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You would like to construct a 95% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a random sample of such incomes and compute the mean of the sample as 40,495 dollars with a standard deviation of 7782 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? dollars (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 95% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a t distribution.) Sampling scenario The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 7613. The sample has size 19, and it is from a population with a distribution about which we know very little. z t O O Could use either Z or t Unclear X X 5 S

You would like to construct a 95% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a random sample of such incomes and compute the mean of the sample as 40,495 dollars with a standard deviation of 7782 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? dollars (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 95% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a t distribution.) Sampling scenario The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 7613. The sample has size 19, and it is from a population with a distribution about which we know very little. z t O O Could use either Z or t Unclear X X 5 S

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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You would like to construct a 95% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a random sample of such incomes and compute the mean of the sample as 40,495 dollars with a standard deviation of 7782 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? dollars (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 95% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a t distribution.) Sampling scenario The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 7613. The sample has size 19, and it is from a population with a distribution about which we know very little. z t O O Could use either Z or t Unclear O O X X Ś
Transcribed Image Text:You would like to construct a 95% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a random sample of such incomes and compute the mean of the sample as 40,495 dollars with a standard deviation of 7782 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? dollars (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 95% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a t distribution.) Sampling scenario The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 7613. The sample has size 19, and it is from a population with a distribution about which we know very little. z t O O Could use either Z or t Unclear O O X X Ś
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