The state superintendent of schools consistently states that the average salary of all substitute teachers in every school district is at least $60 per day. So she samples eight school districts to help her test her claim. The daily salaries she found for the district where $60 $56 $60 $55 $70 $55 $60 $55 What statistical test should be performed? Should the test be one sided or two? Which conditions has to be satisfied for the test that we do not have to check for the test proportions Write two hypotheses for the problem Make a sketch of the distributions indicating the test statistic and P. Compute the appropriate statistical test and report the test statistics and associated p-values In the context of the problem, write a conclusion to the study and substantiate your conclusion using statistical arguments. Use an alpha level of 0.05 Find a 95% confidence interval for the true daily salary based on the data.

Question
  1. The state superintendent of schools consistently states that the average salary of all substitute teachers in every school district is at least $60 per day. So she samples eight school districts to help her test her claim. The daily salaries she found for the district where $60 $56 $60 $55 $70 $55 $60 $55
  2. What statistical test should be performed? Should the test be one sided or two?
  3. Which conditions has to be satisfied for the test that we do not have to check for the test proportions
  4. Write two hypotheses for the problem
  5. Make a sketch of the distributions indicating the test statistic and P.
  6. Compute the appropriate statistical test and report the test statistics and associated p-values
  7. In the context of the problem, write a conclusion to the study and substantiate your conclusion using statistical arguments. Use an alpha level of 0.05
  8. Find a 95% confidence interval for the true daily salary based on the data.

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