首頁 > 線上測驗 > 102(101)年研究所統計學歷屆試題(企管所、商研所)(二年期)-XO > 102年國立中山大學企業管理所(甲班丙組)統計學
A graph showing the probability of accepting the lot as a function of the percent of defective in the lot is called
a power curve
a control chart
an operating characteristic curve
None of these alternatives is correct
Normal or natural variations in process outputs that are due purely to chance are
common causes
assignable causes
control causes
None of these alternatives is correct
In multiple regression analysis,
there can be any number of dependent variables but only one independent variable
there must be only one independent variable
the coefficient of determination must be larger than 1
there can be several independent variables, but only one dependent variable
A measure of the effect of an unusual x value on the regression results is called
Cook’s D
Leverage
odd ratio
unusual regression
The adjusted multiple coefficient of determination is adjusted for
the number of dependent variables
the number of independent variables
the number of equations
detrimental situations
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
6 numerator and 20 denominator degrees of freedom
5 numerator and 20 denominator degrees of freedom
5 numerator and 114 denominator degrees of freedom
6 numerator and 20 denominator degrees of freedom
In hypothesis testing,
the smaller the Type I error, the smaller the Type II error will be
the smaller the Type I error, the larger the Type II error will be
Type II error will not be effected by Type I error
the sum of Type I and Type II errors must equal to 1
For a two-tail test, the p-value is the probability of obtaining a value for the test statistic as
likely as that provided by the sample
unlikely as that provided by the sample
likely as that provided by the population
unlikely as that provided by the population
For a lower tail test, the p-value is the probability of obtaining a value for the test statistic
at least as small as that provided by the sample
at least as large as that provided by the sample
at least as small as that provided by the population
at least as large as that provided by the population
The p-value is a probability that measures the support (or lack of support) for the
null hypothesis
alternative hypothesis
either the null or the alternative hypothesis
sample statistic
If a hypothesis is rejected at the 5% level of significance, it
will always be rejected at the 1% level
will always be accepted at the 1% level
will never be tested at the 1% level
may be rejected or not rejected at the 1% level
The degrees of freedom for a contingency table with 10 rows and 11 columns is
100
110
21
90
Given an actual demand of 61, forecast of 58, and an α of .3, what would the forecast for the next period be using simple exponential smoothing?
57.1
58.9
61.0
65.5
For the following time series, you are given the moving average forecast.
The mean squared error equals
0
6
41
164
Consider the following time series.
What is the slope of the linear trend equation?
2.5
2.0
1.0
1.25
Referring to the time series in problem (15), the forecast for period 5 is
10.0
2.5
12.5
4.5
The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to increase sales. To determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 64 days of sales was selected. It was found that the average was $8,300 per day. From past information, it is known that the standard deviation of the population is $1,200.
The correct null hypothesis for this problem is
Referring to problem (17), the p-value is closest to
0.025
0.01
0.0228
0.05
Approximate the binomial probabilities P(12 ≤ X ≤ 18, n = 50, p = 0.3) by the use of normal approximation.
0.7805
0.7596
0.7206
0.7198
are used to test whether a bath soap production process is meeting the standard output of 120 bars per batch. Use a 0.05 level of significance for the test and a planning value of 5 for the standard deviation. Now, if the mean output drops to 117 bars per batch, the firm wants to have a 98% chance of concluding that the standard production output is not being met. How large a sample should be selected?
47
48
45
44
An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. The results are shown below.
We are interested in determining if the accident proportions differ between the two age groups. Let pu represent the proportion under and po the proportion over the age of 18. The null hypothesis is
pu-po≦0
pu-po≧0
pu-po≠ 0
pu-po= 0
Continuing with problem (21), the pooled proportion is
0.305
0.300
0.027
0.450
Having the results of problem (21) to (23), the p-value is
less than 0.001
more than 0.10
0.0228
0.3
The range of the Durbin-Watson statistic is between
−1 to 1
0 to 1
−infinity to + infinity
0 to 4
Shown below is a partial computer output from a regression analysis.
(1) Use the above results and write the regression equation.
(2) Compute the coefficient of determination and fully interpret its meaning.
(3) At α = 0.05 , test to see if there is a relation between X1 and Y .
(4) At α = 0.05 , test to see if there is a relation between X3 and Y .
(5) Is the regression model significant? Perform an F test and let α = 0.05
The following is the incomplete ANOVA table from a completely randomized design consisting of 3 treatments.
Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
Between Treatments |
390.58 | |||
Within Treatments |
158.4 | |||
(Error) | ||||
Total | 548.98 | 23 |
(1) Using α = .05 , test to see if there is a significant difference among the means of the three populations. The sample sizes for the three treatments are equal.
A company attempts to evaluate the potential for a new bonus plan by selecting a sample of 4 salespersons to use the bonus plan for a trial period. The weekly sales volume before and after implementing the bonus plan is shown below. (For the following matched samples, let the difference “d” be d = after-before.)
Weekly Sales
Salesperson | Before | After |
1 | 48 | 44 |
2 | 48 | 40 |
3 | 38 | 36 |
4 | 44 | 50 |
(1) State the hypotheses.
(2) Compute the test statistic.
(3) Use α = .05 and test to see if the bonus plan will result in an increase in the mean weekly sales.
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