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11Alexandr11 [23.1K]
3 years ago
8

Giả sử cho A1 = {1,2,3,4}, A2 = {1,2,7,12}, A3={0,1,2,4,8,16,32} và A4 = {-3,-2,-1,0,1,2,3}

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Step-by-step explanation:

R2 A1 A2 A3 A4 A5 R3 A1 A2A6

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The data given to the right includes data from ​candies, and of them are red. The company that makes the candy claims that ​% of
Dafna1 [17]

Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

n = 39, \pi = \frac{8}{39} = 0.2051

Hence the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318

As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

7 0
2 years ago
Can someone help me with this question please.
sineoko [7]

Answer: y = 85 2) 36.222°

Step-by-step explanation:

281 + 268 + 225 + 290 = 1064

1064 / 7 = 152

152 x 12 = 1824

392 + 512 + 413 + 422 = 1739

1824 - 1739 = 85

Therefore y = 85

8 0
4 years ago
What’s the correct answer
lana66690 [7]
Idk what deviation set is but im guessing B because each term went up by 1
4 0
3 years ago
Read 2 more answers
I needs some help pls
GrogVix [38]
Here is the order

- 6 2/3 ,- 1.3 , 29/8 , 7
5 0
3 years ago
Jenna wants to build 8 birdhouses. She needs 2 3/5 square feet of plywood for each birdhouse. If the plywood costs $0.56 per squ
goldenfox [79]

Answer:

$11.76

Step-by-step explanation:

We first need to find the amount of plywood for all birdhouses.

2 3/5 * 8 = 104/5 or 20.8 or 20 4/5

Now we can solve the cost for all the birdhouses by multiplying the total amount of plywood needed by the price per square foot.

20.8 * 0.56 = $11.648 or estimated $11.65

Remember, the question might be different, so don't submit anything yet. If the people who sell the plywood only sell in integer numbers (meaning you can't buy 4/5 of a square foot of wood but can only by amounts with no fractions), then Jenna must buy 21 square feet of plywood and will have a little bit of wood left over. Now solve just like before.

21 * 0.56 = $11.76

Therefore the answer is $11.76 if she can only buy an integer amount of plywood or estimated $11.65. I think the best answer is 11.76.

3 0
3 years ago
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