4.1. Data, collected by random sampling, from a class survey of introductory statistics students is shown


4.1. Data, collected by random sampling, from a class survey of introductory statistics students is shown in the Appendix D Data Set CLASSSUR and in the Data Library at www.duxbury.com. Use these data to answer the following.

  1. Estimate a population mean for one of the measurement variables, such as age, grade point average (GPA), or study hours.
  2. Estimate a population proportion for one of the categorical variables, such as gender, class, or job status.
  3. Compare means on one variable for at least two different groups, such as men and women.
  4. Compare proportions on one categorical variable for at least two different groups.

4.13: The data set USPOP in Appendix D lists resident population figures per state from the 2000 census. Select a simple random sample of five states. Use the 2000 population figures for the sampled states to estimate the total U.S. population and place a bound on the error of estimation. Does your interval answer include the total population figure given in the table? Do you think every possible $95 \%$ confidence interval based on samples of size 5 would include the true total? Compare your interval to those of other members of the class and calculate the percentage of observed intervals that actually capture the true total.

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