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
Bad White [126]
3 years ago
11

A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. Th

e weight limit will be reported on cable packaging. The engineers take a random sample of 43 cables and apply weights to each of them until they break. The 43 cables have a mean breaking weight of 774.3 lb. The standard deviation of the breaking weight for the sample is 15.4 lb. Find the 90% confidence interval to estimate the mean breaking weight for this type cable.
Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

At   90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)

Step-by-step explanation:

Given that:

sample size n =43

sample mean x = 774.3

standard deviation = 15.4

confidence interval = 90%

At C.I of  90% , the level of significance ∝ = 1 - C.I

the level of significance ∝ = 1 - 0.90

the level of significance ∝ = 0.10

The critical  value for z at this level of significance is z_{\alpha/2} = z_{0.10/2}

z_{0.05} = 1.64

The margin of error can be computed as follows:

Margin of error = \mathtt{z_{\alpha/2}  \times \dfrac{\sigma}{\sqrt{n}}}

Margin of error =  \mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}

Margin of error = \mathtt{1.64 \times \dfrac{15.4}{6.5574}}

Margin of error  = \mathtt{1.64 \times2.3485}

Margin of error = 3.8515

The mean breaking weight  for the 90% confidence interval is = \mathtt{\overline x  \pm E < \mu }

=  \mathtt{\overline x  - E < \mu < \overline x + E}

= ( 774.3 - 3.8515  < μ < 774.3 + 3.8515 )

= (770.4485, 778.1515)

\simeq (770.45, 778.15)

You might be interested in
Which number is an irrational number?
EastWind [94]
The answer is d. it isn’t an exact number
5 0
3 years ago
For graph f what is f(0)?
Darina [25.2K]

Answer:

2

Step-by-step explanation:

The function shows a point at 2 where x = 0.

3 0
2 years ago
Please help me idk this
Soloha48 [4]

Answer:

round it up and 8 is closer to ten so it would be 4 pounds

4 0
3 years ago
Read 2 more answers
(15) Geometry Help plz
MakcuM [25]
X = measure of angle 1
y = measure of angle 2
z = measure of angle 3
w = measure of angle 4

Focus on the bottom triangle. The three angles add to 180 degrees
(angle 2) + (angle 3) + 116 = 180
y+z+116 = 180
y+z= 180-116
y+z= 64

Since we have the bottom triangle as isosceles, this means that y = z, so
y+z = 64
y+y = 64
2y = 64
y = 64/2
y = 32
making z = 32 as well

Similarly, angle 1 and angle 4 are 32 degrees because the 116 angle is opposite the top left-most angle, and congruent to this angle. In other words, the bottom triangle is a mirror image of the top triangle.

The figure is a rhombus because all four sides are the same length (as shown by the tickmarks)

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

Answer: 
This figure is a rhombus
All four angles (angle 1 through angle 4) are the same measure. They are each 32 degrees

6 0
3 years ago
Explain how can you use a quick picture to find 3 x 2.7
weeeeeb [17]
2.7
×3
=8.1
i tride my best
6 0
3 years ago
Read 2 more answers
Other questions:
  • Please work this out for me.
    9·1 answer
  • It's not 0.9158 or w/ the added 5 XP
    6·1 answer
  • 104/360 simplfy this fraction
    13·2 answers
  • What is the area of a triangle
    13·1 answer
  • Line ST connects point S and point T
    7·1 answer
  • Simplify. <br><br> −3x3(−2x2+4x−3)
    6·2 answers
  • PLEASE ANSWER AS SOON AS YOU CAN I WILL MARK BRAINLY
    8·2 answers
  • Find the slope thanks ​
    9·1 answer
  • At the beginning of the month, Rachel's Used Car Dealership had 80 cars on
    12·1 answer
  • Use the distributive property (expand) to write an equivalent expression for: 3(4x-2t). Type your answer ( I NEED THIS RIGHT AWA
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!