Answered: Suppose 20 Pennsylvania high school…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Suppose 20 Pennsylvania high school cross-country runners participated in a 5 K race. The mean finish time was 1400 seconds (23 minutes, `20 seconds) with a standard deviation of 60 seconds. Assuming the 20 race times are representative of times for all experienced 5 K runners in this age group and 5 K race times are approximately normally distributed, find the LOWER bound of a 90% confidence interval for the 5 K race times for Pennsylvania high school cross-country runners.

For your answer, round to whole seconds, (i.e. 1234), and only the lower bound is requested, (not the entire lower and upper interval).

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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