(a) Use SALT to summarize the data and fill in the following table, rounding values to four decimal places as needed. Variable Sample Size 860 8.841 Mean ✓ Standard Deviation 2.1718✔✔✔ (b) We need to verify the assumptions for using the one-sample t confidence interval before creating a confidence interval. First the observations in the sample must be randomly selected from the population or the sample should be selected in such a way that the sample is representative of the population. Based on what is known about how this sample was collected, the first assumption has been ✓ ✔met. Second, the sample size generally should be 30 or larger. Based on the sample size, the second assumption [has been (c) Use SALT to compute the confidence interval at the desired level to estimate the true population mean. ✔✔✔met.
(a) Use SALT to summarize the data and fill in the following table, rounding values to four decimal places as needed. Variable Sample Size 860 8.841 Mean ✓ Standard Deviation 2.1718✔✔✔ (b) We need to verify the assumptions for using the one-sample t confidence interval before creating a confidence interval. First the observations in the sample must be randomly selected from the population or the sample should be selected in such a way that the sample is representative of the population. Based on what is known about how this sample was collected, the first assumption has been ✓ ✔met. Second, the sample size generally should be 30 or larger. Based on the sample size, the second assumption [has been (c) Use SALT to compute the confidence interval at the desired level to estimate the true population mean. ✔✔✔met.
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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![**Sample Size, Mean, and Standard Deviation Analysis**
To analyze the given data, we summarize it in the following table, rounding values to four decimal places as needed.
| Variable | Sample Size | Mean | Standard Deviation |
|-------------|--------------|---------|---------------------|
| | 860 | 8.8410 | 2.1718 |
**Verification of Assumptions for One-Sample t-Confidence Interval**
Before creating a confidence interval, the following assumptions must be met:
1. The observations in the sample must be randomly selected from the population or the sample should be selected in such a way that it is representative of the population. Based on what is known about how this sample was collected, the first assumption **has been met**.
2. The sample size generally should be 30 or larger. Based on the sample size, the second assumption **has been met**.
**Computation of Confidence Interval using SALT**
To estimate the true population mean at the desired confidence level, enter the required values as detailed below and round them to three decimal places if needed.
| Standard Error | 0.074059 |
|--------------------|----------|
| Degrees of Freedom | 859 |
| Lower Limit | |
| Upper Limit | |
**Interpretation of Confidence Interval**
To interpret the confidence interval, let's assume we have 90% confidence:
- You can be **90%** confident that the true population mean **Coho salmon weight, in pounds, anglers might expect** is within the computed interval.
- The method used to construct this interval estimate for the population mean is successful in capturing the actual population mean about **90%** of the time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F308db737-7862-446c-973d-78bf4e1d9584%2Fd95c17d4-50ef-4b69-a5c6-8310a73a40cf%2Fs5dn6i_processed.png&w=3840&q=75)
Transcribed Image Text:**Sample Size, Mean, and Standard Deviation Analysis**
To analyze the given data, we summarize it in the following table, rounding values to four decimal places as needed.
| Variable | Sample Size | Mean | Standard Deviation |
|-------------|--------------|---------|---------------------|
| | 860 | 8.8410 | 2.1718 |
**Verification of Assumptions for One-Sample t-Confidence Interval**
Before creating a confidence interval, the following assumptions must be met:
1. The observations in the sample must be randomly selected from the population or the sample should be selected in such a way that it is representative of the population. Based on what is known about how this sample was collected, the first assumption **has been met**.
2. The sample size generally should be 30 or larger. Based on the sample size, the second assumption **has been met**.
**Computation of Confidence Interval using SALT**
To estimate the true population mean at the desired confidence level, enter the required values as detailed below and round them to three decimal places if needed.
| Standard Error | 0.074059 |
|--------------------|----------|
| Degrees of Freedom | 859 |
| Lower Limit | |
| Upper Limit | |
**Interpretation of Confidence Interval**
To interpret the confidence interval, let's assume we have 90% confidence:
- You can be **90%** confident that the true population mean **Coho salmon weight, in pounds, anglers might expect** is within the computed interval.
- The method used to construct this interval estimate for the population mean is successful in capturing the actual population mean about **90%** of the time.
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