Question

The test scores of a population of 10 students are as follow: 29, 35, 39, 42, 44, 45, 47, 50, 53, 59. What is the average test score of this population? A. 44 B. 44.3 C. 45 D. 45.3

Question 2 of 6 What is the population standard deviation? A. 8.283 B. 8.751 C. 9.028 D. 9.754

Question 3 of 6 Suppose you take all possible samples of size 4 from this population of 10 and calculate the average of the test scores in these samples. How many samples of size 4 can be taken from the population of 10? A. 4 B. 10 C. 40 D. 210 E. 10000

Question 4 of 6 Upon looking at how the distribution of these 10 numbers are very close to being symmetric and almost resemble a bell shape, we conclude that the test score distribution approximately follows the normal distribution. And since our samples are drawn from a normally distributed population, we will correctly conclude that the sampling distribution of Xbar is normally distributed too, even though our sample size (n=4) is rather small. What is the average of the sampling distribution of Xbar, (i.e. the Miu of Xbar)? A. 8.283 B. 8.751 C. 9.028 D. 9.754

Question 5 of 6 What is the standard deviation of the sampling distribution of the average (i.e. the sigma Xbar)? Hint: In this question and the questions that follow ignore the fact that n/N is more than 5% and still go ahead and use the simple formula for the standard deviation of Xbar (i.e. Standard Deviation / Square root of n) A. 8.283 B. 8.751 C. 4.142 D. 4.376 E. 2.071

Question 6 of 6 If you randomly select a sample of size 4, what is the probability that the average test score in this sample be between 42 and 46? A. 0 B. 0.15 C. 0.29 D. 0.37 E. 0.66

Answer 1