When a random variable X representing student's weekly expenditure at grocery stores is distributed as X ~ N(67, 784), a sample mean calculated for a sample of 25 students is, A. normally distributed with mean 67 and variance 31.36. B. normally distributed with mean 67 and variance 28. O C. normally distributed with mean 67 and variance 156.80. D. normally distributed with mean 67 and variance 784.

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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.