Solve the Problem

question 19

Multiple Choice

Solve the problem. Round the standard score to the nearest tenth before using the z-score tables. Express your answer as
a percent rounded to hundredths of a percent.
-A final exam in Math 160 has a mean of 73 with standard deviation 9.8. Assume that a random sample of 24 students is selected and the test score of the sample is computed. Assuming the scores are normally distributed,
What percentage of sample means are between 72 and 74?

• A)30.85%
• B)69.15%
• C)38.3%
• D)61.7%

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Definitions:

Michael Addition

A nucleophilic addition of a carbanion to an α,β-unsaturated carbonyl compound resulting in a carbon-carbon bond formation.

Alkylation

A chemical reaction in which an alkyl group is introduced into an organic compound.

Lithium Diisopropylamide

A strong, non-nucleophilic base used in organic synthesis for deprotonation reactions, represented by the chemical formula [(CH3)2CH]2NLi.

Resonance Forms

Different Lewis structures for a single molecule that cannot be represented by only one structure but by the hybrid of these structures, showing delocalized electrons.