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(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.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 14E
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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.
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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