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
Hitman42 [59]
2 years ago
7

The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 inches, and a standard

deviation of 12 inches. What is the probability that the mean
annual precipitation during 36 randomly picked years will be less than 109.8 inches?
0.4192
O 0.9192
Ο Ο Ο
O 0.5808
O 0.0808
Mathematics
1 answer:
garik1379 [7]2 years ago
5 0
0.0808 tankou baby shower na
You might be interested in
A sample of 125 pieces of yarn had mean breaking strength 6.1 N and standard deviation 0.7 N. A new batch of yarn was made, usin
AlexFokin [52]

Answer:

The 90% confidence interval for the difference in mean breaking strength between the two types of yarn is (0.08N, 0.52N).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract two normal variables, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

A sample of 125 pieces of yarn had mean breaking strength 6.1 N and standard deviation 0.7 N.

This means that \mu_1 = 6.1, s_1 = \frac{0.7}{\sqrt{125}} = 0.0626

In a sample of 75 pieces of yarn from the new batch, the mean breaking strength was 5.8 N and the standard deviation was 1.0 N.

This means that \mu_2 = 5.8, s_2 = \frac{1}{\sqrt{75}} = 0.1155

Distribution of the difference:

\mu = \mu_1 - \mu_2 = 6.1 - 5.8 = 0.3

s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0626^2+0.1155^2} = 0.1314

Confidence interval:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = zs

M = 1.645*0.1314 = 0.22

The lower end of the interval is the sample mean subtracted by M. So it is 0.3 - 0.22 = 0.08N

The upper end of the interval is the sample mean added to M. So it is 0.3 + 0.22 = 0.52N

The 90% confidence interval for the difference in mean breaking strength between the two types of yarn is (0.08N, 0.52N).

3 0
3 years ago
How many grams in a pound
lbvjy [14]

There are 453.5 grams in 1 pound


I hope that's help and have a great night !

5 0
3 years ago
Read 2 more answers
The G.C.D and L.C.M of three numbers are 3 and 1008 respectively. If two of the numbers are 48 and 72 ,find the least possible v
den301095 [7]

formula= LCM ×GCD of the numbers ÷ The first number

3 0
3 years ago
547321 rounded to nearest one thousand
Sphinxa [80]
The nearest thousand is 547,000
5 0
3 years ago
What is the vertex of g(x) = –3x2 + 18x + 2?
svet-max [94.6K]
G(x)=1
-3x2+18x+2
-6+18+2
6+2
8
4 0
3 years ago
Read 2 more answers
Other questions:
  • The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28. Which solution can be used to fill i
    12·2 answers
  • Hank earns $12 per hour for babysitting. How much does he earn for 15 hours o babysitting?
    13·2 answers
  • Should I go to sleep its 2:57 in the morning n im really tired but dont wanna sleep but im tired
    14·2 answers
  • In which of these cases is each stamp worth the most? A.7 of the stamp worth a total of $3.15 B.8 of the same stamp worth a tota
    5·1 answer
  • What is the product?<br> (4%)(-3x0)(-7x)
    9·1 answer
  • Hello please help i’ll give brainliest
    6·1 answer
  • Pls HELPPP, BRAINLIEST for best and right answer
    15·2 answers
  • If 40 is increased to 56 what is the percent of change<br>​
    15·2 answers
  • If the circumference of the circle below is 90, what is the length of the minor arc)? 609 A. 90 B. 15 C. 30 D. 10
    11·1 answer
  • 15. 3x-5=3
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!