A CAR MANFACTUREE AIM TO IMPROVE THE QUAL;ITY OF THE PRODUCTS BY REDUCING THE DEFECTS AND ALSO INCREASES THE CUSTOMER SATISFACTION .TJHERFORE HE MONITORS THE EFFICIENCY OF TWO ASSEMBLY LINES IN THE SHOP FLOOR. IN LINE a TGERE ARE 18 DEFECTS REPORTED OUT OF 200 SAMPLES WHILE THE LINE B SHOWS 25 DEFECT OUT OF 600 CARS . AT a 5% , IS THE DIFFERENCE BETWEEN TWO ASSEMBLY PROCEDURES ARE SIGNIFICANT?
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QUESTION 10 A car manufacturer aims to improve the quality of its products by reducing defects and increasing customer satisfaction. To achieve their goal, the quality department decides to monitor two assembly lines on the shop floor. In line A they find 18 defects out of 200 randomly sampled cars, and in line B they find 25 defects out of 600 randomly sampled cars. The car manufacturer is interested in determining if there is a significant difference between the two assembly lines. Statisticians for the manufacturer calculated a test statistic of z = 2.38. Help the manufacturer by computing the p-value for this test. p-value = 0.089 p-value = 0.311 p-value = 0.001 p-value = 0.029 p-value = 0.017
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