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calculate two-sided t test

Question

calculate two-sided t test

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Solution

Sure, I can help with that. However, you didn't provide a specific question or data for the two-sided t-test. Here's a general step-by-step guide on how to calculate a two-sided t-test:

  1. State the hypotheses: The first step is to state the null hypothesis and an alternative hypothesis.

    Null hypothesis: There is no significant difference between the means of the two groups.

    Alternative hypothesis: There is a significant difference between the means of the two groups.

  2. Formulate an analysis plan: For this analysis, the significance level is defined, the sample data is collected and the t-test is chosen.

  3. Analyze sample data: Using sample data, calculate the pooled sample variance and the standard error. Using the standard error and the mean difference, calculate the t-score.

  4. Interpret the results: If the t-score is greater than the critical value, we reject the null hypothesis.

Here's the formula for the t-score:

t = [ x̄1 - x̄2 ] / sqrt [ (s^2/n1) + (s^2/n2) ]

Where:

  • x̄1 and x̄2 are the sample means
  • s^2 is the pooled sample variance
  • n1 and n2 are the sample sizes

And the formula for the pooled sample variance:

s^2 = [(n1-1)*s1^2 + (n2-1)*s2^2] / (n1+n2-2)

Where:

  • s1^2 and s2^2 are the sample variances
  • n1 and n2 are the sample sizes

Please provide your data if you need a more specific answer.

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