(a) What is the best point estimate, based on the sample, to use for the population mean? ? O ollars (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and refers to at distribution.) Could use Sampling scenario Undear either Z or t ? The sample has size 17, and it is from a normally distributed population with a known standard deviation of 0.26. The sample has size 80, and it is from a non-normally distributed population. The sample has size 13, and it is from a normally distributed population with an unknown standard deviation.
(a) What is the best point estimate, based on the sample, to use for the population mean? ? O ollars (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and refers to at distribution.) Could use Sampling scenario Undear either Z or t ? The sample has size 17, and it is from a normally distributed population with a known standard deviation of 0.26. The sample has size 80, and it is from a non-normally distributed population. The sample has size 13, and it is from a normally distributed population with an unknown standard deviation.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Transcription of Educational Content:**
**Context:**
You are aiming to construct a 99% confidence interval to estimate the population mean price of milk (per gallon) in your city. A random sample of prices from different stores has been selected, with a mean of $3.66 and a standard deviation of $0.20.
**Questions:**
**(a)** What is the best point estimate, based on the sample, to use for the population mean?
\[ \_\_\_\_\_ \text{ dollars} \]
**(b)** For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% confidence interval for the population mean.
*(In the table, \( Z \) refers to a standard normal distribution, and \( t \) refers to a \( t \) distribution.)*
**Table:**
| Sampling Scenario | \( Z \) | \( t \) | Could Use Either \( Z \) or \( t \) | Unclear |
|-----------------------------------------------------------------------------------|---------|---------|-------------------------------------|---------|
| The sample has size 17, and it is from a normally distributed population with a known standard deviation of 0.26. | \( \bigcirc \) | | | |
| The sample has size 80, and it is from a non-normally distributed population. | | \( \bigcirc \) | | |
| The sample has size 13, and it is from a normally distributed population with an unknown standard deviation. | | \( \bigcirc \) | | |
In this table, for each scenario, a circle indicates which statistical distribution is appropriate for use based on the characteristics of the sample and the population from which it is drawn.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febcf9de3-24cc-40b0-a023-15a9096e4963%2Fe3f0306e-90c3-4ac3-8a56-2f2a2ed92064%2Fsq1wxb_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription of Educational Content:**
**Context:**
You are aiming to construct a 99% confidence interval to estimate the population mean price of milk (per gallon) in your city. A random sample of prices from different stores has been selected, with a mean of $3.66 and a standard deviation of $0.20.
**Questions:**
**(a)** What is the best point estimate, based on the sample, to use for the population mean?
\[ \_\_\_\_\_ \text{ dollars} \]
**(b)** For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% confidence interval for the population mean.
*(In the table, \( Z \) refers to a standard normal distribution, and \( t \) refers to a \( t \) distribution.)*
**Table:**
| Sampling Scenario | \( Z \) | \( t \) | Could Use Either \( Z \) or \( t \) | Unclear |
|-----------------------------------------------------------------------------------|---------|---------|-------------------------------------|---------|
| The sample has size 17, and it is from a normally distributed population with a known standard deviation of 0.26. | \( \bigcirc \) | | | |
| The sample has size 80, and it is from a non-normally distributed population. | | \( \bigcirc \) | | |
| The sample has size 13, and it is from a normally distributed population with an unknown standard deviation. | | \( \bigcirc \) | | |
In this table, for each scenario, a circle indicates which statistical distribution is appropriate for use based on the characteristics of the sample and the population from which it is drawn.
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