Present complete solutions for each item. Illustrate the normal curve if possible.

. A population consists of six values [6. 9'. 12. 15. 18. and 211.1135 points] a. Select a random sample of size 3. Explain the random sampling that vou used. [3 pix.) to. How many possible samples can be drawn? [3 pts.) c. list all possible samples and compute the mean of each sample. {to pin.) d. Construct a treauencv distribution at the sample means obtained in step 2 including inf: For]; T: - Per); Ez-P[f];EP[1-'): 3- PL?) and 2i? - PH]. {13 pix.) e. Determine the mean. variance and standard deviation of the sample mean. [i pix.) . The scores at individual students on a national test have a normal distribution with mean of 18.6 and a standard deviation of 5.5L At Federico Ramos Rural High School. 3'6 students tool-c the test. It the scores at this school have the same distribution as national scores. solve for the following: {so points} a. determine the mean and standard deviation of the sampling distribution at the sample mean. [3 p11} b. nd the prol'.:lat::~ilii'g.rr that the sample mean falls between I? and 2t] [PUT a: f s: 2o]. [11'] Phi-t c. the number of sample means that is above 19.3 kilograms. {3' pts.)