3. A random sample of 250 SAT mathematics scores tabulates as follows: 200-300 300–400 400–500 500–600 600-700 700–800 7 39 74 82 36 12 (a) Find a 95% confidence interval for the proportion of scores over 500. (b) Test the null hypothesis that the data follow a normal distribution with H= 500 and o= 100. (c) Assume the above data comes from a normally distributed population with unknown u and o. In this case, the sampling distribution of (n– 1)s² -follows a chi-square distribution. If computer output of the above data yieldsn= 250, lem the y2-values for tails of .025 and .975 are 294.6 and 207.2, respec- tively, find a 95% confidence interval for the standard deviation o. = 504.8, and s 114.4, and if in this prob- %3D

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.