Listen to peoples problems, care about them and give advices.
Answer:
Mean = 18.8
Step-by-step explanation:
Mean = (Sum of all values)/(Number of values)
Mean = (12 + 15 + 18 + 23 + 26)/5
Mean = 94/5
Mean = 18.8
Answer:
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 50
Standard Deviation, σ = 1.3
Sample size, n = 12
We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =

P(sample mean hardness for a random sample of 12 pins is at least 51)
Calculation the value from standard normal z table, we have,
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
Answer:
No, it is not okay to conduct the simulation this way.
Step-by-step explanation:
In statistics, simulation refers to a technique that is employed to model random events so that the results obtained from using the simulation is significantly similar to the results obtained from observing the real-world.
Researchers are therefore able to understand the real world when they observe the simulated outcomes.
From the description above, it can be seen that simulation is about studying random events. Therefore, a sample of the population that will be used in the simulation must be selected through a random sampling.
Random sampling refers to the sampling method that gives equal opportunity of being selected to each member of the population. This makes the sample selected through random sampling technique to be an unbiased representation of the total population.
As a result, making up 31 numbers between 1 and 365 by the student is not a random sampling, because his method may favor some numbers over others. It is therefore a defective method of carrying out simulation.
Therefore, the it is not okay to conduct the simulation this way.
I wish you the best.
Answer:
18) 4 * 10 ^ -10
19) t ^ 9
Step-by-step explanation:
18. When multiplying in scientific notation, just multiply the regular numbers together and add the exponents for the tens.
So it'll be 40 * 10^-11
However, the beginning number should have the decimal right after the 4, not any place after (for example, it's 3.056, not 30.56 or 3056.)
To fix this, move the decimal place forward one space from 40. to 4.0, and add 1 to the -11 power.
So the answer is now 4 * 10^-10
19. When dividing exponents, if the base number is the same, you can divide. (Basically, you can not divide x^2 and y^3 because x and y aren't the same)
Since in this case it's t, you can divide.
Dividing exponents is simple: just subtract them.
14 - 5 = 9
so the answer is t ^ 9