Statistics and Probability Answers

A population consist of the number 2,3,4

a. Enumerate all possible sample size of 2.

b. Compute for the mean of each sample.

c. Find tye mean of the mean.

d. Find the standard deviation of the sample means.

e. Find the population mean.

f. Find standard deviation.

g. Find the standard error of the mean

What's poison distribution

Sprinters who run races involving curves around a track (usually distances over 200 meters) often have a preference for a particular lane. A runner might feel that an assignment to an outside lane places her at a disadvantage relative to her opponents. In fact, a 2001 survey of college-level sprinters found that 75% preferred to run in lane #4.

Consider this experiment. As a race organizer, you randomly select five runners from a pool of nine and assign them to lane #1, lane #2, lane #3, and so on, in the order they are selected.

How many experimental outcomes are there for this experiment? 

Let X follows a normal distribution with mean 40 and variance 9. Then mean of Y= (X-40)/3 is

Direction: Answer the following and illustrate each under the normal curve:

1. Compute the probability area to the left of z = -1.25.

2. Compute the probability area above z = 1.

3. Find the probability area between z = -0.25 and z = 1.5.

4. Find the 90th percentile of a normal curve.

5. Compute the upper 5% of the normal curve.

The following sample observations were randomly selected:

X. 4. 5. 3. 6. 10

Y. 4. 6. 5. 7. 7

determine the correlation coefficient and the coefficient of determination

2. In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is MPa. The decision for the extension of the contract with the manufacturer depends on the engineer . Test the hypothesis whether there is no significant difference between the two means using a twotailed with a = 0.01

1. A meeting of envoys was attended by 4 koreans and 2 filipinos. If there envoys were selected at random one after the other , determine the values of the random variable F representing the number of Filipinos.

2. During a sale at a men’s store, 16 white sweaters, 3 red sweaters, 9 blue sweaters, and 7 yellow sweaters were purchased. If a customer is selected at random, find the probability that he bought,

a. A blue sweater. (3 marks)

b. A yellow or a white sweater. (3 marks)

c. A red, blue or a yellow sweater. (3 marks)

d. A sweater that was not white (3 marks)