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5.2.1: Exercises

  • Page ID
    85093
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    1. A political scientist surveys 28 of the current 106 representatives in a state's congress. Of them, 14 said they were supporting a new education bill, 12 said there were not supporting the bill, and 2 were undecided.
      1. What is the population of this survey?
      2. What is the size of the population?
      3. What is the sample of this survey?
      4. Find the sample statistic for the proportion of representatives surveyed who said they were supporting the education bill.
      5. Based on this sample, we might expect how many of the representatives to support the education bill?
    2. The city of Raleigh has 9500 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 112 said they'd vote for Brown, 207 said they'd vote for Feliz, and 31 were undecided.
      1. What is the population of this survey?
      2. What is the size of the population?
      3. What is the sample of this survey?
      4. Find the sample statistic for the proportion of voters surveyed who said they'd vote for Brown.
      5. Based on this sample, we might expect how many of the 9500 voters to vote for Brown?
    3. A community college wants to determine how old its 30,000 students are.  Officials use student records to conclude that the mean age of students enrolled at the college is 28.2. 
      1. What is the population of this survey?
      2. What is the size of the population?
      3. Is this a census or a sample?
      4. Is the mean of 28.2 a statistic or a parameter?
      5. Is the conclusion part of descriptive or inferential statistics?
    4. Officials at the same community college also want to know how many of its students work at least 20 hours a week.  They survey 120 students at random.  59% of those surveyed say they work at least 20 hours a week.  They conclude that 59% of all the students enrolled at the college work at least 20 hours a week.
      1. What is the population of this survey?
      2. What is the sample of this survey?
      3. What is the size of the sample?
      4. Is 59% a statistic or a parameter?
      5. Is the conclusion part of descriptive or inferential statistics?

    This page titled 5.2.1: Exercises is shared under a not declared license and was authored, remixed, and/or curated by Leah Griffith, Veronica Holbrook, Johnny Johnson & Nancy Garcia.

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