Hypotheses Testing and Two-Sample T Test
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Questions and Answers

What is the appropriate distribution to represent the sampling distribution of differences when both samples are large?

  • F-distribution
  • Chi-square distribution
  • z-distribution (correct)
  • t-distribution

In a paired sample t-test, what is used to calculate the test statistic?

  • Pooled standard error
  • Standard deviation of the differences (correct)
  • Pooled variance
  • Sample size

What is the null hypothesis typically set as in a paired sample t-test?

  • The means of the two samples are equal (correct)
  • The standard deviations of the two samples are equal
  • The variances of the two samples are equal
  • Both samples are equal

What value is compared to the critical t-value to make a decision in hypothesis testing?

<p>Test statistic (C)</p> Signup and view all the answers

Which distribution is used when one of the two samples in an independent t-test is small?

<p>t-distribution (B)</p> Signup and view all the answers

In a two-sample independent t-test, what assumption is made about the samples?

<p>The samples are independent of each other (B)</p> Signup and view all the answers

What does rejecting the null hypothesis in a two-sample t-test indicate?

<p>There is a significant difference between the sample means (C)</p> Signup and view all the answers

What parameter is calculated to determine if there is a statistically significant difference between two sample means in an independent t-test?

<p>?-statistic (D)</p> Signup and view all the answers

How do you make a decision regarding the null hypothesis in a paired sample t-test?

<p>Compare test statistic with critical value (B)</p> Signup and view all the answers

What does a high t-value signify in hypothesis testing?

<p>Statistically significant difference (C)</p> Signup and view all the answers

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