QUESTION 02 (10 points) - Confidence Interval for the Population Mean with Known o A population is normally distributed with known o = 15.4. From the population, a simple random sample of 48 is drawn. The calculated sample mean is 57.9. (a) [5] Construct the 90% Cl for . Sketch the CI. Make a statement on whether can be 58. (b)[5] Construct the 95% CI for . Sketch the Cl. Make a statement on whether can be 65. Hint: Round off probabilities and values to 4 decimal places. Sketch the corresponding z-value for each confidence interval, besides sketching the Cl itself. Refer to some Excel value lookups: 0.950 0.995 1.6449 2.5758 NORM.S.INV(av) 0.960 1.7507 0.975 1.9600 0.980 2.0537

QUESTION 02 (10 points) - Confidence Interval for the Population Mean with Known A population is normally distributed with known =15.4. From the population, a simple random sample of 48 is drawn. The calculated sample mean is 57.9. (a) [5] Construct the 90%Cl for . Sketch the Cl. Make a statement on whether can be 58 . (b) [5] Construct the 95%Cl for . Sketch the Cl. Make a statement on whether can be 65 . Hint: Round off probabilities and values to 4 decimal places. Sketch the corresponding z-value for each confidence interval, besides sketching the Cl itself. Refer to some Excel value lookups