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When the F. Test refutes the Null hypothesis to evaluate the mean differences we may use:

When the F. Test refutes the Null hypothesis to evaluate the mean differences we may use: Correct Answer T. Test

F. Test:

  • The F-test is designed to test if two population variances are equal. It does this by comparing the ratio of two variances. So, if the variances are equal, the ratio of the variances will be 1.
  • If the null hypothesis is true, then the F test-statistic given above can be simplified (dramatically). This ratio of sample variances will be the test statistic used. If the null hypothesis is false, then we will reject the null hypothesis that the ratio was equal to 1 and our assumption that they were equal. And T-test can be used.

T-test:

  • A t-test is a type of inferential statistic used to determine if there is a significant difference between the means of two groups, which may be related to certain features.
  • It is mostly used when the data sets, like the data set recorded as the outcome from flipping a coin 100 times, would follow a normal distribution and may have unknown variances.
  • A t-test is used as a hypothesis testing tool, which allows testing of an assumption applicable to a population.

We can conclude that When the F. Test refutes the Null hypothesis to evaluate the mean differences we may use t-test.

Related Questions

A college/university teacher plans to test his/her substantive research hypothesis in a major project. Which of the following statements are considered relevant in this regard? A. Substantive research hypothesis has to clearly specify the relationship among variables B. Research hypothesis may be directed at finding out differential effects or relationships C. Null hypothesis should be formulated beforehend D. There is direct support available for testing the substantive research hypothesis E. The final decision on the research hypothesis may be reached indirectly by deciding the fate of the Null hypothesis Choose the correct answer from the options given below:
When a particular ‘statistics’ in a research situation is evidently declared to be significant, which of the following decisions will be considered tenable ? A. Null hypothesis is rejected B. Alternative hypothesis is accepted C. Null hypothesis is accepted D. Alternative hypothesis is rejected E. Null hypothesis along with the alternate hypothesis are accepted. Choose the correct answer from the options given below:
A research scholar finds through statistical analysis that the value of 't' is significant. What decision is warranted on the basis of this hypothesis? A. The Null hypothesis should be rejected B. The research hypothesis should be accepted C. The null hypothesis should be accepted D. The research hypothesis should be rejected E. No decision is warranted in respect of the research hypothesis Choose the correct answer from the options given below:
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In conducting an empirical study a researcher employs a non-parametric test for data analysis and finds that the ‘statistics’ arrived at is ‘significant’ at .05 level. What decisions will be warranted thereafter? (A) Rejecting the Null hypothesis (H0) (B) Accepting the Null hypothesis (H0) (C) Accepting the alternate hypothesis (H1) (D) Keeping the decision in abeyance (E) Rejecting the alternate hypothesis (H1) Choose the correct answer from the options given below :
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Statement I When a null hypothesis is true but as per the hypothesis testing, it is rejected; it is known as Type II error in hypothesis testing.
Statement II For testing the significance of the differences among the performance of more than two sample groups when the data are non-parametric, Kruskal-Wallis (H) test is appropriate.
Consider the following statements in connection with deflection-type and null-type instruments: 1. Null-type instruments are more accurate than the deflection-type ones. 2. Null-type of instrument can be highly sensitive compared to a deflection-type instrument. 3. Under dynamic conditions, null-type instruments are less preferred to deflection-type instruments. 4. Response is faster in null-type instruments as compared to deflection-type instruments. Which of the above statements are correct?
Given below are two statements Statement I: In research, 'Null hypothesis' when rejected, offers the scope for accepting the alternative or substantive research hypothesis. Statement II: When the Null hypothesis is rejected, there will be chances for committing 'Beta' rather than 'Alpha' error. In light of the above statements, choose the most appropriate answer from the options given below
Match the items of List - II with the items of List - I and select the code of correct matching List - I List - II (a) Chi-square Test (i) Testing the significance of the differences of the mean values among more than two sample groups. (b) ANOVA (F-test) (ii) Testing the goodness of fit of a distribution (c) Z - test (iii) Testing the significance of the difference of the mean values between two large sized samples (d) t - test (iv) Testing the significance of the difference of the mean values between two small sized samples when population standard deviation is not available