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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…
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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 – Clearly Explained with …
Oct 8, 2020 · One sample T-Test tests if the mean of a given sample is statistically different from a known value (a hypothesized population mean). If …
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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.
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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 - 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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One Sample T Test: SPSS, By Hand, Step by Step
One sample t test compares the mean of your sample data to a known value. How to run it, step by step. How to calculate a t score. SPSS.
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One Sample T Test: 3 Example Problems (Humans)?
Oct 28, 2023 · The following examples show how to perform the three types of one sample t-tests: Two-tailed one sample t-test; Right-tailed one sample t-test; Left-tailed one sample t-test; Let’s jump in! Example 1: Two-Tailed One …
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What is the one-sample t-test? The one-sample t-test is a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value. When can I …
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Mar 18, 2025 · 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: Formula & Examples - Data Analytics
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 …
Hypothesis testing allows us to test a theory or hunch or educated guess about population parameter. We compare the theoretical population mean to a sample mean and develop the …
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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In our enhanced one-sample t-test guide, we: (a) show you how to detect outliers using SPSS Statistics; and (b) discuss some of the options you have in order to deal with outliers. …
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5 days ago · Paired sample t test I Paired sample t test is typically used in “before-after” studies I Examples: drug e ↵ ect measurement (measurements before and after drug application); …
sample variance. Assuming that the null hypothesis is true, we just need to compare T0 to the quantiles of a tn 1 distribution to calcu. ate the p-value. For the directional (one-sided) tests, m, …
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Nov 6, 2023 · One sample t-test is a type of t-test that is used in machine learning for hypothesis testing. This article covers one sample t-test with examples and how we can implement this in …
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Apr 6, 2023 · There are three types of t-tests: the one-sample t-test, the two-sample t-test, and the paired samples t-test. The one-sample t-test is used to test whether a sample mean is …
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For two-sample t-tests, we must have independent samples. If the samples are not independent, then a paired t-test may be appropriate. Types of t-tests. There are three t-tests to compare …
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