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in statistics, a population is a set of similar items or events which i…

Question

in statistics, a population is a set of similar items or events which is of interest for some question or experiment and a sample is a set of data collected from a population by a defined procedure. in the following examples of statistical studies, identify the population of interest and the sample and provide the sample size.

i. an employee at the local ice cream parlor asks eight customers if they like chocolate ice cream.

  • population: select an answer
  • sample size:

ii. a sample of eight thousand randomly selected adults were asked whether they drink at least 24 oz of water each day and only 37% said yes.

  • population: select an answer
  • sample size:

iii. in a poll of eight hundred randomly selected college students, 74% answered yes when asked do you have a television in your dorm room?

  • population: select an answer
  • sample size:

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Explanation:

Step1: Identify population and sample for first case

The population is all customers of the local ice - cream parlor. The sample is the 8 customers who were asked. The sample size is the number of elements in the sample, so it is 8.

Step2: Identify population and sample for second case

The population is all adults. The sample is the 8000 randomly selected adults. The sample size is 8000.

Step3: Identify population and sample for third case

The population is all college students. The sample is the 800 randomly selected college students. The sample size is 800.

Answer:

i. Population: All customers of the local ice - cream parlor; Sample size: 8
ii. Population: All adults; Sample size: 8000
iii. Population: All college students; Sample size: 800