A study investigates a claim that the mean age of the prison population at a certain...

  

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A study investigates a claim that the mean age of the prison population at a certain facility is less than 26 years. The sample data are summarized as follows: n=25, the sample mean is 24.4 years, and the sample standard deviation is 9.2 years. Conduct a significance test using a signifi- cance level of 0.05. a. b. C. d. State the hypotheses. (2 marks) Calculate the test statistic. (2 marks) State the approximate P-value. (2 marks) Interpret the P-value in context, state your conclusion. (2 marks) e) Suppose that the results of the sample lead to a non-rejection of the null hypothesis, however you then find out that in fact the mean age of prisoners (mu) is less than 26 years. How would you clas- sify this error? (Type I or Type II) Explain. (2 marks) A study investigates a claim that the mean age of the prison population at a certain facility is less than 26 years. The sample data are summarized as follows: n=25, the sample mean is 24.4 years, and the sample standard deviation is 9.2 years. Conduct a significance test using a signifi- cance level of 0.05. a. b. C. d. State the hypotheses. (2 marks) Calculate the test statistic. (2 marks) State the approximate P-value. (2 marks) Interpret the P-value in context, state your conclusion. (2 marks) e) Suppose that the results of the sample lead to a non-rejection of the null hypothesis, however you then find out that in fact the mean age of prisoners (mu) is less than 26 years. How would you clas- sify this error? (Type I or Type II) Explain. (2 marks)

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a State the hypotheses H0 26 H1 26 b Calculate the test statistic We are testing a single mean again... View the full answer