You collect a random sample of 50 children and compute X , the average height in inches. The sample standard deviation (s) equals 10. Suppose the true mean height u equals 45 inches. For which of the following values of will a 95% confidence interval contain the true mean u? 1. X = 47.5 inches 2. X = 50 inches 3. X = 42 inches ( Answer Choices) - 1. Only - None of the above - 1 and 3 only - All of the above - 3. Only 2. You collect a random sample of 50 children and compute X , the average height in inches. The sample standard deviation (s) equals 10. Suppose the true mean height u equals 45 inches. For which of the following values of X will a 99% confidence interval contain the true mean y? 1. X = 47.5 inches 2. X = 50 inches 3. X = 42 inches (Answer Choices) - None of the Above - 1 only - 3 only - 1 & 3 only - All of the above 3. You collect data on N = 25 student weights and find that the average student weight X in your sample is 135 pounds. The sample standard deviation (s) is 15 pounds. Compute the margin of error for a 99% confidence interval of the mean weight (M) in the population. Round your answer to two decimal places. 4. You wish to estimate the average weight of frogs in a certain pond. You plan to randomly sample N frogs and estimate their average weight ( X ) and construct a 95% confidence interval. Assume the standard deviation (o) in weight between individual frogs is approximately equal to 3 grams. How large a sample do you need so that the margin of error for your confidence interval is 0.25 grams? Round your answer up to the nearest integer. 5. You wish to estimate the average weight of frogs in a certain pond. You plan to randomly sample N frogs and estimate their average weight ( X ) and construct a 99% confidence interval. Assume the standard deviation (o) in weight between individual frogs is approximately equal to 3 grams. How large a sample do you need so that the margin of error for your confidence interval is 0.25 grams? Round your answer up to the nearest integer