You would like to construct a 95% confidence interval to estimate today's population mean temperature, so you make a series of measurements (a random sample) throughout the day. The mean of these measurements is 59 degrees Fahrenheit, and their standard deviation is 4 degrees Fahrenheit. (a) What is the best point estimate, based on the sample, to use for the population mean? O degrees (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.) Could use
You would like to construct a 95% confidence interval to estimate today's population mean temperature, so you make a series of measurements (a random sample) throughout the day. The mean of these measurements is 59 degrees Fahrenheit, and their standard deviation is 4 degrees Fahrenheit. (a) What is the best point estimate, based on the sample, to use for the population mean? O degrees (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.) Could use
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![You would like to construct a 95% confidence interval to estimate today's population mean temperature, so you make a series of measurements (a random sample) throughout the day. The mean of these measurements is 59 degrees Fahrenheit, and their standard deviation is 4 degrees Fahrenheit.
(a) What is the best point estimate, based on the sample, to use for the population mean?
☐ degrees
(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 | \( Z \) | \( t \) | Could use either \( Z \) or \( t \) | Unclear |
|-----------------------------------------------------------------------------------|---------|---------|------------------------------------|---------|
| The sample has size 100, and it is from a non-normally distributed population. | ☐ | ☐ | ☐ | ☐ |
| The sample has size 16, 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 3.9. | ☐ | ☐ | ☐ | ☐ |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febcf9de3-24cc-40b0-a023-15a9096e4963%2F3a395256-c136-46bf-9426-68cacba09ea1%2Fczbmydi_processed.png&w=3840&q=75)
Transcribed Image Text:You would like to construct a 95% confidence interval to estimate today's population mean temperature, so you make a series of measurements (a random sample) throughout the day. The mean of these measurements is 59 degrees Fahrenheit, and their standard deviation is 4 degrees Fahrenheit.
(a) What is the best point estimate, based on the sample, to use for the population mean?
☐ degrees
(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 | \( Z \) | \( t \) | Could use either \( Z \) or \( t \) | Unclear |
|-----------------------------------------------------------------------------------|---------|---------|------------------------------------|---------|
| The sample has size 100, and it is from a non-normally distributed population. | ☐ | ☐ | ☐ | ☐ |
| The sample has size 16, 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 3.9. | ☐ | ☐ | ☐ | ☐ |
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