Question

14. For an egg to be considered "Extra Large" it must weigh 51.3 gram or more. The average mass of an egg from a farm in Ewing is 46.6 gram with a standard deviation of 7.7 gram. (Assume egg-size is normally distributed). (a) What is the percentage of eggs that are considered "Extra Large" (3 points) (b) The Egg-council decides that the portion of the eggs considered as "Large" comprises 25.00% of the total, with 51.3 gram as its Upper-bound. What is the Lower-bound target for the egg-mass value that would comprise the "Large" portion? (3 points)

Answer 1

Here We have Mean (M= 46.6 Standard deviation (69 = 7.7 (C) PCX 7,513) - Pl Tery 503-4667 7 PLZ), 0:61) 21- PIZ30.61) 31-07290691 from standard 1 20.270931 -10.2709) Round ho adecimal plaus - [27.09)%. (b) Pvalue for lobe bound - 1-10.2709+0.25) = 0.47491 210.4751 Round to 3deumat - places corresponding Escore for Pralue = 20.475 -0.063 Za X-M normal calculator -.063*7.7 + 466 3-0.063 - X- 46167x 0.7 461949 - 146115 Round fo 3 decima places

The lower bound target for the egg- mass value that would comprise the "Large" portion 2 (46.115]