課程名稱：統計學
課程性質：必修
課程範圍：區間估計與假設檢定(單樣本與雙樣本 成對母體 比例)
開課教師：羅光達
開課學院：社科院
開課系級：財政系
考試日期(年月日)：99/4/23
考試時限(Mins)：150Mins
試題本文：
Guidance:
1. Do all questions and write legibly.
2. Total point=100; Suggested time=150 minutes.
Please keep your original copy of quizzes/midterm/final, in case you need it
to correct your scores.
最終答案請務必四捨五入到小數點後第二位。
Question 1 (20%)
The real estate assessor for a state government wants to study various
characteristics of row houses in the state. A random sample of 75 houses
reveals the following:
Heated area of the houses (in square feet):X=1801 S=382
40 houses have central air-conditioning.
(sample size is small if n<30)
(1) Construct a 90% confidence interval estimate of the population mean
heated area of the houses.
(2) Construct a 95% confidence interval estimate of the population
proportion of houses that have central air-conditioning.
Question 2 (30%)
Let X be N(μ, 500)
To test H0: μ = 3000 against H1: μ ≠ 3000.
Assume that X = 3050 is the sample mean of a random sample of size 400.
(α = 0.05)
(1) Use the critical value approach to test this hypothesis. (10%)
(2) Use the p-value approach test this hypothesis. (10%)
(3) Compute the power of the test at μ = 3010 (10%)
Question 3 (30%)
某廠牌行動電話廠商宣稱，使用該牌行動電話者，女學生多於男學生至少
10%，今年在200個女學生中有50人使用，另外120個男學生中有19人
使用，(1)請問該廠商之宣稱是否有誤? (α = 0.05 ) (2)若該廠商宣稱男女學生使用行
動電話比例相等，是否有誤? (α = 0.05 )
Question 4 (10%)
某人擲一粒骰子48次，出現5點的次數為12次，請問該骰子之5點是否較
其他各點更容易被擲出? (α = 0.05)
Question 5 (10%)
If you want to be 99% confident of estimating the population mean to within
a sampling error of ±5 and the standard deviation is assumed to be 15, what
sample size is required?
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※ 編輯: sunnyboy0810 來自: 118.160.171.192 (05/05 07:53)