answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tigry1 [53]
2 years ago
12

In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass bala

nces, six specimens were weighed, in grams, on each balance. The following data were obtained:
Specimen A B
1 13.76 13.74
2 12.47 12.45
3 10.09 10.08
4 8.91 8.92
5 13.57 13.54
6 12.74 12.75
Can you conclude that the mean weight differs between the two balances?
i). State the null and alternative hypotheses.
ii). Compute the test statistic.
iii). State a conclusion using the a =0.05 level of significance.
Mathematics
1 answer:
Maslowich2 years ago
3 0

Answer:

H0: μd=0 Ha: μd≠0

t= 0.07607

On the basis of this we conclude that the mean weight differs between the two balances.

Step-by-step explanation:

The null and alternative hypotheses as

H0: μd=0 Ha: μd≠0

Significance level is set at ∝= 0.05

The critical region is t ( base alpha by 2 with df=5) ≥ ± 2.571

The test statistic under H0 is

t = d/ sd/ √n

Which has t distribution with n-1 degrees of freedom

Specimen        A               B           d = a - b         d²

1                     13.76        13.74         0.02           0.004

2                    12.47        12.45          0.02         0.004

3                    10.09        10.08           0.01        0.001

4                       8.91       8.92          -0.01          0.001

5                     13.57      13.54           0.03        0.009

<u>6                     12.74      12.75          -0.01        0.001</u>

<u>∑                                                      0.06         0.0173</u>

d`= ∑d/n= 0.006/6= 0.001

sd²= 1/6( 0.0173- 0.006²/6) = 1/6 ( 0.017294) = 0.002882

sd= 0.05368

t= 0.001/ 0.05368/ √6

t= 0.18629/2.449

t= 0.07607

Since the calculated value of t= 0.07607 does not falls in the rejection region we therefore accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the mean weight differs between the two balances.

You might be interested in
Two students start a club the first week of school each member invites three new members the second week of school each of these
shtirl [24]

Answer:

26 people

Step-by-step explanation:

7 0
2 years ago
steve gaimes is paid overtime for all time worked past 40 hours in a week. his regular time pay rate is $12 an hour and his over
Elena-2011 [213]

Answer:

40 hours

Step-by-step explanation:

47.3-40= 7.3

He worked 7.3 hours overtime meaning he worked 40 regular hours.

6 0
2 years ago
How to decompose a rectangle into two or three smaller rectangles to demonstrate the distributive property?
koban [17]

Answer:

See explanation

Step-by-step explanation:

The distibutive property states that for all real numbers a, b and c

(a+b)c=ac+bc

Draw a rectangle with length of (a+b) units and width of c units. The area of this rectangle is

(a+b)c\ un^2.

Divide this rectangle into two rectangles: first rectangle with the length of a units and the width of c units and the second rectangle with the length of b units and the width of c units. The area of these rectangles are

a\cdot c\ \text{and}\ b\cdot c

These two rectangles together form initial rectangle, so the sum of the area of two smaller rectangles is the area of the bigger rectangle.

5 0
2 years ago
An electrician earns 100 dollars for a project installing light fixtures. She must pay for the light fixtures herself and they c
Gnoma [55]

Answer:

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

The given is:

1. An electrician earns 100 dollars for a project installing light fixtures

2. She must pay for the light fixtures herself and they cost 2 dollars

   and 50 cents each

3. x represent the number of light fixtures and y represent her

  total profit

Her profit is the amount of money she has left over after paying for

the light fixtures

∵ The cost of each light fixtures is 2 dollars and 50 cents

- Let us change the cents to dollar

∵ $1 = 100 cents

∴ 50 cents =  dollar

∴ 2 dollars and 50 cents = $2.5

∵ Her profit = The money she earns - The money she pays

∴ The cost of each light fixtures = $2.5

∵ She installs x light fixtures

∴ She pays 2.5 x dollar

∵ She earns $ 100 for installing x light fixtures

∵ Her profit is $y

∴ y = 100 - 2.5 x

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

4 0
2 years ago
What is the equation of the following line? Be sure to scroll down first to see all answer options. (0, 0) ( 15, 3)
diamong [38]
I got y = 1/5x for this one.............
3 0
2 years ago
Read 2 more answers
Other questions:
  • Between two tenths of a mile will the second relay exchange occur? Explain.
    8·2 answers
  • On a tour of an old gold mine, you find a nugget containing 0.82 ounce of gold. gold is worth $1566.80 per ounce. how much is yo
    6·1 answer
  • WXY is an isosceles triangle with line WX congruent to line WY. if WX is 3 more than four times x, XY is 7 less than five times
    15·1 answer
  • Mr. Deets is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How ma
    8·2 answers
  • In expanded notation, the hexadecimal 74AF16 is (7*4096) + (4*256) + (A*16) + (F*1). When converting from hexadecimal to decimal
    12·1 answer
  • Sportware, a leading shoe manufacturer, markets sneakers under the brand name "Athletix" and dress shoes under the brand name "C
    14·1 answer
  • In a class of 30 students, 19 are studying French (F), 12 are studying Spanish (S) and 7 are studying both French and Spanish. H
    5·1 answer
  • A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scat
    12·1 answer
  • If e = 9 cm and f = 40 cm, what is the length of g?
    13·1 answer
  • According to a​ survey, 65​% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!