LSAT Scores
a Recent College Graduate Is in the Process

question 55

Essay

LSAT Scores
A recent college graduate is in the process of deciding which one of three Law schools he should apply to.He decides to judge the quality of the schools on the basis of the Law School Admission Test (LSAT)scores of those who are accepted into the school.A random sample of six students in each school produced the following LSAT scores.An F-test using ANOVA concluded that average LSAT scores differ for at least two of the schools.
$$\begin{array}{l}\text { LSAT Scores }\\\begin{array} { c c c } \hline \text { School 1 } & \text { School 2 } & \text { School 3 } \\\hline 650 & 510 & 590 \\620 & 550 & 510 \\630 & 700 & 520 \\580 & 630 & 500 \\710 & 600 & 490 \\690 & 650 & 530 \\\hline\end{array}\end{array}$$
-{LSAT Scores Narrative} Use Tukey's method with $\alpha$ = 0.05 to determine which population means differ.

Calculate probabilities for various ranges under the standard normal distribution.

Understand the characteristics and applications of the uniform distribution.

Calculate probabilities and statistical measures (e.g., mean, standard deviation) for the uniform distribution.

Apply the normal approximation to the binomial distribution.

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Definitions:

Future Value

Future value is the value of a current asset at a specified date in the future based on an assumed rate of growth over time.

Compounded Monthly

Interest calculation where interest is added to the principal balance each month, leading to an increase in the total interest earned over time.

Ordinary Annuity

A sequence of identical payments made consistently during a defined timeframe.

Compounded Semi-Annually

Interest calculation method where the interest is added to the principal at half-year intervals, leading to an increase in the amount of subsequent interest.