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Answer :
Final answer:
To find a 95% confidence interval for μ1 - μ2, use the formula: CI = (x1 - x2) ± Z * √((s1)²/n1 + (s2)²/n2). Plug in the given values to calculate the confidence interval.
Explanation:
To find a 95% confidence interval for μ1 - μ2, we can use the formula:
CI = (x1 - x2) ± Z * √((s1)²/n1 + (s2)²/n2)
Using the given information:
- x1 = 97.8
- s1 = 6.1
- n1 = 22
- x2 = 90.6
- s2 = 7.4
- n2 = 23
- Z for a 95% confidence level is approximately 1.96
Plugging in these values, we get:
CI = (97.8 - 90.6) ± 1.96 * √((6.1)²/22 + (7.4)²/23)
Simplifying the expression gives us the 95% confidence interval for μ1 - μ2.
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