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