Data on fifth-grade test scores (reading and mathematics) for 420 school districts in California yield Y=7044 and standard deviation sy=21.3 702 36 706.44 ) (Round your responses to two decimal places) The 95% confidence interval for the mean test score in the population is ( When the districts were divided into districts with small classes (<20 students per teacher) and large classes (220 students per teacher), the following results were found Class Size Average Score (Y) Standard Deviation (sy) 716.6 708.5 The p-value for the test is Small Large 4.05 21.1 19.5 n Is there statistically significant evidence that the districts with smaller classes have higher average test scores? The f-statistic for testing the null hypothesis is (Round your response to two decimal places) (Round your response to six decimal places) Hint: Use the Excel function Norm.S.Dist to help answer this question 236 181

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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.