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Suppose You Want to Test the Claim That μ1>μ2.\mu _ { 1 } > \mu _ { 2 } .

question 97

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Suppose you want to test the claim that μ1>μ2.\mu _ { 1 } > \mu _ { 2 } . Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that σ12σ22\sigma { } _ { 1 } ^ { 2 } \neq \sigma_ { 2 } ^{ 2 } At a
Level of significance of α α\alpha = 0.01, when should you reject H₀? n1=18n2=13x1=595x2=580 s1=40 s2=25\begin{array} { l l } \mathrm { n } _ { 1 } = 18 & \mathrm { n } _ { 2 } = 13 \\\overline { \mathrm { x } }_ 1 = 595 & \overline { \mathrm { x } }_ 2 = 580 \\\mathrm {~s} 1 = 40 & \mathrm {~s} 2 = 25\end{array}

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Definitions:

Decimal

Numbers that are expressed as a fraction of a part using 10 as its base number; it also refers to the period used to separate a whole number from a fraction, as in 10.2, otherwise read as “ten and two-tenths.”

Fraction

A numerical quantity that is not a whole number, representing a part of a whole.

Base Number

A mathematical value serving as a foundational digit in a numbering system, determining its counting process, such as 2 in binary or 10 in decimal.

Dosages

The prescribed amount and frequency of medication intake or drug administration.

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