An environmental scientist wants to use a 95% confidence interval to estimate the mean number of hours per day her solar panel receives direct sunlight. She observed the panel for 48 randomly selected days and found that the solar panel received an average of 7.1 hours of sunlight per day and the standard deviation was 2.3 hours. Round your answers to two decimal places. A. To compute the confidence interval, use the [Select] distribution. B. With 95% confidence the population mean number of hours of sunlight the solar panel receives per day for all days is between [Select] and [Select] C. If many groups of 48 randomly selected days were observed, then a different confidence interval would be produced from each group. About [Select] percent of these confidence intervals will contain the true population mean number of hours of sunlight per day that the solar panel receives and about [Select] percent will not contain the true population mean number of hours of sunlight that the solar panel receives.
An environmental scientist wants to use a 95% confidence interval to estimate the mean number of hours per day her solar panel receives direct sunlight. She observed the panel for 48 randomly selected days and found that the solar panel received an average of 7.1 hours of sunlight per day and the standard deviation was 2.3 hours. Round your answers to two decimal places. A. To compute the confidence interval, use the [Select] distribution. B. With 95% confidence the population mean number of hours of sunlight the solar panel receives per day for all days is between [Select] and [Select] C. If many groups of 48 randomly selected days were observed, then a different confidence interval would be produced from each group. About [Select] percent of these confidence intervals will contain the true population mean number of hours of sunlight per day that the solar panel receives and about [Select] percent will not contain the true population mean number of hours of sunlight that the solar panel receives.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![### Estimating the Mean Number of Sunlight Hours Using a 95% Confidence Interval
An environmental scientist seeks to estimate the mean number of hours of direct sunlight her solar panel receives per day with a 95% confidence interval. The scientist observed the solar panel over a span of 48 randomly selected days, recording an average of 7.1 hours of sunlight each day. The standard deviation for the observed data was 2.3 hours.
The following steps explain how to determine the confidence interval for this data. Round your answers to two decimal places.
#### A. Determining the Correct Distribution
To compute the confidence interval, use the \([ Select ]\) distribution.
#### B. Calculating the Confidence Interval
With 95% confidence, the population mean number of hours of sunlight the solar panel receives per day is between:
\[ Select \] and \[ Select \].
#### C. Understanding Confidence Intervals
When observing many groups of 48 randomly selected days, each group will produce a different confidence interval. About \[ Select \] percent of these confidence intervals will contain the true population mean number of hours of sunlight per day that the solar panel receives, and about \[ Select \] percent will not contain the true population mean number of hours of sunlight that the solar panel receives.
Make sure to fill in the appropriate values and select the correct distributions and confidence percentages when calculating and interpreting the confidence interval data. This understanding is critical in ensuring accurate and reliable results in statistical analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1a73d04-4829-40e4-8e78-0a30aa84e71e%2F2b6685dd-4f99-4c98-a529-95d3cb5dce9a%2F9kvq9u_processed.png&w=3840&q=75)
Transcribed Image Text:### Estimating the Mean Number of Sunlight Hours Using a 95% Confidence Interval
An environmental scientist seeks to estimate the mean number of hours of direct sunlight her solar panel receives per day with a 95% confidence interval. The scientist observed the solar panel over a span of 48 randomly selected days, recording an average of 7.1 hours of sunlight each day. The standard deviation for the observed data was 2.3 hours.
The following steps explain how to determine the confidence interval for this data. Round your answers to two decimal places.
#### A. Determining the Correct Distribution
To compute the confidence interval, use the \([ Select ]\) distribution.
#### B. Calculating the Confidence Interval
With 95% confidence, the population mean number of hours of sunlight the solar panel receives per day is between:
\[ Select \] and \[ Select \].
#### C. Understanding Confidence Intervals
When observing many groups of 48 randomly selected days, each group will produce a different confidence interval. About \[ Select \] percent of these confidence intervals will contain the true population mean number of hours of sunlight per day that the solar panel receives, and about \[ Select \] percent will not contain the true population mean number of hours of sunlight that the solar panel receives.
Make sure to fill in the appropriate values and select the correct distributions and confidence percentages when calculating and interpreting the confidence interval data. This understanding is critical in ensuring accurate and reliable results in statistical analysis.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman