Given a population with a mean of m = 100 and a variance of s2 = 81, the central limit theorem applies when the sample size is n Ú 25. A random sample of size n = 25 is obtained.See photo 6.5 Given a population with a mean of µ = 100 and avariance of o² = 81, the central limit theorem applieswhen the sample size is n ≥ 25. A random sample ofsize n = 25 is obtained.262a. What are the mean and variance of the samplingdistribution for the sample means?b. What is the probability that x > 102?Chapter 6 Distributions of Sample Statisticsb. What is the probability that x > 109?c. What is the probability that 96 ≤ x ≤ 110?d. What is the probability that x ≤ 107?

given data μ = 100σ2 = 81 ∴σ = 9n = 25use central limit theorom that sampling distributin will…

Given a population with a mean of µ = 100 and variance of o² = 81, the central limit theorem applie when the sample size is n ≥ 25. A random sample o size n = 25 is obtained. a. What are the mean and variance of the sampling distribution for the sample means? b. What is the probability that x > 102? Chapter 6 Distributions of Sample Statistics b. What is the probability that x > 109? c. What is the probability that 96 ≤ x ≤ 110? d. What is the probability that x ≤ 107?

Given a population with a mean of µ = 100 and variance of o² = 81, the central limit theorem applie when the sample size is n ≥ 25. A random sample o size n = 25 is obtained. a. What are the mean and variance of the sampling distribution for the sample means? b. What is the probability that x > 102? Chapter 6 Distributions of Sample Statistics b. What is the probability that x > 109? c. What is the probability that 96 ≤ x ≤ 110? d. What is the probability that x ≤ 107?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Given a population with a mean of m = 100 and a variance of s2 = 81, the central limit theorem applies when the sample size is n Ú 25. A random sample of size n = 25 is obtained.

See photo

6.5 Given a population with a mean of µ = 100 and a
variance of o² = 81, the central limit theorem applies
when the sample size is n ≥ 25. A random sample of
size n = 25 is obtained.
262
a. What are the mean and variance of the sampling
distribution for the sample means?
b. What is the probability that x > 102?
Chapter 6 Distributions of Sample Statistics
b. What is the probability that x > 109?
c. What is the probability that 96 ≤ x ≤ 110?
d. What is the probability that x ≤ 107?

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.

Expert Solution