A random sample of size n1 = 25, taken from a normal population with a standard deviation σ1 = 5, has a mean 1 = 80. A second random sample of size n2 = 36, taken from a different normal population with a standard deviation σ2 = 3, has a mean 2 = 75. Find a 95% confidence interval for μ1 − μ2

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1. A random sample of size n1 = 25, taken from a normal population with a standard  deviation σ1 = 5, has a mean 1 = 80. A second random sample of size n2 = 36, taken  from a different normal population with a standard deviation σ2 = 3, has a mean 2 =  75. Find a 95% confidence interval for μ1 − μ2 

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