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When do we use t test?When n is greater than or equal to 30when nominal data is givenWhen ordinal data is givenWhen n < 30

Question

When do we use t test?When n is greater than or equal to 30when nominal data is givenWhen ordinal data is givenWhen n < 30

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Solution

We use a t-test in statistics to compare the means of two groups and determine if there is a significant difference between them. This test is most appropriate when:

  1. The sample size (n) is less than 30. If n is greater than or equal to 30, a z-test might be more appropriate due to the Central Limit Theorem.

  2. The data is interval or ratio scale (continuous). T-tests are not appropriate for nominal (categorical) data. For nominal data, chi-square tests are often used.

  3. The data can also be ordinal as long as it can be assumed that the intervals between the scale values are equal. However, non-parametric tests are often used for ordinal data as they do not require this assumption.

  4. The data follows a normal distribution. If the data does not follow a normal distribution, non-parametric tests like the Mann-Whitney U test might be more appropriate.

  5. The variances of the two groups being compared are equal. If the variances are not equal, a different version of the t-test called Welch's t-test can be used.

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Similar Questions

When do we use z test?when nominal data is givenWhen n is greater than or equal to 30When ordinal data is givenWhen n < 30

Which of the following types of data is suitable for a t-test?*NominalOrdinalIntervalCategoricalNone of the above

Select Any One Of the Following Options: Which statistics would you like to use when there is nominal data?z testpaired comparison of t test?² (chi-square)t test

When is a t-test preferred over a z-test in statistical analysis?*1 pointWhen the sample size is smallWhen dealing with categorical dataWhen comparing three or more groupsWhen the population standard deviation is known

Explain the difference between nominal and ordinal data with examples.

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