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
Sever21 [200]
2 years ago
10

ccording to the U.S. National Weather Service, at any given moment of any day, approximately 1000 thunderstorms are occurring wo

rldwide. Many of these storms include lightning strikes. Sensitive electronic equipment is used to record the number of lightning strikes worldwide every day. 23 days were selected at random, and the number of lightning strikes on each day was recorded. The sample mean was 8.1 million. Assume the distribution of the number of lightning strikes per day is normal and has a population standard deviation of 0.51 million. Please use 4 decimal places for all critical values.
Mathematics
1 answer:
viva [34]2 years ago
3 0

Answer:

The critical value of <em>z</em> for 99% confidence interval is 2.5760.

The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

Step-by-step explanation:

Let <em>X</em> = number of lightning strikes on each day.

A random sample of <em>n</em> = 23 days is selected to observe the number of lightning strikes on each day.

The random variable <em>X</em> has a sample mean of, \bar x=8.1\ mn and the population standard deviation, \sigma=0.51\ mn.

The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:

CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Compute the critical value of <em>z</em> for 99% confidence interval is:

z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.5760

*Use a <em>z</em>-table.

The critical value of <em>z</em> for 99% confidence interval is 2.5760.

Compute the 99% confidence interval for population mean number of lightning strike as follows:

CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\=8.1\pm2.5760\times\frac{0.51}{\sqrt{23}}\\=8.1\pm0.2738\\=(7.8262, 8.3738)\\\approx(7.83, 8.37)

Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

The 99% confidence interval for population mean number of lightning strike  implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.

You might be interested in
3 56/34 - 5 1/2 simplify
MaRussiya [10]

Answer:

29/34

hope this helps

Step-by-step explanation:

4 0
3 years ago
Ik this is the easiest question but who wanna do it for me?:(
sladkih [1.3K]

Answer:

B.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
If you were moving at 14mph for 8 miles, how long would it take you to travel the 8 miles?
Rainbow [258]

Answer

34 minutes

Step-by-step explanation:

3 0
3 years ago
SOLVE FOR X!!<br> (will mark brainliest))
netineya [11]

Answer:

x=15

Step-by-step explanation:

Hello there!

The shown angles are vertical angles

if you didn't know vertical angles are congruent

That being said we can create equation

5x + 40 = 115

now we solve for x

step 1 subtract 40 from each side

40 - 40 cancels out

115 - 45 = 75

now we have 75 = 5x

step 2 divide each side by 5

5x/5=x

75/5=15

we're left with x = 15

6 0
3 years ago
Read 2 more answers
A 5.1-ft-tall person walks away from a 12-ft lamppost at a constant rate of 3.9 ft/sec. What is the rate that the tip of the per
nekit [7.7K]

Answer:

6.78ft/sec

Step-by-step explanation:

From the question, dx/dt= 3.9 ft/sec

We are looking for Dy/dt

From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb

12/y= 5.1/(y-x)

Then ,cross multiply, we have

12(y-x)=5.1y

12y-12x=5.1y

12y-5.1y=12x

6.9y=12x

y=( 12/6.9)x

Differentiating implicitly the bother sides with respect to t, we have

Dy/dt= ( 12/6.9)dx/dt

But dx/dt= 3.9 ft/sec

Then Dy/dt= ( 12/6.9)× 3.9

Dy/dt=6.78ft/sec

Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec

CHECK THE ATTACHMENT FOR THE FIQURE

6 0
2 years ago
Other questions:
  • What is the solution to the system of equations?
    15·1 answer
  • How to do problem 23. <br> 3 log(x-4)=6
    7·2 answers
  • Please help right nkw
    14·2 answers
  • The circumference of a circle with a radius of 5, using 3.14 for pi, to the nearest tenth
    6·1 answer
  • 3x - 9(x-2) = 18x + 30
    13·2 answers
  • An office space is for rent downtown. The rate is $17 per square foot per
    13·2 answers
  • HELP <br> Please don’t answer if you don’t know it.
    12·2 answers
  • PLEASE HELP I HAVE 15 MINUTES LEFT HELP HELP PLEASE
    12·2 answers
  • In the given polygon, AC= 5x - 24, AO= 3. Find x. NO LINKS!!!​
    10·2 answers
  • Solve for x. Show all your work:
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!