Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.10 cm. Samples of size
1 answer:
Solution :
Given the average range of the holes drilled = 0.10 cm
The average diameter of the holes drilled = 0.25 cm
The sample size = 4
For the sample size of 4, the factor for control limit for the range () = 2.28 (From the table of constants for X-bar and R-chart)
The upper control limit for the R-chart = R-bar x
= 0.10 x 2.28
= 0.228
Therefore, the answer is greater than 0.202 but less than or equal to 0.302
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Answer:
a) 14960 bottles
b) 502 bottles
Step-by-step explanation:
Given that:
Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces
a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).
Therefore 68% fall within 0.14 ounces of the mean
the number of bottle = 22,000*68% = 14960 bottles
b) To solve this we are going to use the z score equation given as:
where x is the raw score = 23.72
From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228
The number of rejected bottles = 22000 × 0.0228 = 502 bottles