Question

specifications for a part for a DVD player should weigh between 25.3 and 26.3

Specifications for a part for a DVD player state that the part should weigh between 24.3 and 25.3 ounces. The process that produces the parts has a mean of 24.8 ounces and a standard deviation of 23 ounce. The distribution of output is normal. Use Table-A. a.What percentage of parts will not meet the weight specs? (Round your "z" value and final answer to 2 decimal places. Omit the "%" sign in your response.) N Percentage of parts % b.Within what values will 99.74 percent of sample means of this process fall, if samples of n = 6 are taken and the process is in control (random)? (Round your answers to 2 decimal places.) Lower value Upper value

Answer 1

Answers A B 1 Data Given: 2 Specifications 3 Weight upper limit 4 Weight lower limit 5 Mean 6 std dev 26.3 25.3 25.8 0.23 7 3 2.17 0.4850 0.5 0.0150 0.03 8 Answer a: % of parts (.03x100) 9 Calculations answer a: 10 Z =(x-mean)/std dev, (26.3-25.8)/.23 11 Refer Table A 2.17=.4850 12 26.3-25.8=.5 13 Mean-Table value, .5-.4850 Tail value (.0150X2), taking upper and lower 14 tail 15 Answer b: 16 Lower value (xbar+z* (stddevx), 25.8+3*0.09) 17 Upper value (xbar-z* (stddevx), 25.8+3*(.09) 18 Calculation answer b: 19 n 20 percent values 21 z value (.9974), norminv(.9974) 22 Stddev x=stddev/sqrt(n), 26.08 25.52 6 99.74 3 0.09

Calculations in excel A B 1 Data Given: 2 Specifications 3 Weight upper limit 4 Weight lower limit 5 Mean 6 std dev 26.3 25.3 =AVERAGE(B3:B4) 0.23 7 =0.03*100 8 Answer a: % of parts (.03x100) 9 Calculations answer a: 10 Z =(x-mean)/std dev, (26.3-25.8)/.23 11 Refer Table A 2.17= 4850 12 26.3-25.8=.5 13 Mean-Table value, .5-.4850 =ROUND((B3-B5)/B6,2) 0.485 =B3-B5 =B12-B11 =B13*2 =ROUND(B5+B8*B22,2) =ROUND(B5-B8*B22,2) 14 Tail value (0150X2), taking upper and lower tail 15 Answer b: 16 Lower value (xbar+z* (stddevx), 25.8+3*(.09) 17 Upper value (xbar-z* (stddevx), 25.8+3*0.09) 18 Calculation answer b: 19 n 20 percent values 21 z value (.9974), norminv(.9974) 22 Stddev x=stddev/sqrt(n), 231 6 99.74 =ROUND(NORMSINV(0.9974),0) =B6/SQRT(B19)
*"Pls upvote if you like the answer"