Question: Name:________________________________ Chapter 7 Problem Solving Worksheet 1. The following diagram has three normal curves. One curve represents the distribution of a population; one curve represents

Name:________________________________ Chapter 7 Problem Solving Worksheet 1. The following diagram has three normal curves. One curve represents the distribution of a population; one curve represents the distribution of the samples means from the population for samples of size 5; and the last curve represents the distribution of the sample means from the population for samples of size 20. Which curve: A,B, or C represents the distribution of the sample means for the larger sample size of 20? 2. According to research data based on weather, age, and course, the population for time that it takes a person to run a 5K is normally distributed with a mean of 35.0 minutes and a standard deviation of 3.16 minutes. a) What is the mean and standard deviation of the sampling distribution of the sample mean for samples of size 16? b) If a sample of 16 individuals is chosen at random, what is the probability that the sampling error between the sample mean ( x ) and the population mean ( ) is less than one minute

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