Questions 1-5 follow the instructions:

When you are asked "What is the population?\When you are asked "What is the sample statistic?\When you are asked \"What is the sampling distribution (and why)?\DISTANCE OF A SCOOTER RIDE Bird's data analyst wants to model the sample mean distance of scooter rides. They plan to take a random sample of 41 scooter rides and to record the distance traveled on each ride (distance before the rider \"releases\" the scooter and the charge is processed). They decide it is reasonable to assume that the distribution of distances is approximately normal, but they don't know the variance of the distribution. In the sample, the mean is 0.54 mile and the standard deviation is 0.1 mile. 1. What is the population? Letter (see multiple choices in the instructions) 2. What is the sample statistic? Letter (see multiple choices in the instructions) 3. What sampling distribution should we use to compute the probabilities in the next two questions (and why)? Letter (see multiple choices in the instructions) 4. If the population mean of the distribution of distances is 0.5, what is the probability that the sample mean will be 0.54 or larger? Four decimals, tolerance 0.0005 SAMPLING THEORY 5. What is the exact probability that the sample mean will be within % of one sample standard deviation of the population mean? Four decimals, tolerance 0.0005 HINT: In this question, you do n_ot have a value of the population mean. (You were given a value of the population mean in the previous question, but you do n_ot use that value here. You could use it, and you will get the correct answer, but I recommend you answer the question without using it, because on the exam, you might not be given a value.) Write down the probability statement you would like to evaluate. When you convert that probability statement into an equivalent one about a random variable for which we can look up cumulative probabilities, the population mean will cancel out