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See the answer A medical doctor states that the mean age of his patients is 47 years. A random sample of 50 of his patients

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A medical doctor states that the mean age of his patients is 47 years. A random sample of 50 of his patients was selected and their age was recorded. The ages were inputted into MINITAB for analysis. Exhibit 3 overleaf shows the results of an analysis carried out on the data obtained.

Exhibit 3 One-Sample Z: Age Test of mu = 47 vs mu not = 47 The assumed sigma = 18.0 Variable N Mean StDev SE Mean Z P Age 50 45.6 18.1 2.6 * ** (i) Construct the 97% confidence interval for the population age. Interpret your results. [6 marks] (ii) State the null and the alternative hypotheses for this test. [3 marks] (iii) Calculate the missing value '*' and use tables to approximate the value of '**'. [5 marks] (iv) Explain the term 'level of significance'. [2 marks] (v) Using a 3% level of significance, state the decision criteria for this test. [1 mark] (v) If you were the student conducting this test, what would you conclude and why?

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