Three production lines contribute to the total pool of a company’s product. Line 1
provides 20% to the pool and 10% of its products are defective; Line 2 provides 50% to
the pool and 5% of its products are defective; Line 3 contributes 30% to the pool and
6% of its products are defective.
What percent of the items in the pool are defective? (5 分)
Three production lines contribute to the total pool of a company’s product. Line 1
provides 20% to the pool and 10% of its products are defective; Line 2 provides 50% to
the pool and 5% of its products are defective; Line 3 contributes 30% to the pool and
6% of its products are defective.
Suppose an item is randomly selected from the pool and found to be defective.
What id the probability that it came from Line 1? (5 分)
Consider an experiment having six possible outcomes whose probabilities are
hypothesized to be 0.1, 0.1, 0.15, 0.3, 0.2, and 0.15. This is to test by performing 60
independent replications of the experiment. If the resultant number of times that each of
the six outcomes occur is 4, 3, 7, 17, 16, and 13, should the hypothesis be rejected? Use
the 5 percent level of significance. (10 分)
Suppose that based on a random sample of size 10 from a normal population, one has
found the 95% confidence interval for the population mean to be (35.2, 44.8). Using
this result:
Find the sample standard deviation. (2 分)
Suppose that based on a random sample of size 10 from a normal population, one has
found the 95% confidence interval for the population mean to be (35.2, 44.8). Using
this result:
Determine a 90% confidence interval for the population mean. (5 分)
Suppose that based on a random sample of size 10 from a normal population, one has
found the 95% confidence interval for the population mean to be (35.2, 44.8). Using
this result:
Determine a 90% confidence interval for the population standard deviation. (5 分)
試求判定係數 (3分)
若該速食店計畫在學生數約為10000 人的學校旁開設新的分店,試預測該分店
單月的營業額 (3分)
A credit company randomly selected 50 contested items and recorded the dollar amount
being contested. These contested items had sample mean 75.43 dollars and standard
deviation 24.73 dollars.
A credit company randomly selected 50 contested items and recorded the dollar amount
being contested. These contested items had sample mean 75.43 dollars and standard
deviation 24.73 dollars.
Calculate the P-value. (3 分)
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