Please help with the attached HW. I will check your work against mine. please help me with this hw, this is urgent and due in 4 hours

(10 pts) Consider a population of 5 literature students. Each student was assigned a nal paper assignment. For each student (S1 for student 1, S2 for student 2, etc.)I the number of pages the student wrote for his or her paper is listed below: 31:52. 32:64. 33:77. 34:85. 55: 25 (a) Find the mean of the population. Flound to 4 decimal places if necessary. (b) Find the standard deviation of the population. Flound to 4 decimal places if necessary. (c)All the possible samples of size n=2 is listed in the rst column of the table below. For all the possible samples, calculate the sample mean and put that value in the second column. Do not round any quantities. (d) For all the possible samples, calculate the sampling error, and put that value in the third column. Samples of Size n=2 ampling Errors (e) What is the collection of data values in the second column. 'sample means.' called? A. Mean of the sampling distribution B. Sampling error of the means ' 0. Distribution of standard errors ' D. Standard error of the means ' E. Sampling distribution of means (1') Calculate the mean of the data values in the second column of the table. (9) What is symbol associated with the value in part (13? ' A. 0' B. _ HI 1: C. p, D. 0' 5-H (h) Using your answer from part (b) calculate the standard errorI using the nite conection factor. Flound to 4 places if necessary. (0 What is symbol associated with the value in part (h)? A. 53.0\" 901': NJ (10 pts) 1. Statistics students weighed a sample of 5 randomly chosen cans of Coke. and found the sample mean weight to be 12.04 oz. The weights of the population of cans of Coke are normally distributed with a mean of 12.00 oz and a population standard deviation of 0.11 oz. (a) Find the standard enor of the sampling distribution. Round your answer to 4 decimal places. (b) Using the answer from part (a), nd the probability that a sample of 5 cans will have a sample mean amount of at least 12.04 oz. Hound your answer to 4 decimal places. (c) Using the answer from part (a), nd the probability that a sample of 5cans will have a sample mean weight between 11.99 oz and 12.03 oz. Round your answer to 4 decimal places. 2. The weights of American newborn babies are normally distributed with a mean weight of 119.54 02 (about 7 pounds 8 ounces) and a population standard deviation 010.64 02. In a random sample of 12 newborn babies, the mean weight was calculated to be 119.07 oz. (a) Find the standard enor of the sampling distribution. Round your answer to 4 decimal places. (b) Using your answer to part (a), what is the probability that in a random sample of 12 newborn babies. the mean weight is at most 119.07 oz? Hound your answer to 4 decimal places. (c) Using your answer to part (a), what is the probability that in a random sample of 12 newborn babies. the mean weight is more than 120.03 oz? Round your answer to 4 decimal places