1a) A sample of size 39 will be drawn from a population with mean 23 and standard deviation 10. Find the probability that the mean will be greater than 25. b) The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard deviation of 32. A pollster draws a sample of 38 people to interview. What is the probability that the sample mean income is less than 42 (thousands of dollars)? c) Use the normal approximation to the binomial to find that probability for the specific value of X. n = 30, p = 0.7, X = 20. Please answer all parts of the question, 1a to 1 c. Thanks.

1a) A sample of size 39 will be drawn from a population with mean 23 and standard deviation 10. Find the probability that the mean will be greater than 25. b) The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard deviation of 32. A pollster draws a sample of 38 people to interview. What is the probability that the sample mean income is less than 42 (thousands of dollars)? c) Use the normal approximation to the binomial to find that probability for the specific value of X. n = 30, p = 0.7, X = 20. Please answer all parts of the question, 1a to 1 c. Thanks.

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Description: 1a) A sample of size 39 will be drawn from a population with mean 23 and standard deviation 10. Find the probability that the mean will be greater than 25.b) The mean annual income for people in a certain city (in thousands of dollars) is 40, with a

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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1a) A sample of size 39 will be drawn from a population with mean 23 and standard deviation 10. Find the probability that the mean will be greater than 25.

b) The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard deviation of 32. A pollster draws a sample of 38 people to interview. What is the probability that the sample mean income is less than 42 (thousands of dollars)?

c) Use the normal approximation to the binomial to find that probability for the specific value of X.
n = 30, p = 0.7, X = 20.

Please answer all parts of the question, 1a to 1 c. Thanks.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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