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
Ad libitum [116K]
3 years ago
8

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work i

n temperatures of 200-500 degrees. In a test of one type of mask, 24 of 55 were found to have their lenses pop out at 325 degrees. Construct and interpret a 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees.
Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

Answer:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 55, \pi = \frac{24}{55} = 0.4364

93% confidence level

So \alpha = 0.07, z is the value of Z that has a pvalue of 1 - \frac{0.07}{2} = 0.965, so Z = 1.81.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4364 - 1.81\sqrt{\frac{0.4364*0.5636}{55}} = 0.3154

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4364 + 1.81\sqrt{\frac{0.4364*0.5636}{55}} = 0.5574

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

You might be interested in
A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random. What is the probabilit
valina [46]
Hello!

You first find out how many objects there are in total


4 + 9 + 3 = 16

Then you find the probability of Liliana picking a orange

Since there are 4 oranges and 16 things to pick she has a 4/16 chance of getting an orange

Next you find the probability of Liliana picking a pear

There are 3 pears and 16 items to pick so she has a 3/16 chance

Then you add them together to find the chance of either happening

4/16 + 3/16 = 7/16

So she has a 7 out of 16 chance of getting an orange or a pear

The answer is 7/16

Hope this helps!
3 0
3 years ago
Please help me figure out the median.
atroni [7]
What you would do is start crossing the highest and lowest values off on both sides of the chart until you had one or two remaining.
Once that is done, you'll be able to determine the median.

The median in this case is 2.

Hope this helps!

8 0
3 years ago
Which system of equations will yield the same solution as x-y=3 2x-3y=-1​
laiz [17]

Answer: Is there some answer choices? Because I can't help if I  don't have any choices.

Step-by-step explanation:

5 0
3 years ago
Use the figure above to solve for x
Fiesta28 [93]

Answer:

x is equal to 7

Step-by-step explanation:

Because the two horizontal lines are parallel, we know that the angles at which they intersect the diagonal line will be identical.

We also know that on either side of the diagonal line, the sum of the angles between that and either of the horizontal lines will be 180.

In short, we know that the two values given have a sum of 180.  With that we can quickly solve for x:

(x + 67) + (x + 127) = 180

2x + 194 = 180

2x = -14

x = 7

6 0
2 years ago
Set up a table of values and then graph the line from its parametric form.. x=8+4t. y=-1+8t
Shalnov [3]
<span> x=8+4t
 
y=-1+8t

t = 0        x = 8      y = -1
</span>
t = 1        x = 12      y = 7

t = 2        x = 16      y = 15
7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the radius of the circle if the center is at (1,2) and the point (-5,-6) lies on the circle
    12·2 answers
  • A set of 9 numbers has a mean of 20. What additional number must be included in this set to create a new set with a mean that is
    12·1 answer
  • Given g(x) = -2x + 1, solve for x when g(x) = 5.
    10·2 answers
  • In a group 30 high school students 8 take french 12 take spanish and 3 take both languages.how many students of the group take n
    5·2 answers
  • A sixth grade silence club needs 180$ to pay for the tickets to a science museum. All the tickets cost the same amount. What cou
    6·1 answer
  • Https://www.blooket.com/play?id=492019
    11·1 answer
  • If C=x^{2}+7C=x 2 +7 and D=3x^{2}-4x+3,D=3x 2 −4x+3, find an expression that equals 3C+3D3C+3D in standard form.
    5·1 answer
  • Find each sum.<br> 1. 56+ (-56)
    8·1 answer
  • Rateeee me lolllllllzz
    12·2 answers
  • The area of the trapezoid is 40 square millmeter
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!