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A one-sample t-test is used to determine whether the mean of a population is equal to a specific value. Here are three types of one-sample t-tests with example problems:
Example 1: Two-Tailed One Sample T-Test
Suppose we want to know whether the mean weight of a certain species of turtle is equal to 310 pounds. We perform a one-sample t-test at a significance level of α = 0.05.
Gather the sample data: Sample size (n) = 40 Sample mean weight (x̅) = 300 Sample standard deviation (s) = 18.5
Define the hypotheses: Null hypothesis (H0): μ = 310 Alternative hypothesis (H1): μ ≠ 310
Calculate the test statistic (t): t = (x̅ - μ) / (s / √n) = (300 - 310) / (18.5 / √40) = -3.4187
Calculate the p-value: Using a T Score to P Value Calculator, the p-value associated with t = -3.4187 and degrees of freedom (df) = 39 is 0.00149.
Draw a conclusion: Since the p-value is less than α = 0.05, we reject the null hypothesis. We have sufficient evidence to say that the mean weight of this species of turtle is not equal to 310 pounds^1^.
One Sample T Test: 3 Example Problems - Statology
Jul 17, 2023 · Learn how to perform one sample t-tests for two-tailed, right-tailed and left-tailed hypotheses with examples and steps. See how to calculate test statistic, p-value and draw conclusions for each problem.
See results only from statology.orgOne Sample T-test
A one sample t-test is used to test whether or not the mean of a population is equal to some value. This tutorial explains the following: The motivatio…
One Sample T Test – Clearly Explained with Examples | ML+
One sample T-Test tests if the mean of a given sample is statistically different from a known value (a hypothesized population mean). If it is found from the test that the means are statistically …
One Sample T Test: Definition, Using & Example
Learn how to use a one sample t test to evaluate a population mean using a single sample. See an example of testing whether a soda can company underfills its cans with a hypothesized value of 12 ounces.
One Sample T Test (Easily Explained w/ 5
Oct 9, 2020 · Learn how to conduct a one sample t-test to determine whether a sample mean is statistically different from a population mean. See 5 examples with step-by-step solutions, video tutorials and practice problems.
One Sample t-test: Definition, Formula, and Example
Apr 22, 2020 · A one sample t-test is used to test whether or not the mean of a population is equal to some value. This tutorial explains the following: The …
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One-Sample T-Test - Quick Tutorial & Example
Learn how to perform a one-sample t-test to compare a sample mean with a hypothesized population mean. See the steps, assumptions, formulas, effect size, confidence intervals and SPSS output for an IQ test example.
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Dec 16, 2023 · One-sample T-test Formula. The following is one-sample t-test formula / equation of t-statistics: T = (X̄ – μ) / S/√n. Where, X̄ is the sample mean, μ is the hypothesized population mean, S is the standard deviation of the …
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One Sample T-test for Significance Testing - ML Vidhya
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One Sample T-Test Hypothesis Test By Hand
There is the one sample t-test that compares a single sample to a known population value (this example). There is an independent samples t-test that compares two samples to each other. …
SPSS Tutorials: One Sample t Test - Kent State University
5 days ago · Written and illustrated tutorials for the statistical software SPSS. The One Sample t Test compares a sample mean to a hypothesized value for the population mean to determine …
One Sample T Test: 3 Example Problems (Humans)?
Oct 28, 2023 · In statistics, a is used to test whether or not the mean of a is equal to some value. The following examples show how to perform the three types of one sample t-tests: Let’s jump …
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One sample T test - YouTube
📢 "What is a One-Sample t-Test? It’s a statistical test used to compare a sample mean to a known population mean to see if there's a significant difference....
How to Perform One Sample t-Test in R with Practical Examples
R makes it straightforward to perform a one-sample t-test using the t.test() function. Here’s the syntax: Where: x is the sample data. mu is the hypothesized population mean. Let’s walk …
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Bayesian One-sided t-tests| Real Statistics Using Excel
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SAS Help Center: One-Sample t Test
documentation.sas.com
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