(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 90% 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 13, and it is from a normally distributed population with a known standard deviation of 7848. The sample has size 19, and it is from a normally distributed population with an unknown standard deviation. The sample has size 110, and it is from a non-normally distributed population. Could use Z t Unclear either Z or t О О о о О о о о о ค You would like to construct a 90% 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 40,710.5 dollars with a standard deviation of 7560.1 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? dollars

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value
for the 90% 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 13, and it is from a normally distributed
population with a known standard deviation of 7848.
The sample has size 19, and it is from a normally distributed
population with an unknown standard deviation.
The sample has size 110, and it is from a non-normally distributed
population.
Could use
Z
t
Unclear
either Z or t
О
О
о
о
О
о
о
о
о
Transcribed Image Text:(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 90% 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 13, and it is from a normally distributed population with a known standard deviation of 7848. The sample has size 19, and it is from a normally distributed population with an unknown standard deviation. The sample has size 110, and it is from a non-normally distributed population. Could use Z t Unclear either Z or t О О о о О о о о о
ค
You would like to construct a 90% 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 40,710.5 dollars with a standard deviation of 7560.1 dollars.
(a) What is the best point estimate, based on the sample, to use for the population mean?
dollars
Transcribed Image Text:ค You would like to construct a 90% 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 40,710.5 dollars with a standard deviation of 7560.1 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? dollars
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