UESTION9 Suppose you work for a firm that manufactures a product using raw mater
ID: 2949336 • Letter: U
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UESTION9 Suppose you work for a firm that manufactures a product using raw materials and several components that are purchased from other companies. One of these components, a metal bracket, is especially critical with respect to its thickness. The specifications for the metal bracket require that its thickness be between 5.2 mm and 5.8 mm. One of your duties is to purchase the metal brackets from a supplier, Two suppliers (supplier A and supplier B) are competing for your business. Supplier A produces metal brackets such that the thickness of any given bracket is a normal random variable having mean 5.5 mm and a standard deviation of 0.15 mm. Let XA denote the thickness of a metal bracket purchased from supplier A. Supplier B produces metal brackets such that the thickness of any given bracket is a normal random variable having a mean of 5.5 mm and a standard deviation of 0.2 mm. Let Xg denote the thickness of a metal bracket purchased from supplier B. Assuming that supplier B is used, what is the thickness (in mm) that is exceeded by 57.93% of metal brackets? Report answer to three dec mal places. Answer must be within +/-0.001 of correct vaue. QUESTION 10 Suppose you work for a firm that manufactures a product using raw materials and several components that are purchased from other companies. One of these components, a metal bracket, is especially critical with respect to its thickness. The specifications for the metal bracket require that its thickness be between 5.2 mm and 5.8 mm. One of your duties is to purchase the metal brackets from a supplier. Two suppliers (supplier A and supplier B) are competing for your business. Supplier A produces metal brackets such that the thickness of anygiven bracket is a normal random variable having mean 5.5 mm and a standard deviation of 0.15 mm. Let XA denote the thickness of a metal bracket purchased from supplier A. Supplier B produces metal brackets such that the thickness of any given bracket is a normal random variable having a mean of 5.5 mm and a standard deviation of 0.2 mm. Let XB denote the thickness of a metal bracket purchased from supplier B. Assuming that supplier B is used what is the value n mm that exceeds the thickness of 90.32% of metal brackets? Report answer to three decimal paces. Answer must be within + 0.001 of conect vaie. QUESTION 11 Suppose you work for a firm that manufactures a product using raw materials and several components that are purchased from other companies. One of these components, a metal bracket, is especially critical with respect to its thickness. The specifications for the metal bracket require that its thickness be between 5.2 mm and 5.8 mm. One of your duties is to purchase the metal brackets from a supplier. Two suppliers (supplier A and supplier B) are competing for your business. Supplier A produces metal brackets such that the thickness of anygiven bracket is a normal random variable having mean 5.5 mm and a standard deviation of 0.15 mm. Let XA denote the thickness of a metal bracket purchased from supplier A. Supplier B produces metal brackets such that the thickness of any given bracket is a normal random variable having a mean of 5.5 mm and a standard deviation of 0.2 mm. Let XB denote the thickness of a metal bracket purchased from supplier B. Assuming that supplier B is used, what is the thickness (in mm that is exceeded by 50% of metal brackets? Report answer to three decimal places. Answer must be within + 0.001 of corect value. QUESTION 12 Suppose you work for a firm that manufactures a product using raw materials and several components that are purchased from other companies. One of these components, a metal bracket, is especially critical with respect to its thickness. The specifications for the metal bracket require that its thickness be between 5.2 mm and 5.8 mm. One of your duties is to purchase the metal brackets from a supplier. Two suppliers (supplier A and supplier B) are competing for your business. Supplier A produces metal brackets such that the thickness of any given bracket is a normal random variable having mean 5.5 mm and a standard deviation of 0.15 mm. Let XA denote the thickness of a metal bracket purchased from supplier A. Supplier B produces metal brackets such that the thickness of any given bracket is a normal random variable having a mean of 5.5 mm and a standard deviation of 0.2 mm. Let XB denote the thickness of a metal bracket purchased from supplier B. Assuming that supplier B is used, what is the length (in mm) of the interval, symmetric about the mean, that contains the value of 63.19% of metal brackets? ( Report answer to three decimal places. Answer must be within +0.001 of correct value.)Explanation / Answer
Solving question 9
Z for cumulative probability of 0.5793 is 0.2001 frok p-value table
Thickness = Mean +z* Standard deviation = 5.5+0.2*0.2001=5.54002
10) Z = 1.3 for cumulative probaiblity of 0.9032
Thickness = 5.5+0.2*1.3 = 5.76
11) Thickness above 50% of cumulative probabiltiy = Mean = 5.5 mm
12) Z for interval of lenght of 0.6319 is 0.9004 and -0.9004 for
Cumulative probability of 0.5+0.6319/2 and Cumulative probaiblity of 0.5-0.6319*2
Lenght = 0.2*2*0.9004=0.36016
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