1answer.
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
NemiM [27]
2 years ago
12

The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different we

ighings are independent of one another and that the weight on each trial is normally distributed with Sigma = 0.200 kg. Let µ denote the true average weight reading on the scale.
Required:
a. What hypotheses should be tested?
b. With the sample mean itself as the test statistic, what is the P-value?
Mathematics
1 answer:
Natali5045456 [20]2 years ago
3 0

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

$H_0 : \mu = 13 $

$H_a : \mu \neq 13$

b). When the value of $\overline x = 12.84$

 Test statics :

   $Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $

  $Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $

          $=\frac{1.82}{0.04}$

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

You might be interested in
Can someone smart help me with this question plz:)
SOVA2 [1]

Answer:

K = 50

L = 90

KML = 40

LMN = 140

Step-by-step explanation:

The sum of the angles in a triangle will always be 180 degrees, and in the triangle pictured, we know the value of each angle. We can say that

5x + 4x + 9x = 180

18x = 180

x = 10

Now that we know the value of x, we can figure out the value of the angles.

K = 5x = 50

L = 9x = 90

KML = 4x = 40

A straight line is 180 degrees, so to find angle KMN, you have to subtract KML (4x) from 180

180 - 4x = 180 - 40 = 140

3 0
2 years ago
Can a polygon have four sides and three angles
ollegr [7]

No a polygon only has 3 sides and 3 angles.

5 0
3 years ago
What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. -6,-3 6,-7
-BARSIC- [3]
The answer is at the bottom hope this helps

7 0
3 years ago
Read 2 more answers
If 10% of x is 30, what is 23% of x <br> A. 33<br> B. 46<br> C. 200<br> D. 230
aliina [53]

Answer:

69

Step-by-step explanation:

I'm mathematics, the word 'of' transfers into becoming 'times or Multiply'

Therefore, the expression can be rewritten as:

10/100 of x = 30

10x / 100 = 30

Cross Multiply the equation to solve for x

10x = 100 * 30

10x = 3000

x = 3000 / 10

x = 300

(Since we gotten the value of x as 300) let's find 23% of it.

Therefore,

23% of x, ( when x is 300)

= 23/100 * 300

= 23 * 3

= 69

(Well, although that's the workable solution, the option doesn't seen to tally)

Maybe you check the source, but am certain about the Solution.

Let's keep learning, maths is fun !

3 0
2 years ago
Read 2 more answers
I need help is it a, b, c, or d
Salsk061 [2.6K]
It’s B
23x+23
Just add
3 0
3 years ago
Other questions:
  • 462.6017281 what is the nearest tenth
    14·1 answer
  • P(5,6), -4x + 5y = 15 <br> into slope intercept form
    15·1 answer
  • Find the value of x2 for these values of x<br> a: 2 b: 3 c:9 d:10<br> Help Please?
    10·1 answer
  • Which statements about quadrilaterals are true? Check all that apply.
    5·2 answers
  • Please help me thank you and show work
    6·2 answers
  • Simplify<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B6%20%7B%20%7B%7D%5E%7B7%7D%20%7D%5E%7B%7D%20%7D%7B6%20%7B%7D%5E%7B5%7
    6·2 answers
  • It takes 570 gallons of paint to
    6·1 answer
  • PLEASE HELP!!!!! thank youuuu :$
    6·1 answer
  • In a triangle XYZ, x = 24 cm, y = 19 cm and YXZ = 62o. The magnitude of XYZ..
    5·1 answer
  • What is a water density thermometer?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!