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
Effectus [21]
3 years ago
7

A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 ki

lograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis LaTeX: H_0=\mu=12H0=μ=12 against LaTeX: H_1=\mu>12H1=μ>12 using a random sample of specimens. Calculate the P-value if the observed statistic is. Round your final answer to five decimal places
Mathematics
1 answer:
shepuryov [24]3 years ago
5 0

Answer

given,

mean = 12 Kg

standard deviation = 0.5 Kg

assume the observed statistic is = 11.1

 now, \bar{X}=11.1 , \mu = 12 , \sigma = 0.5

assuming the number of sample = 4

n = 4

Hypothesis test:

H₀ : μ≥ 12

Ha : μ < 12

now,

significant level α = 0.05

z* = \dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

z* = \dfrac{11.1-12}{\dfrac{0.5}{\sqrt{4}}}

     z* = -3.60

Test statistics, Z* = -3.60

P-value

P(Z<-3.60) = 0.002 (from z- table)

P- value = 0.002

now,

reject the value of H₀ when P-value < α

    0.002 < 0.05

since, it is less P-value < α , we have to reject the null hypothesis

You might be interested in
A jewellry shop sells 240 necklaces in a month
Colt1911 [192]

Answer:

Ratio is 1:3

Step-by-step explanation:

Given that a jewellery shop sells 240 necklaces in a month. 180 were sold via the shops website, the rest were sold in a high street shop.

We have to work out the ratio for online sales to shop sales

Total sales .. 240

Shop sale .. 180

Online sa .. 60

Hence ratio for online sales:shop sales

5 0
4 years ago
Read 2 more answers
annual sales for a company are $149,999 and are increasing at a rate of 6% per year. write an exponential growth function to mod
elixir [45]

Answer:

  • S(t) = 149999(1.06)^t
  • $225543

Step-by-step explanation:

  • Initial value is $149999
  • Increase rate is 6% per year = 1.06 times

<u>The model of the growth is:</u>

  • S(t) = 149999(1.06)^t, where S- amount of annual sales, t- time in years, 1.06- growth rate per year

<u>Annual sales after 7 years:</u>

  • S(7) = 149999(1.06)^7 = $225543
4 0
3 years ago
Iv) a) 4x 10² solve it in decimal ​
qwelly [4]

40.0*10 is the answer

actually it is 400 but u want in decimal so it is 40.0*10

6 0
3 years ago
Read 2 more answers
Which equation represents a line which is parallel to the line 3x - y = 6?​
DochEvi [55]

Step-by-step explanation:

We just have to remember the line equation <u>y=mx+b</u> , then place the given equation into this form (y= -3x-6).

Remember that (m) is your slope. So, to find a parallel line, they must have an equal slope. Check the other equations and see which one had a slope of -3. The answer C also has a slope of -3. So those lines would be parallel.

6 0
3 years ago
Write an equation of the line that is perpendicular to y=1/2x-3 and goes through the point (1,3)
Alex_Xolod [135]

Answer:

y = -2x + 5

Step-by-step explanation:

y=\frac{1}{2}x-3

Slope of this line m₁ = 1/2

Slope of the line perpendicular to this line = m₂

m₁ *m₂ = -1

m₂ = -1 *2/1 = -2

Slope  = -2; (1,3)

y- y₁ = m(x-x₁)

y - 3 = -2(x - 1)

y - 3 = -2x + 2

y = -2x +2 +3

y = -2x + 5

5 0
3 years ago
Other questions:
  • What answers go to these questions
    6·1 answer
  • Let f = {(–2, 4), (–1, 2), (0, 0), (1, –2), (2, –5)}.
    15·2 answers
  • What is solution 7x+5y=-24 and 4x+y=42?
    13·2 answers
  • Which graph represents an odd function?
    13·2 answers
  • Please help, multiple choice
    10·1 answer
  • If you can't see it the question is use benchmarks to estimate decimals:
    9·2 answers
  • Help me please help. ........................​
    8·1 answer
  • P•X=-10 <br><br> I already know the answer but what why is P -10?
    11·2 answers
  • Factor the expression completely. x^4-9x^2+14 x 4 −9x 2 +14
    10·1 answer
  • Solve the equation 8x - 2 + x = 3(1 - 2x)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!