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1. Calculate the t-statistic:
- t = (μ1 - μ2) / √((σ1^2 / n1) + (σ2^2 / n2))
- t = (88 - 94) / √((15^2 / 20) + (15^2 / 540))
- t ≈ -1.67
2. Determine the critical t-value:
- Using a t-table or calculator, find the critical t-value for a 90% level of confidence and the degrees of freedom (df = 560).
3. Compare the t-statistic to the critical t-value:
- Since the t-statistic (-1.67) is less than the critical t-value (approximately 1.65), the difference between the means is not statistically significant at the 90% level of confidence.
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