5.4.2 Question Help A population has a mean u = 77 and a standard deviation o = 8. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 64. Hy =(Simplify your answer.)5.4.3 Question Help A population has a mean u = 86 and a standard deviation o = 26. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 266. Hy =(Simplify your answer.)5.4.5 Question Help Determine whether the statement is true or false. If it is false, rewrite it as a true statement. As the size of a sample increases, the mean of the distribution of sample means increases. Choose the correct answer below. O A. False. As the size of a sample increases, the mean of the distribution of sample means decreases. O B. False. As the size of a sample increases, the mean of the distribution of sample means does not change. O C. True.5.4.7 Question Help Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below. O A. The statement is false. A sampling distribution is normal if either n 2 30 or the population is normal. O B. The statement is false. A sampling distribution is normal only if n > 30. O C. The statement is true. O D. The statement is false. A sampling distribution is never normal.5.4.15 Question Help The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 62, find the probability of a sample mean being less than 20.5 if u = 21 and o = 1.19. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. For a sample of n = 62, the probability of a sample mean being less than 20.5 if u = 21 and o = 1.19 is (Round to four decimal places as needed.)5.4.17 Question Help V The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 65, find the probability of a sample mean being greater than 228 if u = 227 and o = 5.6. For a sample of n = 65, the probability of a sample mean being greater than 228 if u = 227 and 6 = 5.6 is (Round to four decimal places as needed.)5.4.21 Question Help Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $227 with a standard deviation of $69. Random samples of size 29 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is5.4.32 Question Help The mean height of women in a country (ages 20 - 29) is 64.2 inches. A random sample of 50 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume G = 2.89. The probability that the mean height for the sample is greater than 65 inches is (Round to four decimal places as needed.)