Eileen is a hard-working college sophomore. One Sunday, she decides to work nonstop until she has answered 250 practice problems for her math course. She starts work at 8:00 AM and uses a table to keep track of her progress throughout the day. She notices that as she gets tired, it takes her longer to solve each problem. Time Total Problems Answered 8:00 AM 0 9:00 AM 100 10:00 AM 175 11:00 AM 225 Noon 250   Use the table to answer the following questions. The marginal, or additional, gain from Eileen’s second hour of work, from 9:00 AM to 10:00 AM, is   problems.   The marginal gain from Eileen’s fourth hour of work, from 11:00 AM to noon, is   problems.

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Hypothesis Testing

In statistics, there are two ways to calculate the sample data. One is descriptive statistics and the other is inferential statistics.  In descriptive statistics, all of the information is defined through graphs and charts. In inferential statistics, it allows one to test the hypothesis and it is always used to predict the data. Inferential statistics has two main areas: estimating parameters and hypothesis testing. A hypothesis is a statement about the unknown parameter of the population which we want to verify from the information available from the sample. The premise may or may not be true. The estimation of the whole population would be a reasonable way of deciding if the statistical hypothesis is valid. There are two types of hypotheses. They are null hypothesis and alternative hypothesis.