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List down five (5) different real-life situations where hypothesis testing can be done. Identify the parameter to be tested in each situation. 1 . 2. 3. 4. 5.Parameters in statistics are important component of any statistical analysis. In simple words, a parameter is any numerical quantity that characterizes a given population or some of its aspects. This means the parameter tells us somethingr about the whole population. However, the numerical measure that is calculated from the sample is called statistic. Statistic is a known number and a variable that depends on the portion of the population. a parameter denotes the true value that would be obtained if a census rather than a sample was undertaken. Examples of parameters are the measures of central tendency. These tell us how the data behave on an average basis. For example, mean. median, and mode are measures of central tendency that give us an idea about where the data concentrate. Meanwhile. standard deviation tells us how the data are spread from the central tendency1 i.e. whether the distribution is wide or narrow. Such parameters are often very useful in analysis. In the normal distribution. there are two parameters that can characterize a distribution - the mean and standard deviation. By varying these two parameters. you can get different kinds of normal distribution. Different symbols are used to denote parameters. Based on Activity 2, symbols are grouped as indicated in the table below. Measure Parameter m variance 32 or2 si_ s : uuared standard deviation o Sly-Ia Mean and standard deviation are two common parameters. Identifying Parameter to be Tested Illustrative Examples: 1. The average height of adult Filipinos 20 years and older is 163 cm for males. Parameter: the average height of adult Filipinos 20 years and older in hypothesis testing, the parameter will be translated into symbols such as a = 163 where n is the symbol for meanlf average and 163 is the value that pertains to the average height. 2. A Grade 11 researcher reported that the average allowance of Senior High School students is P100. A sample of 40 students has mean allowance of P120. At a = 0.01 test, it was the claimed that the students had allowance of l" 100. The standard deviation of the population is P50. Parameters: the average allowance of Senior High school students is P100 or a = Pillll In this claim. there are diiferent parameters used but the parameter to he tested in this hypothesis would be the average allowance of Senior High School students since it relates to the population, not in sample. Statistical hypothesis is a conjecture about the population parameter that's why you will look for the population mean, population standard deviation, or population proportion but not sample mean. 3. According to a survey. 63% of the parents are willing to spend extra money for their children's health and education matters. Parameter: the pereentagefproportlon of parents willing to spend extra moneyr in their children's health and education matter or p = 0.153 To identify the parameters to be tested: 1. Just look for meanfaverage. standard deviation, variance, and proportion of population. 2. Determine the value that pertains to the given parameter, then translate them in symbols for hypothesis testing