If you add Fred's age to 4 times
Natalie's age, the result is 83. Write and solve a system of equations to find how old Fred and Natalie
are

Answers

Answer: 31, 13

Step-by-step explanation:

If the scale factor of Figure A to Figure B is 7:2 find the perimeter of Figure A.

Answers

Could you attach the photo

Order the steps in which to solve this expression. The value should be last.
PLEASE HELPPP.

Answers

Answer:

Exponents, Multiplication, Division (from left to right), Addition, Subtraction (from left to right), value

Step-by-step explanation:

I need these 4 questions, they are 7th grade level so should be easy enough

Answers

5. a=3, 4(3)-7=5 12-7=5
6. c=-4. 3-8(-4)=35 3- -32=35
7. w=-52. 15-(-52/4)=28
8. g=27. (27/3)+4=13. 9+4=13

there are 72 students in pe.12 students well be in a team.how many teams can be formed​

Answers

Answer:

6 teams

Step-by-step explanation:

72/12 = 6

A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5​ minutes, the pizza pan is at 300°F.
​(a) At what time is the temperature of the pan 125°F? ​
(b) Determine the time that needs to elapse before the pan is 150°. ​
(c) What do you notice about the temperature as time​ passes?

Answers

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

oceanside bike rental shop charges 18 dollars plus 9 dollars an hour for renting a bike. sam paid 63 dollars to rent a bike. how many hours did he pay to have the bike?​

Answers

Answer:

5 hours

Step-by-step explanation:

sam originally paid $18 hours but then had to pay 9 every 1 hour

18+9/1=?

sam paid 63 $ in total so

63-18= 45

45/9=5

Which graph shows a proportional relationship?
A. B. C D.

Answers

Answer:

B

Step-by-step explanation:

a proportional relationship must have a straight line when graphed and it must go through the origin (0,0)

Right off the bat we can eliminate answer choice C because the line is not straight

the answer is not a nor d

the line may be straight but it does not go through the origin therefore it is not a proportional relationship

B makes a straight line and the line goes through the origin therefore B is the answer

Answer is B...........

Choose the fraction that is NOT equivalent to 2/2?
A.1/1
B.2/1
C.3/3
D.4/4

Answers

Answer:

B 2/1

Step-by-step explanation:

2/2=1

3/3=1

4/4=1

and 2/1=2

The answer is B 2/1

carl has 1,064 legos. sharon has 19 time the amount of legos. how many legos does sharon have

Answers

1064 x

19

________

20216 legos

Sharon has 20216 legos

Please answer now! Please!
Is this proportional? What is the COP? What is the equation?

Answers

Answer:

Step-by-step explanation:

The constant of proportionality is y/x=k. In this case it is 30/5=48/8...6 k=6

The equation is

y=6x where y=number of wheels and x=number of buses

find a fuction rule for the line that passes through the origin (0,0) and the point (3- 18)

Answers

Answer:

just carrie the 2 and box up rh2-4 then you would get the answer I'm smart as f

GEOMETRY!!!! Will give brainliest

Answers

Answer: rectangle


Hope itz right

What is the quotient ?

Answers

Answer: A quotient is the the number resulting from the division of one number by another.

Step-by-step explanation:

24/4 the quotient (answer) is 6

The answer is A because you have to simplify the expression then you get 1/7^8

Find the perimeter of the figure to the nearest hundredth. due today

Answers

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Answer: 36.57

Explanation:

6x4 = 24

3.14(2)^2 = 12.56

12.57+24=36.57

I hope this helped!

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Please Help Quickly :)

The area of the top of a rectangular coffee table, in square units, is represented by the expression: (2x-11)(2x+11). Which expression represents an equivalent area?

A.) (4x^2-121) Square units
B.) (4x^2-44x+121) Square units
C.) (4x^2 +44x-121) Square units
D.) (4x^2+121) Square units

I will gve you brainliest if it is the correct awnser and if you help me quickly​

Answers

Answer:

Step-by-step explanation:

2x * 2x = 4x^2 and -11 * 11 = -121

A worker at a mill is loading 8 lb bags of flour into boxes to deliver to a local warehouse. Each box holds 5 bags of flour. If the warehouse orders 2 tons of flour how much are needed to fulfill the order?

Answers

Answer:

100 boxes i think :))

Step-by-step explanation:

Danny reads for one half hour every day.
At the end of four weeks, how many hours has Danny read?

Answers

There are 7 days in a week.

1/2 hour x 7 days = 3 1/2 hours per week.

3 1/2 hours per week x 4 weeks = 14 hours

He read for a total of 14 hours

Answer:

14 hours

Step-by-step explanation:

half hour = 30 minutes

1 week = 7 days

30(minutes) x 7(days) = 210 minutes

210(minutes) x 4(weeks) = 840 minutes

Now we know how much time Danny has read (840 minutes), but we need to know what that is in hours.

840 minutes = how long Danny has read in minutes

60 minutes = hour

840(minutes) ÷ 60(minutes) = 14(hours)

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