MULTIPLE CHOICE. Can you please help me to find the right answer in every question? and please help me know the solution/in every number/in number that need explanation.thanks in advance I will mark it helpful

For numbers 20-24: Consider all sample of size 5 from the population: 2568 10 12 1] 20. Compute the mean of the population A. 9.6954 b. B 21. Compute the variance of the population a. 9.6954 22. Find the number of samples of site 5 a. 21 b. 35 C. 42 23. What is the mean of the sampling distribution of the sample mean? d. 70 a. 9.6954 b. 8 C. 6.27 24. What is the variance of the sampling distribution of the sample mean? . 94 8. 9.6954 b. B For numbers 25 -27. A population has a mean of in and a stamdon't C. 6.27 d. 94 0. Larger than 25.13 D. closer to 25.75 d. Exactly the same as 25.75 36. if the mean of the sampling distribution of the means is 6.5, which of the following best describes the population mean? a. The population is greater than 6.5 b. The population decreased by 6.5 C. The population mean is abo equal to 6.5. d. The population mean and mean of the sampling distribution of the means cannot be compared. 37. T- distribution is a probability distribution uned to estimate parameter EXCEPT when: a. the sample size is small b. the population standard deviation is knows C. the sample size is small and population variance is unknown d. the population variance is unknown 38. Given a set of data, which of the following refers to the independent observation? a Variance b. standard error & Degrees of freedom d standard deviation 39. Which of the following is the value of to.05 with a sample size of 107 (Refer to [-table] J. 1833 b. 1.860 C 1.900 d 1812 40. Which of the following is the value of 10.01 with 11 degrees of freedom? a. 2.718 b. 2.821 C 2.681 d. 2.764 41. What is the 90th percentile in a t-distribution with 12 degrees of freedom? . 1.156 b. 1 796 C 1781 d. 1 363 42. What is the 97.5th percentile in a t-distribution with a sample size of 157 6. 2.160 C 2.145 2 120 41. What is the 99.5th percentile In a t-distribution with 9 degree of freedom? a.2.764 b. 3250 c. 3.169 d. 2821 44. What is the 5th percentile in a t-distribution with 10 degrees of freedom? a-1 363 b. -1.796 C.-1372 d-1.812 45, What is the range used to estimate the population parameter with an attached confidence coefficient? a. Point Estimate b. Confidence Interval C. Margin of Error d. Statistical Inference 45. Compute the 98% interval estimate of given s=3, ne15 and x- 18 a. 1497