Suppose a sample of 50 MP3 players is drawn randomly from a population of MP3 players and the weight, x, of each MP3 player is recorded. Prior experience has shown that the weight of a single MP3 player has a mean of 6 ounces and a standard deviation of 2.5 ounces. a) Describe the shape of the sample mean : b) What is the mean and standard deviation of the sampling distribution of ? c) What is the probability that the sample has a mean weight of less than 5 ounces?

Suppose a sample of 50 MP3 players is drawn randomly from a population of MP3 players and the weight, x, of each MP3 player is recorded. Prior experience has shown that the weight of a single MP3 player has a mean of 6 ounces and a standard deviation of 2.5 ounces. a) Describe the shape of the sample mean : b) What is the mean and standard deviation of the sampling distribution of ? c) What is the probability that the sample has a mean weight of less than 5 ounces?

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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a) Describe the shape of the sample mean :

b) What is the mean and standard deviation of the sampling distribution of ?

c) What is the probability that the sample has a mean weight of less than 5 ounces?

d) How would the sampling distribution of ?̅ change if the sample size, n , were increased from 50 to 100?

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