SDS328M_HW4-2 - Biostats SDS 328M Homework 4 Part 1 Hand work(all work must be done by hand Write your answers onto one or more separate sheets of paper

# SDS328M_HW4-2 - Biostats SDS 328M Homework 4 Part 1 Hand...

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Copyright © 2016 Dept. of Statistics and Data Sciences, UT Austin Biostats SDS 328M Homework 4 Part 1 Hand work (all work must be done by hand). Write your answers onto one or more separate sheets of paper. Clearly mark each sheet with your name and your lab time. Round all answers to at least 3 decimal places and assume that α=0.05 unless otherwise noted. 1. In a study of nerve cells, researchers measured the timing of spontaneous electrical discharges in a single organism. The interspike-time intervals were approximately normally distributed with a mean of 15.28 ms and a standard deviation of 0.39 ms. Suppose you measured a random sample of n = 5 interspike-time intervals from this population. a. What is the probability that all five times in your sample are between 15.00 and 15.50 ms? (3pt) b. What is the probability that the sample mean time for your sample is between 15.00 and 15.50 ms? (3pt) c. Comparing the probabilities you calculated in parts (a) and (b), which is larger?