Statistics and Probability Answers

if the population consists of number 1,2,3,4,5 and 6,find the mean of the samples of size 3.construct a sampling distribution

A population consists of the values (1, 3, 4). How many samples of size 2 can be drawn from this population considering that replacement is allowed? *

consider all samples of size 4 from this population: 1,5,6,8,10. calculate the standard deviation of the sampling distribution of the sample means

If X follows a normal distribution with u = 30 and o=4, what is P(X<27)?

A researcher claims that the mean monthly consumption of coffee per person is more than 19 cups. In a sample of 60 randomly selected people, the mean monthly consumption was 20. The standard deviation 10 of the sample was 4 cups. Which is the parameter to be tested in this claim? *

A population consist of three numbers (3,4,7).Consider all possible samples of size 2 which can be drawn from the population.Find the variance of the sampling distribution of the sample means

A population consists of N=5, as follows: 4, 8, 12, 16, and 20. Estimate the population mean using

random variable of size n=3.

The average weight of ten bulls is 500kg and the standard deviation of the weight is 30kg.What would be the weight of a bull that is 6 standard deviation above the mean weight?

Solve for the mean and the variance of the discrete random variable x wich can take only the values 2,4,5 and 9 given that P(2) =9/20, P(4) =1/20, P(5) = 1/5 and P(9)= 3/10

ACTIVITY 2:  APPLY THE CENTRAL LIMIT THEOREM

1. A Neilsen reported that children between the ages 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours. If 20 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.

2. Assume that the mean systolic blood pressure of normal adults is 120 milliliters of mercury (mmHg) and the standard deviation is 5.6. If the sample of 30 adults is randomly selected, find the probability that the sample mean will be between 120 and 121.8 mmHg. Assume that the variable is normally distributed.