A suppliers’ let size (N) of component is 1000, the defective rate (P) of the lot is
2%, the sampling plan of a toy company is taken 100 components to inspect the quality,
if the defective number of 100 samples are not great than 1, that the toy company accept
the lot. To find the probability of accept the lot. (15%)
(一) Using binomial distribution (List the formula only, needed not accuracy answer)
(5%)
(二) Using hypergeometric distribution (List the formula only, needed not accuracy
answer) (5%)
(三) Using Poisson distribution (List the formula only, needed not accuracy answer)
(5%)
In a random sample of 800 customers selected for a short phone interview, 96 have
stated that they have received their shipments late. Compute the confidence interval of
the population proportion about shipments late, at the 0.1 level of significance. (10%)
(一) Is the variance of receive money from group A different from group B ? (10%)
(二) Is the mean of receive money from group A different from group B ? (10%)
A production line operation is tested for filling-weight accuracy with the following
hypotheses.
H0 :μ =16 (Ounces) Filling okay; keep running
H1 :μ ≠16 (Ounces) Filling off standard; stop and adjust machine
The sample size is 36 and the population standard deviation is σ = 0.9 , if fillingweight
is normal distribution. To find the type II error, when true mean of population is
16.5, at the 0.05 level of significance. (10%)
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