110年 - 110 國立臺灣科技大學_碩士班招生試題_企業管理系：統計學#111322

選擇題 (4)

1. The mean and variance of the_________ distribution are the same. (5 points) (A)Poisson (B)Exponential (C)Binomial (D)Gamma

2. The p-value is a probability which offers a measure of the evidence for determining whether _________ should be rejected.(5 points) (A)the alternative hypothesis (B)the null hypothesis (C)neither the null nor the alternative hypothesis (D)either the null or the alternative hypothesis

3. The measure of variability which overcomes the dependency on the extreme data values is the_______ .(5 points) (A)median (B)interquartile range(C)range (D)geometric mean

4. The sum of the probabilities of two complementary events is________. (5 points) (A)1.0 (B)0.5 (C)0.25 (D)0

申論題 (14)

I. Please compute the value of b for which the function, A(x), to be a valid probability density function (PDF). (S points)

II. Given that f(x) is a valid PDF, find the probability when 0 ≤ x ≤ 1. (S points)

I. What is the probability that the average language test in the sample () will be greater than 68.92? (5 points)

II. What is the probability that the average language test in the sample (

) will be between 62.64 and 67.36 ? (5 points)

7. The following data are from matched samples taken from two populations. (10 points)
Considering the following hypothesis test (μd= the mean of the difference values for each element) Ho:μd =0
Ha:μd≠0
Use the p-value approach to conduct the hypothesis test by using a = 0.05. What is your conclusion?

a. Identify one significant finding regarding Time Management. (2 point)

b.State the null and alternate hypothe thesis. (2 point)

c.Compare F-critical and F-obser erved and F-Prob with alpha set by the authors and comment on on what you fin(D)(4 point)

d.Does Table 2 provide any additional context in understanding this finding. explain the addit

Ⅱ. Could the authors have used a t-test instead of an F-test (or ANOVA) to address ditional insight. (2 point) these research questions? Why or Why not? (10 points) s using the

I. Please explain what is false positive(偽陽性/假陽性) in terms of coronavirus testing (6 points)

IL. Create a two by two table (2x2, four cells) including False positive and other three testing results (12 points)

IIl. Identify alpha, beta, and power in the figure below. (6 points)

Ⅳ. Explain what is alpha? beta? power? in hypothesis testing.(6 points)

110年 - 110 國立臺灣科技大學_碩士班招生試題_企業管理系：統計學#111322

試卷資訊

選擇題 (4)

申論題 (14)