Because under the null hypothesis of no difference, the appropriate test statistic can be shown to have a t-distribution with the relevant degrees of freedom. So you use the t-test to see how well the observed test statistic fits in with a t-distribution.
The null hypothesis of the independent samples t-test is verbalized by either accepting or rejecting it due to the value of the t-test. If the value is less than 0.05 it is accepted and greater than 0.05 is rejecting it.
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No, don't use a single t-test to compare the means of 3 or more groups. Use ANOVA.
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no t test is similar to z test because t test ie used for unknown observation and z is for the medicne
The Independent Samples T Test compares the mean scores of two groups on a given variable.
normal, SRS, independent normal, SRS, independent
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paired t-test is more powerful because it utilizes information
You use the t-test when the population standard deviation is not known and estimated by the sample standard deviation. (1) To test hypothesis about the population mean (2) To test whether the means of two independent samples are different. (3) To test whether the means of two dependent samples are different. (4) To construct a confidence interval for the population mean.
independent sample t test
The two-sample independent t-test has several limitations, including the assumption of normality, which may not hold true for smaller sample sizes or non-normally distributed data. It also assumes homogeneity of variances, meaning that the variances of the two groups being compared should be equal; violations can affect the test's validity. Additionally, the test is sensitive to outliers, which can skew results, and it is only applicable for comparing means between two groups, limiting its use in more complex experimental designs.
When the sample size is greater than 30
When the sample size is greater than 30
The t-test is a statistical method used to determine if there is a significant difference between the means of two groups. It is commonly applied in hypothesis testing to compare sample data against a population or between two sample groups. The t-test accounts for variability and sample size, allowing researchers to infer whether observed differences are likely due to chance. There are different types of t-tests, including independent, paired, and one-sample t-tests, each suited for specific study designs.
Yes, it is. The one sample t-test is a study of the parameter population-mean. You can also use the t-test to test for the difference between two population means (both parameters).
The t-test value is calculated using the sample mean, the population mean, and the sample standard deviation (which is derived from the sample variance). Specifically, the formula for the t-test statistic incorporates the sample variance in the denominator, adjusting for sample size through the standard error. A smaller sample variance typically results in a larger t-test value, indicating a greater difference between the sample mean and the population mean relative to the variability in the sample data. Thus, the relationship is that the t-test value reflects how the sample variance influences the significance of the observed differences.