Does your confidence interval capture 15 pounds? Answer this question in one sentence.If there are 1,000 students completing this assignment, approximately how many of these students will calculate a confidence interval that captures the value of 15? Explain your answer in one or two sentences. **One Sample T Confidence Interval:**- **μ:** Mean of variable**95% Confidence Interval Results:**| Variable | Sample Mean | Std. Err. | DF | L. Limit | U. Limit ||------------------|-------------|------------|----|----------|----------|| Sample (Weight) | 14.35375 | 0.69611918 | 7 | 12.70769 | 15.99981 |**Explanation:**This table represents the results of a one sample T confidence interval analysis for the weight of a sample. The objective is to estimate the mean weight (μ) of a population based on the sample data.- **Sample Mean:** The average weight of the sample, calculated to be 14.35375.- **Std. Err. (Standard Error):** The standard deviation of the sample mean, noted as 0.69611918, reflects the sampling variability.- **DF (Degrees of Freedom):** The number of independent values, indicated as 7, used in the calculation of the confidence interval.- **L. Limit (Lower Limit):** The lower bound of the confidence interval is 12.70769.- **U. Limit (Upper Limit):** The upper bound of the confidence interval is 15.99981.This interval suggests that we are 95% confident that the true mean weight of the population lies between 12.70769 and 15.99981.

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Answered: Does your confidence interval capture…

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Does your confidence interval capture 15 pounds? Answer this question in one sentence.
If there are 1,000 students completing this assignment, approximately how many of these students will calculate a confidence interval that captures the value of 15? Explain your answer in one or two sentences.