Question

Part 1

1. generate 500 data random in Excel with an of the distributions views in class that not is it normal.

2 make a histogram of the 500 data generated.

3 take 100 samples of 10 500 generated data data and obtain the means of each sample in Excel.

4. make a histogram of averages show them data.
Do the histogram elaborated in point 4 corroborates what is expressed in the Central limit theorem?
Why?

part 2

1. theory: Define the Central limit theorem.

2. samples of cement hardness can be modeled by a normal distribution with a mean of 6,000 kg/cm2 and a standard deviation of 1000 kg/cm2.
(a) what is the probability that the hardness of the sample is less than 6,250 kg/cm2?

(b) what is the probability that the sample hardness is between 5,800 and 5,900 kg/cm2?

(c) which value is exceeded by 90% of the hardships?

(d) between which values is 95% of the hardships?

Answer 1