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:
In which:
is the sample proportion.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, 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:
Hence the bounds of the interval are:
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
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In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero.
Taking the derivative of the given equation and equating it to zero, we have:
y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03
Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,
y = (0.000015)(1000)² - (0.03)(1000) + 35
The minimized cost, y, to produce 1000 chips is then calculated to be $20.
Answer:
The median is 55.833
The range is 90
The mode is 4
Step-by-step explanation:
To find median you
1. Arrange your numbers in numerical order.
2. Count how many numbers you have.
3. If you have an odd number, divide by 2 and round up to get the position of the median number.
4.If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
To find mode you put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode. To find range you first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
Hi!
What you'll first need to do is subtract 4 from 4 and 13. After doing so, your equation will look like this...
-3x=9
Next, you'll need to divide -3x and 9 by -3. After you've done that, you'll get...
x=-3.
So your answer would be x=-3
I hope this helps!
