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A point estimate for the sample mean is: (select one) s, Sample standard deviation Oz, Z- score Ox, Sample mean O ME , Margin of error

A point estimate for the sample mean is: (select one) s, Sample standard deviation Oz, Z- score Ox, Sample mean O ME , Margin of error

MATLAB: An Introduction with Applications
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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**Quiz Question: Point Estimate for Sample Mean** **A point estimate for the sample mean is:** *(select one)* - [ ] **s**, Sample standard deviation - [ ] **z**, Z-score - [ ] **x̄**, Sample mean - [ ] **ME**, Margin of error *(Option "s, Sample standard deviation" is currently selected.)* **Explanation of Options:** - **s, Sample standard deviation:** This option represents the sample standard deviation, a measure of the amount of variation or dispersion in a sample. The standard deviation quantifies how much the values in a sample deviate from the sample mean. - **z, Z-score:** This option refers to the Z-score, which indicates how many standard deviations a data point is from the mean of a distribution. It is used in the context of standardizing scores on different scales. - **x̄, Sample mean:** This is the correct answer for the point estimate of the sample mean. The sample mean is the average of all the data points in the sample and acts as an unbiased estimator of the population mean. - **ME, Margin of error:** The margin of error represents the amount of random sampling error in a survey's results. It gives an interval estimate around the sample mean within which the true population mean is expected to lie, with a certain level of confidence. The point estimate for the sample mean should be the sample mean (x̄), hence, the correct option to select would be **x̄, Sample mean**.
Transcribed Image Text:**Quiz Question: Point Estimate for Sample Mean** **A point estimate for the sample mean is:** *(select one)* - [ ] **s**, Sample standard deviation - [ ] **z**, Z-score - [ ] **x̄**, Sample mean - [ ] **ME**, Margin of error *(Option "s, Sample standard deviation" is currently selected.)* **Explanation of Options:** - **s, Sample standard deviation:** This option represents the sample standard deviation, a measure of the amount of variation or dispersion in a sample. The standard deviation quantifies how much the values in a sample deviate from the sample mean. - **z, Z-score:** This option refers to the Z-score, which indicates how many standard deviations a data point is from the mean of a distribution. It is used in the context of standardizing scores on different scales. - **x̄, Sample mean:** This is the correct answer for the point estimate of the sample mean. The sample mean is the average of all the data points in the sample and acts as an unbiased estimator of the population mean. - **ME, Margin of error:** The margin of error represents the amount of random sampling error in a survey's results. It gives an interval estimate around the sample mean within which the true population mean is expected to lie, with a certain level of confidence. The point estimate for the sample mean should be the sample mean (x̄), hence, the correct option to select would be **x̄, Sample mean**.
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Introduction:

A point estimate of a population parameter is a single value based on the sample observations that is considered to be the best guess or best estimate of the usually unknown population parameter. It is a statistic value that may be suitable to be used to estimate the parameter.

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