Math Problem Statement
Construct a 90 % confidence interval for mu 1 minus mu 2 with the sample statistics for mean cholesterol content of a hamburger from two fast food chains and confidence interval construction formula below. Assume the populations are approximately normal with unequal variances. Stats x overbar 1 equals 57 mg comma s 1 equals 3.62 mg comma n 1 equals 13 x overbar 2 equals 45 mg comma s 2 equals 2.03 mg comma n 2 equals 17 Confidence interval when variances are not equal left parenthesis x overbar 1 minus x overbar 2 right parenthesis minus t Subscript c Baseline StartRoot StartFraction s Subscript 1 Superscript 2 Over n 1 EndFraction plus StartFraction s Subscript 2 Superscript 2 Over n 2 EndFraction EndRoot less than mu 1 minus mu 2 less than left parenthesis x overbar 1 minus x overbar 2 right parenthesis plus t Subscript c Baseline StartRoot StartFraction s Subscript 1 Superscript 2 Over n 1 EndFraction plus StartFraction s Subscript 2 Superscript 2 Over n 2 EndFraction EndRoot d.f. is the smaller of n 1minus1 or n 2minus1
Solution
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Math Problem Analysis
Mathematical Concepts
Confidence Intervals
T-Distribution
Formulas
Standard Error of the Difference between Means
Confidence Interval for Difference in Means when Variances are Unequal
Theorems
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Suitable Grade Level
Advanced Undergraduate
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