You would like to construct a 95% confidence interval to estimate the population mean price of milk (per gallon) in your city. You select a random prices from different stores. The sample has a mean of 3.66 dollars and a standard deviation of 0.20 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 17, 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 with a known standard deviation of 0.27. The sample has size 105, and it is from a non-normally distributed population. Z O O t X O Could use either Z or t Unclear O O
You would like to construct a 95% confidence interval to estimate the population mean price of milk (per gallon) in your city. You select a random prices from different stores. The sample has a mean of 3.66 dollars and a standard deviation of 0.20 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 17, 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 with a known standard deviation of 0.27. The sample has size 105, and it is from a non-normally distributed population. Z O O t X O Could use either Z or t Unclear O O
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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Transcribed Image Text:You would like to construct a 95% confidence interval to estimate the population mean price of milk (per gallon) in your city. You select a random sample of
prices from different stores. The sample has a mean of 3.66 dollars and a standard deviation of 0.20 dollars.
(a) What is the best point estimate, based on the sample, to use for the population mean?
dollars
Sampling scenario
(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.)
The sample has size 17, 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 with a known standard deviation of 0.27.
The sample has size 105, and it is from a non-normally distributed
population.
N
O
X
t
3
Could use
either Z or t
Unclear
X
3
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