# Variables and Distributions

Feb 3rd, 2012
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1) Determine whether the evaluated group is a population or a sample a) Based on a randomly selected group of 500 patients with high cholesterol, it was found that 67% have heart disease. Is this a population or a sample; explain your answer. b) An investigation of 150 randomly selected local restaurants concluded that 42% of local restaurants have serious health code violations. Is this a population or a sample; explain your answer. 2) Determine whether the given value is a statistic or a parameter. a) A researcher determines that 42.7% of all downtown office buildings have ventilation problems. Is this a statistic or a parameter; explain your answer. b) After taking the first exam, 15 of the students dropped the class. Is this a statistic or a parameter; explain your answer. 3) Identify the type of sampling used. a) A tax auditor selects every 1000th income tax return that is received. What type of sample is this and why? b) The name of each contestant is written on a separate card, an

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Variables and DistributionsCHAPTER 11a)A group of 500 patients that are randomly selected with high cholesterol is a sample. The reason is that 500 people selected are a random part of the whole population of people with high cholesterol. Therefore, this sample of 500 people is the subset of the population with high cholesterol. 1b)An investigation of 150 randomly selected local restaurants is a sample. The reason is same as above i.e. only 150 restaurants were randomly investigated out of the whole population of local restaurants. Therefore, this sample of 150 restaurants is the subset of the total population of local restaurants.2a)A research determination that 42.7% of all downtown office building has ventilation problems is an example of parameter. Since parameter is a characteristic of an entire population, the researcher is taking into account the whole population of downtown office buildings to determine the ventilation problems. 2b)A total of 15 students who dropped the class after taking the first exam is an example of statistics. Since statistics is characteristic of a sample found by consolidating or summarizing data, the number given is not based on the entire population of students taking the first exam. It is to be a sample of students, determining the statistical result of 15 students dropping the class. 3a)A tax auditor who selects every 1000th income tax return is a method of systematic sampling. In this systematic sampling, a tax auditor selects e

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