22) A 50-volt battery must be between 55 and 45 volts when it leaves the factory. Two hundred
samples of batteries have yielded the following data: average charge of 49 volts with a standard
deviation of 2.5 volts. What is the probability of producing an out-of-spec battery?
A) 0.06
B) 0.80
C) 0.53
D) 0.12
E) 0.32
23) The diameter of a mason jar is 3 inches but can be as large as 3.03 inches and as small as
2.97 inches. Twenty five samples of mason jars are taken and it is discovered that these
components have a grand mean of 3.01 inches and a standard deviation of 0.02 inches. What is
the capability of this process?
A) 0.08
B) 0.16
C) 0.33
D) 0.49
E) 0.66
24) The upper and lower specifications for metal head plates are 5 ±0.1 cm. A sample of the
metal head plates in 25 undergraduates yields a mean of 5.05. We know that the population
standard deviation is 0.04. What is the population capability index?
A) 2.15
B) 2.51
C) 1.25
D) 1.52
E) 0.42