Answer Happy

Question 3 A hospital administrator believes that the standard deviation of the number of people using outpatient surgery per day is greater than 8. A random sample of 15 days is selected. The data are shown. Method 25 10 Below is the Minitab output for the above data. Test and Cl for One Variance: No_of_patient Statistics 30 12 Null hypothesis a = 8 Alternative hypothesis σ > 8 Tests Variable No_of_patient 5 Variable N StDev Variance No_of_patient 15 11.2 125 12 The chi-square method is only for the normal distribution. The Bonett method is for any continuous distribution. 90% One-Sided Confidence Intervals Variable No_of_patient Method Chi-Square Bonett Method Chi-Square Bonett 15 38 Lower Bound for St Dev 9.1 8.7 18 8 Lower Bound for Variance Test 83 76 Statistic DE P-Value 27.45 14 42 14 0.017 0.046 16 27 9 Is there enough evidence to support the administrator's claim? Using p-value, test the administrator's claim at a = 0.10. Assume the variable is normally distributed. (5 marks)