Math Problem Statement
Question content area top Part 1 Construct a 90 %90% confidence interval for mu 1 minus mu 2μ1−μ2 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 133 mg comma s 1 equals 3.98 mg comma n 1 equals 13x1=133 mg, s1=3.98 mg, n1=13 x overbar 2 equals 121 mg comma s 2 equals 2.23 mg comma n 2 equals 18x2=121 mg, s2=2.23 mg, n2=18 ConfidenceConfidence interval wheninterval when variances arevariances 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 EndRootx1−x2−tc s21 n1+ s22 n2<μ1−μ2<x1−x2+tc s21 n1+ s22 n2 d.f. is the smaller of n 1n1minus−1 or n 2n2minus−1 Question content area bottom Part 1 Enter the endpoints of the interval. nothing less than mu 1 minus mu 2 less than nothingenter your response here<μ1−μ2<enter your response here (Round to the nearest integer as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Confidence Intervals
T-Distribution
Standard Error
Formulas
Confidence Interval for Difference in Means
Theorems
Student's t-Distribution
Suitable Grade Level
College Level
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