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
yan [13]
2 years ago
15

A die is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true propo

rtion of evens rolled on a die.
Mathematics
1 answer:
Archy [21]2 years ago
8 0

Answer:

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

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 = 25, \pi = \frac{12}{25} = 0.48

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

You might be interested in
Which statements are correct interpretations of this graph?
Keith_Richards [23]

Answer:

✅6/10 of a page is edited per minute

✅3 pages are edited every 5 min

Step-by-step explanation:

On the graph, there are 3 points given, which are:

(5, 3), which means 3 pages are edited every 5 mins

(10, 6), which means 6 pages are edited every 10 mins.

(15, 9), which means 9 pages are edited every 9 mins.

Pages edited per minute, using the point (10, 6) would be:

y/x = 6/10. This means ⁶/10 of a page is edited per minute

The correct statements that interprets the graph are:

✅6/10 of a page is edited per minute

✅3 pages are edited every 5 min

4 0
2 years ago
An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units.
wolverine [178]

we know that

volume of the cylinder =\pi *r^{2} *h

in this problem

diameter=14 units\\\\ r=\frac{14}{2} \\\\ r=7 units


Volume=1,176\piunits³

solve for h

h=V/(\pi *r^{2} )\\ h=1,176\pi  /(\pi *7^{2} )\\ h=24 units

therefore


the answer is

the height of the cylinder is 24 units

3 0
3 years ago
Read 2 more answers
Each quarter weighs 0.2 ounces. How much money has been stolen from the bank? Report the amount in $. Ex. "$528" *
kodGreya [7K]

Answer:

$640

Step-by-step explanation:

512/0.2 = 2560 quarters

2560 quarters = 640 US Dollars

Hope this helps !

8 0
2 years ago
50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
seraphim [82]

Answer:

73

Step-by-step explanation:

48^2 + 55^2 = 5329

square root of 5329 is 73

7 0
3 years ago
Read 2 more answers
There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per hour. At
kumpel [21]

Answer:

The required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

Step-by-step explanation:

Consider the provided information.

Let x represents the number of hours and S(x) represents the depth of snow.

There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per.

That means the depth of snow will be:

S(x)=1.5x\ \ \ 0\leq x< 4

At  4:00 a.m., it starting falling at a constant rate of 3 inches per hour,

From mid night to 4:00 a.m the depth of snow will be 1.5×4=6 inches.

If we want to calculate the total depth of snow from midnight to 7:00 am we need to add 6 inches in 3(x-4) where 4≤x<7

Therefore,

S(x)=3(x-4)+6\ \ \ 4\leq x

7:00 a.m. to 9:00 a.m., snow was  falling at a constant rate of 2 inches per hour.

From mid night to 7:00 a.m the depth of snow will be 3(7-4)+6=15 inches.

If we want to calculate the total depth of snow from midnight to 9:00 am we need to add 15 inches in 2(x-7) where 7≤x≤9

S(x)=2(x-7)+15\ \ \ 7\leq x\leq 9

Therefore, the required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

8 0
3 years ago
Other questions:
  • What is the difference between relative frequency and experimental probability?
    14·1 answer
  • On a mountain, the temperature decreases by 18°F every 5000 feet. What integer represents the change in temperature at 20,000 fe
    11·1 answer
  • The radius of a circle is 8 meters, what is the diameter?
    12·2 answers
  • Find the prime factorization of 245
    5·2 answers
  • How do you estimate the sum or difference of 5/12 + 7/8​
    5·1 answer
  • PLEASE ANSWER! 10 Points
    12·2 answers
  • Construct the described data set. The entries in the data set cannot all be the same. The median and the mode are the same. What
    14·2 answers
  • For 3x2 - 4x+ 1, match the following:
    9·1 answer
  • Please answer this correctly
    6·1 answer
  • Simplify the expression below as much as possible.<br> (8 + 9i) + (5 - 91) - (8 - 7i)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!