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
<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B3%7D%20%20%20%5Cdiv%20%20%7B2%7D%5E%7B4%7
vodka [1.7K]
A= 2 to the power of -1
Because if it's the same base no in multiplication we add the indices and in division we subtract the indicies
4 0
2 years ago
Fill in the missing information. Tim Worker is doing his budget. He discovers that the average miscellaneous expense is $45.00 w
sleet_krkn [62]
<span>The z for $38.60 = (38.60 - 45)/16 = -0.4
</span>
<span>The percent of area associated with $38.60 = P(z < -0.4) = 0.34458 =34.46%
</span>
<span>The z for $57.80 = (57.8 - 45)/16 = 0.8.
</span>
<span>The percent of area associated with $57.80 = P(z < 0.8) = 0.78814 = 78.81%

</span><span>the percent of his expenses between $38.60 and $57.80 is (78.81 - 34.46) = 44.35%</span>
4 0
2 years ago
Read 2 more answers
Simplify -8 (2-3w) - 5w
Vika [28.1K]
The answer is -16 + 19w
First distribute -8, then collect like terms and simplify.
-16 + 24w - 5w
=-16 + 19w
7 0
3 years ago
Read 2 more answers
Once I lower the points because I'm going broke and won't be able to ask any questions , NOBODY ANSWERS.
Georgia [21]

Answer:

uh just answer a question

Step-by-step explanation:

8 0
2 years ago
If AB is parallel to CD, which statement must be true
Contact [7]
AB and CD do not intersect.

HOPE it helps!!!!!!
8 0
3 years ago
Read 2 more answers
Other questions:
  • If tan 0 = 6.25, then cot 0 =
    8·1 answer
  • How do I simplify this?​
    11·1 answer
  • The graph shown is only a small part of a larger graph. The table shows two additional points that are part of the function but
    7·1 answer
  • 3-2(x-1)=2+4x<br> How do you solve
    9·2 answers
  • Please help!! I’ve tried to answer this but I’m off a few cents every time.
    5·1 answer
  • Y=mx+b b graph. how does changing the value of b affect the graph
    6·2 answers
  • Anyone knows how to solve -6(-5x-3)-5x+17?
    14·1 answer
  • Zane received a quote to move his belongings to his new house. The estimate from the mover is $675 for 6 hours of packing and 5
    5·1 answer
  • There are
    8·1 answer
  • Another math question
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!