A population consists of the four numbers 2, 3, 6, 9 with mean 5 and variance = 7.5. Consider all the possiblesamples of size two which can be drawn with replacement from the population. Below is the samplingdistribution of the sample mean.SampleSample meanSampleSample mean2,226,242,32.56,32,646,62,96,93,29.29,33,33,69,69.93,9Samplemean25.52.534.562.5344.55.54.567.55.567.5967.5 9 34.59,39,69.962 2.5 363,33,67.593,9Samplemean44.55.5 67.5 91/16 2/16Probability 1/16 2/162/16 2/16 3/162/16 1/16Find the mean of the sample mean. [Select]Find the standard error of the sample mean. [Select ]The heights of students in a certain school are normally distributed with a mean of 155.3 centimeters and astandard deviation of 6.8 centimeters. What is the probability that the mean height of random sample of 26student will be below 151 centimeters? [Select]

Answered: Image /qna-images/answer/b3ce6caf-cd19-4703-aadb-333f724051e3.jpg

A population consists of the four numbers 2, 3, 6, 9 with mean = 5 and variance = 7.5. Consider all the possible samples of size two which can be drawn with replacement from the population. Below is the sampling distribution of the sample mean. Sample Sample mean Sample Sample mean 2,2 2 6, 2 4 2,3 2.5 6,3 4.5 2,6 4 6,6 6 2,9 6,9 7.5 3,2 9,2 5.5 3,3 9,3 6 3,6 9,6 7.5 3,9 9,9 9 Sample mean 2 5.5 2.5 3 4.5 6 2.5 3 4 4.5 5.5 6 7.5 9