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
Delvig [45]
1 year ago
12

Defective electronics: A team of designers was given the task of reducing the defect rate in the manufacture of a certain printe

d ole circuit board. The team decided to reconfigure the cooling system. A total of 985 boards were produced the week before the reconfiguration was implemented, and 260 of these were defective. A total of 842 boards were produced the week after reconfiguration, and 194 of these were defective. Part: 0/2 Part 1 of 2 (a) Construct a 99% confidence interval for the decrease in the defective rate after the reconfiguration. Use the TI-84 Plus calculator and round the answers to three decimal places. A 99% confidence interval for the decrease in the defective rate after the reconfiguration is <21-22<0.
Mathematics
1 answer:
patriot [66]1 year ago
7 0

The 99% confidence interval for the decrease in the defective rate after the reconfiguration is (-0.018, 0.086).

<h3>How to find Confidence Intervals?</h3>

Let the random variable & parameters be;

x1 : Number of successes from group 1

x2 : Number of successes from group 2

p1: Proportion of successes in group 1

p2: Proportion of successes in group 2

n1 : number of trial in group 1

n2: number of trial in group 2

We are given;

x1 = 260

n1 =985

x2 = 194

n2 = 842

Thus;

p1 = 260/985

p1 =0.2640

p2 = 194/842

p2 = 0.2304

Constructing a (1 - α)100% confidence interval for proportion from the formula;

(p₁ - p₂) - z√[((p₁(1 - p₁)/n₁) + p₂(1 - p₂)/n₂)]

plugging in z = 2.576 and the values of p₁, p₂, n₁ and n₂, we have the confidence interval as;

(-0.0184631, 0.0855743)

Therefore the 99% confidence interval for the decrease in the defective rate after the reconfiguration is (-0.018, 0.086).

Read more about Confidence Interval at; brainly.com/question/17097944

#SPJ1

You might be interested in
Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers how much time will it take her?
kupik [55]
6\ km\ in\ 3\ hours\\\\&#10;10\ km\ in\ x\ hours\\\\&#10;proportion:\\&#10;6-3\\&#10;10-x\\\\&#10;cross\ multiplication\\\\&#10;6x=3*10\\\\&#10;6x=30\ \ \ | divide\ by\ 6\\\\&#10;x=5\\\\ It\ will \ take\ 5\ hours.
5 0
3 years ago
A study shows that 78​% of the population of all calculus students consider calculus an exciting subject. Suppose 20 students ar
alexdok [17]

Answer:

0.046145 = 4.6145%

Step-by-step explanation:

We need to find the probability of 19 or 20 (all) students considering calculus to be an exciting subject, so first we find the probability for 19 students, then for 20 students, and we sum these probabilities.

The probability of the student NOT considering calculus to be an exciting subject is 1 - 0.78 = 0.22

For 19 students, we also have to calculate a combination of 20 choose 19, as these 19 students can be in different "position" among the 20 students, so:

C(20,19) = 20!/19! = 20

Probability of 19 students considering calculus to be an exciting subject:

C(20,19) * 0.78^19 * 0.22^1 = 0.039196756

Probability of 20 students considering calculus to be an exciting subject:

C(20,20) * 0.78^20 = 1 * 0.78^20 = 0.006948516

The final probability is:

0.039196756 + 0.006948516 = 0.046145272 = 4.6145272%

Rounding to six decimal places: 0.046145 = 4.6145%

5 0
3 years ago
-15
otez555 [7]
The next one is 16 probably
6 0
2 years ago
ASAP PLZZZ
kari74 [83]
Is there a photo? I know the last option is true but I feel like there should be a photo with this
6 0
3 years ago
Read 2 more answers
Please solve this question withvfull process i will wark as braineast a) After allowing 5 % discount on the marked price of a ra
schepotkina [342]

Answer:

Let the marked price be x

Discount % = 10%

Discount = 10\% \times x = 0.1x10%×x=0.1x

Cost after discount = x-0.1x = 0.9x

10%vat is charged on it

Cost including VAT = 0.9x+0.1(0.9x)=0.99x0.9x+0.1(0.9x)=0.99x

We are given that  it's price became rs 1672

So, 0.99x = 1672

x=\frac{1672}{0.99}x=0.991672

x=1688.88

Discount = 0.1x=0.1(1688.88)=168.888

Hence The discount

7 0
3 years ago
Other questions:
  • Please answer what the missing number is
    5·2 answers
  • If the probability it will rain on monday is 3/4
    5·1 answer
  • X + 7&lt;8<br><br> PLLLLSSS its due in 30 mins
    12·2 answers
  • Find x<br> Find the measure of the indicated angle.
    12·2 answers
  • -X + 5 + 3x = 4 + 2x + 1
    5·1 answer
  • Adding up inches in a perimeter
    6·1 answer
  • MATH HELP ASAP!! MAKING BRAINLIEST!
    12·1 answer
  • The graph of y = x^2 -2x -3
    12·1 answer
  • Which fraction equals 29 }}16 ?
    12·2 answers
  • A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!