一、 選擇題（10題，每題3分，共30分）
1.	Which of the following statements is not a required assumption for developing an interval estimate of the difference between two sample means when the samples are small?
	a. Both populations have normal distributions.
	b. σ1 = σ2 = 1
	c. Independent random samples are selected from the two populations.
	d. The variances of the two populations are equal.
	e. None of the above answers is correct.
2.	The power curve provides the probability of
	a. correctly accepting the null hypothesis
	b. incorrectly accepting the null hypothesis
	c. correctly rejecting the alternative hypothesis
	d. correctly rejecting the null hypothesis
	e. None of the above answers is correct.
3.	The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. What is the minimum weight of the middle 95% of the players?
	a. 196
	b. 151
	c. 249
	d. 190
	e. None of the above answers is correct.
4.	Compared to the confidence interval estimate for a particular value of y (in a linear regression model), the interval estimate for an average value of y will be
	a. narrower
	b. wider
	c. the same
	d. Not enough information is given.
	e. None of the above answers is correct.
5.	Which of the following tests is used to determine whether an additional variable makes a significant contribution to a multiple regression model?
	a. a t test
	b. a Z test
	c. an F test
	d. a chi-square test
	e. None of the above answers is correct.
6.	When ranking combined data in a Wilcoxon signed rank test, the data that receives a rank of 1 is the
	a. lowest value
	b. highest value
	c. middle value
	d. This can vary according to the data.
	e. None of the above answers is correct.
7.	If two events are independent, then
	a. they must be mutually exclusive
	b. the sum of their probabilities must be equal to one
	c. their intersection must be zero
	d. All of the above answers are correct.
	e. None of the above answers is correct.
8.	Which of the following is an example of nonprobabilistic sampling?
	a. simple random sampling
	b. stratified simple random sampling
	c. cluster sampling
	d. judgment sampling
	e. None of the above answers is correct.
9.	An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 20 observations. The degrees of freedom for the critical value of F are
	a. 6 numerator and 20 denominator degrees of freedom
	b. 5 numerator and 20 denominator degrees of freedom
	c. 5 numerator and 114 denominator degrees of freedom
	d. 6 numerator and 20 denominator degrees of freedom
	e. None of the above answers is correct.
10.	Sampling errors can
	a. be avoided by increasing the sample size to at least 30
	b. be avoided if the sample is increased so that it will be at least 5% of the population
	c. be avoided by using probabilistic sampling
	d. can not be avoided
	e. None of the above answers is correct.
二、 計算題（6題，共70分）
1.	Fowle Marketing Research,Inc., bases charges to a client on the assumption that telephone surveys can be completed within 15 minutes or less. If more time is required, a premium rate is charged. With a sample of 35 surveys, a standard deviation of four minutes, and a level of significance of .01, the sample mean will be used to test the null hypothesis Ho: µ≦15. What is the probability of making a Type II error when the actual mean time is µ= 18 minutes? (10分)
2.	Blackjack, or twenty-one as it if frequently called, is a popular gambling game played in Las Vegas casinos. A player is dealt two cards. Face card (jacks, queens, and kings) and tens have a point value of 10. Aces have a point value of 1 or 11. A 52-card deck has 16 cards with a point value of 10 (jacks, queens, kings, and tens) and four aces. Now, a blackjack is a 10-point card and an ace for a value of 21. What is probability that a player is dealt blackjack? (10分)
3.	A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Because of different gasoline performance characteristics in different brands of automobiles, five brands of automobiles are selected and treated as blocks in the experiment. That is, each brand of automobile is tested with each type of gasoline. The results of the experiment (in miles per gallon) follow.
	At α=.05, is there a significant difference in the mean miles-per-gallon characteristics of the three brands of gasoline? (15分)
4.	Shown below is a partial computer output from a regression analysis.
	Analysis of Variance
	Source of　　　　Degrees　　　　Sum of　　　　Mean
	Variation　　　　of Freedom　　　Squares 　　　Square 　　　F
	Regression　　　　　　　　　　　 60
	Error
	Total 　　　　　　19 　　　　　　140
	a. Use the above results and write the regression equation. (2分)
	b. Compute the coefficient of determination. (3分)
	c. At α = 0.05, test to see if there is a relation between X3 and Y. (5分)
	d. Is the regression model significant? Perform an F test and let α = 0.05. (5分)
5.	The variance in the number of vehicles owned or leased by subscribers to Fortune magazine is .94. Assume a sample of 12 subscribers to another magazine provided the following data on the number of vehicles owned or leased: 2, 1, 2, 0, 3, 2, 2, 1, 2, 1, 0, and 1. Test the hypothesis that the variance in the number of vehicles owned or leased is the same for both magazines. With a .05 level of significance, what is your conclusion? (10分)
6.	Two individuals were asked to rank performances of eight different automobiles. The following show their rankings. Determine the Spearman rank-correlation coefficient and test for a significant correlation with α= 0.05. (10分)
	t分配表
	Z分配表
	F分配臨界值表 P( F > Fα ) = α α = 0.05
	χ分配臨界值表 P( χ2 > χ2α ) = α

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