[試題] 98上 林曜松 生物統計學 期中考
課程名稱︰生物統計學
課程性質︰系訂必修
課程教師︰林曜松
開課學院：生命科學院
開課系所︰生命科學系
考試日期（年月日）︰2009/11/09
考試時限（分鐘）：110分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
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一 Explain the following terms (10%)
(1) Type I error
(2) Standard error
(3) Power of the test
二 請說明度量尺的類別並舉例 (10%)
(1) 名義尺度 Nominal Scale
(2) 序列尺度 Ordinal Scale
(3) 比例尺度 Ratio Scale
(4) 區間尺度 Interval Scale
三 Discuss the relationship between "the Central Limit Theorem"
__
and "the sampling distribution for "Ｘ". (5%)
四 Outline the factors affecting "Type II error" and "the power of a test"
of the hypothesis that μ=10. (5%)
五 Given that μ=15 and σ=5, evaluate: (10%)
(1) E((X-μ)/σ)
(2) Var(4X-3)
六 As part of a larger study of the effects of strenuous exercise on
human fertility and fecundity, the ages (in years) of menarche
(the beginning of menstruation) for 10 Olympic female endurance
athletes (runners and swimmers) who had vigorously trained for at
least 18 months prior to menarche were recorded. Calculate the
following descriptive statistics: (10%)
12 13 13 15 16 16 18 18 18 21
(1) Sample mean
(2) variance
(3) Standard deviation
(4) mode
(5) median
七 A plant pathologist studying fire blight (a bacterial disease of
apple trees) surveyed a large population of commercial apple trees
of a variety called Empire. She noted that 60% of the trees had
pink-flowers and the remainder had white flowers. Twenty-five percent
of the trees had some evidence of are blight infection and 10% were
pink-flowered and infected. (10%)
(1) What percentage of the trees was white-flowered and infected?
(2) What is the probability that a white-flowered tree will be infected?
(3) What is the probability that a pink-flowered tree will be infected?
(4) Are flower color and disease resistance independent? Explain.
(5) What kind of trees should she recommend to growers? Explain.
八 Suppose that you have read that the leopard frog, "Rana pipiens", has
a sex ratio in most populations of 60% females and 40% males. If this
is true, what is the probability that (10%)
(1) in a random sample of 15 individuals fewer than 8 will be female?
(2) in a random sample of 10 exactly 7 will be female?
九 In a pilot study, a public health survey of 10,000 people aged 40 to 49
in Boston revealed that 200 had AIDS. Estimate the population proportion
and find a 95% confidence interval for the estimate. Express yours answer
as a rate per 100,000. (10%)
十 In a study of the mating behavior of the tent cobweb weaver spider,
"Tidarren sisyphoides", copulatory duration was one of the features
studied. In this species the male dies during insertion and remains
coupled to the female epigynum for a period of time. He is not consumed
by the female as in many species but is instead eventually removed from
the web by the fertilized female.
Data from 16 copulations indicated an average copulation time of 120 min
with a standard deviation of 20 min. From the information given construct
99% confidence intervals for the mean. (10%)
十
一 A particular drug company claims that its headache remedy stops the
average headache in 14 minutes. Being skeptical, you randomly select 16
headache patients from the outpatient clinic, asking them to take one of
these pills when they have a headache and record the length of time
__
(in minutes) until it disappears. The results of your study are: Ｘ=17
minutes and s=4 minutes. Do your results disagree with the drug
company's claim? Explain. (10%)
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