Math Answers

 Which of the following is a parameter in the situation “A machine which has been regulated dispenses an average of 330 ml fruit concentrate per bottle. A random sample of 49 bottles filled by the machine has a mean content of 320 ml and a standard deviation of 50 ml.”?

An aeroplane heads due north at 500km/h. It experiences a 80km/h cross wind flowing in the direction N60 degrees E

find the true velocity of the aeroplane

determine the died of the aeroplane.

Find the probability P(Z< -0.73)

In a certain population, it is claimed that the mean number of years of education is 13.2, while the standard deviation is 2.95 years. A random sample of 60 people is drawn from this population, and the sample mean is 13.87 years. What are the hypotheses and test statistic to be used in this case?

A population consist of three numbers (2, 4, 6). Consider all possible samples of size 2 which can be drawn without

replacement from the population. Find the following:

A population consist of three numbers (2, 4, 6). Consider all possible samples of size 2 which can be drawn without

replacement from the population. Find the following:

population mean

population variance and standard deviation

mean of each sample and the mean of the sampling distributions of means

variance of the sampling distributions of means

standard deviation of the sampling distribution of the means.

Answer what is asked in the given problem below. Show your solutions completely. Use an extra sheet of paper for your solutions. NO SOLUTIONS, NO POINTS.

The population is the weight of six pumpkins (in pounds) displayed in carnival "guess the weight" game booth. You are asked to guess the average weight of the six pumpkins by taking a random sample without replacement from the population. Suppose that the sample size of 5 pumpkins were drawn from this population (without replacement), describe the sampling distribution of the sample means.

Pumpkin

A

B

C

D

E

F

Weight in Pounds

19

14

15

9

10

17

What is the mean and variance of the sampling distribution of the sample means?

Compare these values to the mean and variance of the population.

"Solve \t\u222b\u2592\u221bx dx"

Tell whether if the following piecewise function is a continuous at a given point or not. (SHOW THE SOLUTION).

3. at x = 5

x² - 3 if x ≥ 5

4x + 2 if x < 5

Tell whether if the following piecewise function is a continuous at a given point or not. (SHOW THE SOLUTION).

2. at x = 0

1/x if x ≤ -1

x² - 2 if x > -1