Can you please help me without using excel? I need to learn by hand. Thank you. =)

A) A simple random sample of five basketball players is selected. Their heights (in centimeters) are 170, 175, 169, 183, and 177. What is the standard error of the mean of these height measurements?

Answer is 2.538 must show calculations.

B) The heights (in inches) of men in the United States are believed to be Normally distributed. The average height of a random sample of 25 American adult men is found to be = 69.72 inches with a standard deviation of s = 4.15. What is the standard error of ?

Answer is 0.83 must show calculations.

C) A simple random sample of 100 postal employees is used to test if the average time postal employees have worked for the postal service has changed from the value of 7.5 years recorded 20 years ago. The sample mean was = 7 years with a standard deviation of s = 2 years. Assume the distribution of the time the employees have worked for the postal service is approximately Normal. The hypotheses being tested are H₀: m = 7.5 versus H_a: m 7.5. A one-sample t test will be used.What is the P-value for the one-sample t test?

Answer is 0.01

D) A simple random sample of 20 third-grade children from a certain school district is selected, and each is given a test to measure his/her reading ability. You are interested in calculating a 95% confidence interval for the population mean score. In the sample, the mean score is 64 points and the standard deviation is 12 points. What is the margin of error associated with the confidence interval?

Answer is 5.62 points must show calculations.

E) Scores on the math section of the SAT are believed to be Normally distributed. The scores of a simple random sample of five students who recently took the exam are 550, 620, 710, 520, and 480. What is a 95% confidence interval for m, the population mean score on the math section of the SAT?

Answer is (463.4, 688.6) must show calculations.