Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations:
x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120
y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03
We want to test if these thermometers seem to be measuring the same temperatures. Let's use the threshold.
(a) Write down the appropriate hypothesis tests for β1.
H0: β1(≠ / = / > / <) 1 and Ha: β1( ≤ / = / > / ≠ / ≥ / <) 1.
(b) The test statistic is____.
(c) The p-value is____.
(d) Therefore, we can conclude that:_____.
1) The data provides evidence at the 0.1 significance level that these thermometers are not consistent.
2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
3) The probability that the null hypothesis is true is equal to the p-value.
4) The probability that we have made a mistake is equal to 0.1.

Answers

Answer 1

Answer:

a)H0: β1= 1 and Ha: β1 ≠1

b) The test statistic is____.t= b- β/ sb

c) The p-value is____.0.999144

(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.    

2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.

Step-by-step explanation:

The null and alternate hypotheses are

H0: β1= 1 and Ha: β1 ≠1

The significance level is  alpha= 0.1 but ∝/2 =0.1/2= 0.05 for two tailed test.

The critical region at t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699

The test statistic is

t= b- β/ sb

which has t distribution with υ= 31-2= 29 degrees of freedom.

Calculations

Ŷ = a +bX

b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²

b = 39671.6/39680= 0.9998

a = y` - bx`

x`= 60

y`= 59.989

a = 59.989 -0.9998*60 = 0.001734

Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965

Syx= 36.9822

Sb= Syx/ √∑  (x-x`)²

Sb= 36.9823/ √39680

Sb= 36.9823/ 199.984

Sb= 0.18493

x-x`                 y-y`                    (x-x`)²     (x-x`)(y-y`)

-60                 -59.969            3600              3598.1419

-56                  -55.999           3136          3135.9458

-52                 -52.079             2704          2708.1097

-48                -47.959              2304           2302.0335

-44                 -43.899              1936          1931.5574

-40                -39.989               1600          1599.5613

-36              -36.009                1296            1296.3252

-32               -31.899              1024              1020.769

-28               -28.049             784                785.3729

-24                -23.959             576               575.0168

-20               -19.989             400                  399.7806

-16                 -15.939            256                  255.0245

-12               -12.039             144                    144.4684

-8                  -7.989             64                       63.9123  

-4                 -4.119                16                      16.4761

0                 -0.08903           0                         0

4                  3.921              16                      15.6839

8                7.961                64                       63.6877

12                12.121             144                     145.4516

16                16.031             256                   256.4955

20               20.021           400                  400.4194

24               24.111              576                   578.6632

28                28.071           784                     785.9871

32                 31.751            1024                    1016.031

36               36.031           1296                    1297.1148

40                39.961          1600                    1598.4387

44                43.881           1936                     1930.7626

48               48.021           2304                     2305.0065

52              52.001             2704                     2704.0503

56             56.051              3136                       3138.8542

60            60.041                3600                     3602.4581

∑0          0                 39680 (SSx)     39671.6 (SPxy)

Putting the values

The test statistic is

t= b- β/ sb

t= 0.9998-1/ 0.18493      ( β=1 given)

t=-0.0010815

Since the calculated t=-0.0010815  does not lie in the critical region  t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.

The p-value is  ≈ 0.999144

there is not enough evidence to reject the null hypothesis.    


Related Questions

In ΔMNO, the measure of ∠O=90°, OM = 69 feet, and NO = 16 feet. Find the measure of ∠N to the nearest tenth of a degree.

Answers

9514 1404 393

Answer:

  76.9°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(N) = OM/ON

  N = arctan(OM/ON) = arctan(69/16)

  N ≈ 76.9°

What is the end behavior of this radical? f(x) = 4 square root x - 6

Answers

Answer:

I think you can answer it with a chart, I guess, of course I'm not sure‍♀️

find the perimeter of each polygon. Assume that lines which appeared to be tangent are tangent. ​

Answers

9514 1404 393

Answer:

  A)  54.4

Step-by-step explanation:

The perimeter of a circumscribing quadrilateral is twice the sum of the lengths of opposite sides.

  P = 2(17.6 +(2.9 +6.7)) = 2(27.2)

  P = 54.4

Answer:

perimeter of each polygon

Help me please? I’ll give out brainly. No links.

Answers

Answer:

A = 8 unites

Step-by-step explanation:

8 - 2 = 6

the y-intercept stays the same

only x-intercept changes

Answer:sorrY mAaM cAnt heLp yOu

Step-by-step explanation:

1/10 *as a fraction* divided by 5
Please help! Fast!!​

Answers

Answer:

1/50

Step-by-step explanation:

1/10÷5/1=

1/10•1/5=

1/50

if a1= 7 and r=3, find a4

Answers

Answer:

a4 = 189

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient r between consecutive terms is always the same.

The nth term of the sequence is given by:

[tex]a_n = a_1*r^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this question:

[tex]a_1 = 7, r = 3[/tex]

The fourth term is:

[tex]a_4 = 7*3^3 = 189[/tex]

So

a4 = 189

(-14, 3), (20, -11) slope

Answers

Answer:

= -7/ 17

Step-by-step explanation:

To find the slope when given two points

m= ( y2-y1)/(x2-x1)

   = ( -11-3)/(20- -14)

   = (-11-3)/(20+14)

   = -14/34

Divide top and bottom by 2 to simplify

  = -7/ 17

Answer:

-7/17

Step-by-step explanation:

Plug these points into the equation y2-y1/x2-x1. In this case, the y2 value is -11 and the y1 value is 3. In this case, the x2 value is 20 and the x1 value is -14. Therefore, the equation is -11-3/20--14. This is equal to -14/20+14 which is equal to -14/34. This is equal to -7/17. Therefore, the slope is -7/17

If this helps please mark as brainliest

answer 4 some free pointz

Answers

heyyyyyyyyyyyyyyyyyyyyyyyy lol hru

Answer:

Step-by-step explanation:

A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
[ ? ]%

Answers

Step-by-step explanation:

You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)

help asap pls need help by 1230 pt thanks

Answers

Answer:

acute, isosceles

Step-by-step explanation:

Acute: all angles are less than 90°

Isosceles: 2 sides are the same length, the other is not

Have a great day!  :D

What time is it? Cuz for me it’s 2:55 bby

P9-17 Comparing Investment Criteria [LO1, 2, 3, 5, 7] Consider the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 –$221,117 –$16,136 1 27,200 5,520 2 60,000 8,304 3 60,000 13,962 4 425,000 9,960 Whichever project you choose, if any, you require a 6 percent return on your investment. a. What is the payback period for Project A?

Answers

Answer:

3.17 YEARS

Step-by-step explanation:

Payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative cash flows

Payback period = Amount invested / cash flow

Payback period for option A, Product A  

Amount invested = –$221,117

Amount recovered in year 1 = –$221,117 + 27,200 = -193,917

Amount recovered in year 2 =  -193,917 + 60,000 = -133,917

Amount recovered in year 3 = -133,917 + 60,000 = -73,917

Amount recovered in year 4 =  -73,917 + 425,000 = 351,083

Payback period = 3 years + (73,917 / 425,000) = 3.17 years

observa con atencion los siguientes desarrollos planos y encierra con cual de ellos se puede armar cada cuerpo uno de ellos tiene dos respuestas

Answers

Answer:

Can you give it in a english

Step-by-step explanation:

Work out the mean for the data set below: 5, 6 Give your answer as a decimal.

Answers

Answer:

5.5

Step-by-step explanation:

5 + 6 =

11 / 2 =

5.5

What is the expected value for the binomial
distribution below?

1/3125
4/625
32/625
128/625
256/625
1024/3125

Answers

Answer

999.224

Step-by-step explanation:

Expected value = Summation of (x•px)

px is addressed as pdf (probability distribution function)

x px. x•px

1. 1/3125. 1/3125

20. 4/625. 16/125

160. 32/625. 1024/125

640. 128/625. 16384/125

1280. 256/625 65536/125

1024. 1024/3125. 335.544

total:. 1. 999.224

taking my pdf as x/3125

The expected value of the binomial distribution is 4

How to determine the expected value?

The expected value of a binomial distribution is calculated using:

[tex]E(x) = \sum x * P(x)[/tex]

Using the table of values, we have:

[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]

Evaluate the expression

E(x) =  4

Hence, the expected value of the binomial distribution is 4

Read more about expected value at:

https://brainly.com/question/15858152

#SPJ6

The angles in this diagram are complementary. What is the value of x?
(4x)
(2x + 6)

Answers

Answer:

2(4)+6(4)

Step-by-step explanation:

Distribute

(4)(2+6)

(4x)(2x+6)2(4)+6(4)

2x(4x)+6(4x)

Solution

2(4)+6(4)

Please give brainliest :)

HELP! PLEASEEEEE
IMAGE BELOW!

Answers

Answer:

Quadrant I and Quadrant II

Step-by-step explanation:

Quadrant I has both positive x and y coordinates,Quadrant II has a negative x coordinate but the y coordinate is positive.

Quadrant one and quadrant two lmk if this helps

A property that offers a 7.5 percent return on the listing price has a monthly net of $810.
The property is listed at

Answers

Answer:

$129,600

Step-by-step explanation:

Given that

The return percentage is 7.5%

And, the monthly net is $810

We need to find the property listed price

Since we assume that the return percentage is on annual basis

So, for monthly, it is

= 7.5% ÷ 12

= 0.625%

Now the property listed price is

= $810 ÷ 0.625%

= $129,600

Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her employer.

Use a thousands comma where applicable.

1. the company's percentage
%
2. the total premium $
3. the company's payment $

Answers

1. 100 - 35 = 65% company percent
2. 419/.35 = 1197 total premium
3. .65 *1197 = 778.05 company payment

Calculate the missing values.

Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her employer.

Use a thousands comma where applicable.

1. 100 (100% of cost)  - 35 = 65% company percent

2. 419.00 ÷ .35 (or, 35%, but use the decimal) = 1197 total premium

3. 0.65 × 1197 = 778.05 company payment

I tried to make it so you could see where the numbers came from, by making the ones bold, others, italics, and other combinations. I hope you understand what I did. I tried to explain how the guy above did it. He did well, so brainliest goes to him.

Determine whether each ordered pair is a solution of the inequality-3x-4y<6

Answers

Answer:

it's (6,0) I can't explain though

5 times the sum of 24 and 7

Answers

Answer:

Your answer should be 155!

Step-by-step explanation:

Sum means to add, so 24 + 7 = 31

31 x 5 = 155

I hope this helps!

A summation, also called a sum, is the result of arithmetically adding numbers or quantities. 155 is the answer for 5 times the sum of 24 and 7.

What is Sum?

A summation, also called a sum, is the result of arithmetically adding numbers or quantities.

Given,

5 times the sum of 24 and 7

Sum is nothing but addition.

When we see the word sum it means we are adding some value with other factor. In the given problem 24 and 7 are added.

Times means multiplication.

We have to convert 5 times the sum of 24 and 7 to expression.

When we see times, it means product or we are multiplying a number with the other number. Here with 5 we are multiplying the sum of 24 and 7.

5×(24+7)

Firstly we calculate value in parenthesis.

twenty four plus seven is thirty one.

5×31

The product of 5 and 31 is 155.

155

Hence 155 is the answer for 5 times the sum of 24 and 7.

To learn more on Sum click:

https://brainly.com/question/13013054

#SPJ2

Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.

Answers

Answer:

10

Step-by-step explanation:

Standard form for a circle is

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius

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

x² + y² - 18x + 24y = -200

Rearrange

(x² - 18x) + (y² + 24y) = -200

Complete the square for x

(x - 9)² + (y² + 24y) = -200 + (-9)²

Complete the sqaure for y

(x - 9)² + (y + 12)² = -200 + (-9)² + 12²

(x - 9)² + (y + 12)² =  25

Now the equation is in standard form

r² = 25

r = 5

Therefor Diameter = 10

-3x + 2 ≤ 14= ? [tex]-3x +2 \leq 14[/tex]

Answers

Answer: x>=-4

Step-by-step explanation:

-3x+2<=14

subtract 2 from both sides,

-3x<=12

Divide by -3, because you are dividing by a negative, the sign gets flipped

X>=-4

Simplify (-32) divided by (-4)

Answers

Answer:

[tex] \frac{8}{1} [/tex]

Step-by-step explanation:

[tex] \frac{ - 32}{ - 4} [/tex]

Reduce factor by 4

[tex] \frac{ - 8}{ - 1} [/tex]

A negative divided by a negative equal positve so

[tex] \frac{8}{1} [/tex]

the simplest form of 32/4 is 8/1

find the GCD ( or HCF) of numerator and denominator GCD of 32 4 is 4

divide both the numerator and denominator GCD

32/4 ÷ 4/4

reduce fraction: 8/1

therefore, 32/4 simplify to lowest terms is 8/1.

Image below! PLEASE HELP! THIS IS DUE!

Answers

Answer:

270 if not simplified and

1/1 if simlifies

Step-by-step explanation:

An equation of the line through the points (-2.5) and (3, -4) is:​

Answers

linear??? . z z z z z z z z

Choose the Inequality that matches the graph below.

Answers

Answer:

The answer would be A

Step-by-step explanation:

Because the circle is an open circle, also its point towards the positive so that means A is the correct answer

HELP PLEASE IT EASY!
+ no files please!!

Answers

Answer:

GIVEN :-

Ordered pairs given are :-

(2 , -1)(-5 , 3)(4 , 3)(-2 , -3.5)(0.5 , 1.75)

TO FIND :-

Correct quadrant for each ordered pair.

FACTS TO KNOW BEFORE SOLVING :-

While writing the co-ordinates of a point , its ordered pair is always in the form of ( x , y ) where x = x-coordinate of the point & y = y-coordinate of the point.In Quadrant 1 , the coordinates of a point is always = ( +x , +y ) because Quadrant 1 lies between the positive side of x-axis & positive side of y-axis.In Quadrant 2 , the coordinates of a point is always = ( -x , +y ) because Quadrant 2 lies between the negative side of x-axis & positive side of y-axis.In Quadrant 3 , the coordinates of a point is always = ( -x , -y ) because Quadrant 3 lies between the negative side of x-axis & negative side of y-axis.In Quadrant 4 , the coordinates of a points is always = ( +x , -y ) because Quadrant 4 lies between the positive side of x-axis & negative side of y-axis.

SOLUTION :-

(2 , -1) is in Quadrant 4 because it's x-coordinate is positive whereas its y-coordinate is negative.(-5 , 3) is in Quadrant 2 because its x-coordinate is negative but y-coordinate is positive.(4 , 3) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.(-2 , -3.5) is in Quadrant 3 because both its x-coordinates & y-coordinates are negative.(0.5 , 1.75) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.

4( − 5 ) – 10 = 2 ( + 6 ) and check your answer

Answers

Answer:

- 30 < 12

Step-by-step explanation:

4(- 5) - 10 = 2 (+ 6)

- 20 - 10 = 12

- 30 < 12


Solve for X
A.45
B.35
C.25
D.30

Answers

D. 30

90+60=150
180-150=30

Grade 5 math. ! 30 points !

During the month of june, jessica volunteers at a library every 6 days and at a veterinarians office every 10 days. jessica’s first visit to the library was on June 6 and her first visit to the veterinarian office was on June 1th.


What day in June will jessica volunteer at both locations?


Anwser Options

june 6

june 10

june 18

june 20

june 24

june 30

Answers

The day in June, Jessica volunteered at both locations if she volunteers at the library every 6 days and at a veterinarian's office every 10 days is June 30, so option F is correct.

What is LCM?

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

For instance: The LCM of 2 and 3 is 6.

Given:

Jessica volunteers library every 6 days,

Jessica's veterinarian's office, every 10 days,

So for her visit to both, the place takes the LCM of 6 and 10,

LCM of 6 and 10 = 30,

Hence, on the 30th day, she visits both places so if she starts volunteering from the 1st of June then she will visit both places on the 30th of June.

Therefore, The day in June, Jessica volunteered at both the location if she volunteers at a library every 6 days and at a veterinarian's office every 10 days. Jessica’s first visit to the library was on June 6 and her first visit to the veterinarian's office was on June, 1st is June 30.

To know more about LCM:

https://brainly.com/question/20739723

#SPJ2

Answer:June 30th

Step-by-step explanation:

So Jessica volunteers every 6 days and 10 days at different places.From June 6th and June 1st you see which one is good for both of them and then June 30th is the answer.

Other Questions
A grass starts with 30,000 kJ of energy. How much energy would a cheetah acquire after it ate a zebra that consumed the grass?30 kJ300 kJ3,000 kJ30,000 kJ The maximin principle is about: a. maximizing the benefits to the most disadvantaged group in society. b. minimizing the income spread between the middle class and the rich. c. equalizing income across society. d. maximizing the income of the most productive group in society to encourage spillover benefits to theleast advantaged group. please I need help ASAP Move the bonfire to the left side of the sand. Observe how the smoke from the bonfire moves"" Dose anyone know how to get past this? newsela what is a chemical reaction Ms Shepard cuts 1/2 of piece of construction paper. She uses 1/6 of piece of paper to make flower. This means that she used 1/12 of sheet of paper to make the flower. True or false Simplify the expression, sin2x + sinx + cos2x - 1 #2Need help ???!!! For an exam. Please dont send any links !!! Cannot open. Thank you and answer below please and thank! Help pldssshdhhfhfhtjthe distannce fromm bbaseee to base, incluudding homess platee, on a baaaaseballlll fiellllld is 90 ft. the bases form a square. How much grass is needed to coverrrr theeeee spacccee insifeee theee squareeeee? hey! ill give brainliest please help! thanks Which of the following would best be solved using completing the square?5x^2+7x=12X^2+4x-21=0x^2=812x^3-12x^2+5x-30=0 How would you graph this function?[tex]y=-2x^2-16x-30[/tex] A cargo spacecraft was orbiting the earth. It is equipped with rocket and has an initial mass of 30 metric ton. It wants to catch up with the international space station to deliver the cargo. So its rocket engine was fired for 1 minute. The engine ejects mass at a rate of 30 kg/s with an exhaust velocity of 3.1 km/s. The pressure at the nozzle exit is 5 kPa and the diameter of exit area is 94.4 cm. What is the thrust of the engine in a vacuum Which government style did China adopt? DIPTONGO o HIATO?Clasifica las siguientes palabras en base a si tienen DIPTONGOS o HIATOS caos, puerta, fro, fealdad, Europa, oeste, baha, cielo, oblicuo, Asia, teorema, peinado, puerto, junio, hay, pas, filosofa, astronauta, afeitarse(tell me which one's are Diptongos and which are Hiatos)(dime cuales son diptongos y cuales son Hiatos) What is the circumference of a circle with a diameter of 58 centimeters? Andre sets up a rain gauge to measure rainfall in his backyard. On Tuesday, it rains off and on all day, use the graph to determine how much total rain fell on Tuesday What effect do you think the recent 2018 elections will have on the EZLN and the situation in Chiapas specifically?No links or I will report your account and comment. The law of supply states that, ceteris paribus, there is an inverse relationship between the price of a good and the quantity suppliedof the good.True or False PLS HELP FOR FINAL!!!!!!!!!!!!!!