Help Save & Problem 10-1 Specifications for a part for a DVD player state that t
ID: 378995 • Letter: H
Question
Help Save & Problem 10-1 Specifications for a part for a DVD player state that the part should weigh between 24.5 and 25.5 ounces. The process that produces the parts has a mean of 25.0 ounces and a standard deviation of .25 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 b.Within what values will 99.74 percent of sample means of this process fall, if samples of n- 8 are taken and the process is in control (random)? (Round your answers to 2 decimal places.) Lower value[ . Upper value 1 of 3B Next >Explanation / Answer
1)
P(24.5 < X < 25.5) = P(X < 25.5) - P(X < 24.5)
= P(Z < 25.5 - 25/0.25) - P(Z < 24.5 - 25/0.25)
= P(Z < 2) - P(Z < -2)
= 0.9772 - 0.0228
= 0.9544
= 95.44%
2)
99.74% of data lies within 3 standard deviations
hence
lower value = 25 - 3 * 0.25 = 24.25
upper value = 25 + 3* 0.25 = 25.75
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