Each of Jack and Jill regressed y (dependent variable) on X (independent
variable). However, they came up with different fitted lines. To make
comparison, ________ in the analysis of variance table (excluding p-value,
F-value, and adjusted R2 ) can be used to find the best one. (5%)
Because of high production-changeover time and costs, a director of
manufacturing must convince management that a proposed manufacturing
method reduces costs before the new method can be implemented. The
current production method operates with a mean cost of $220 per hour (μ ) .
A research study is to be conducted in which the cost of the new method
will be measured over a sample production period. The null hypothesis for
this study is ________. (5%)
In a clinical study, ADL is an instrument designed to assess severity of
patient’s disability. There are 4 patients and 3 raters who used ADL to
assess patient disability in this study. Each patient was evaluated by 3
raters simultaneously in the admission of medical hospital in Canada. The
ADL total scores are shown below:
One-way ANOVA using subject as the factor was performed. SST (total
variance), SSB (between-group variance), and SSW (within-group variance)
were calculated as sum of squares in the analysis of variance table. The
sum of square measuring the consistency among raters is ________. (5%)
David is interested in buying one of stocks A and B. The annual rate of
return on stock A is normally distributed with mean of 14.5% and standard
deviation of 3%. The quarterly rate of return on stock B is also normally
distributed with mean of 2.25% and standard deviation of 2%. Assume that
four quarterly rate of returns in a year are independent. The probability
that the annual rate of return for stock A is greater than the annual rate of
return for stock B is ________. (5%)
A state highway patrol periodically samples vehicle speeds at various
locations on a particular highway system into order to test vehicle speeds
H0 : μ ≤ 65 vs Ha : μ > 65 . Sample of 36 vehicles will be selected and the
population standard deviation is assumed to be 3 miles per hour. With 0.05
level of significance, the probability of making a Type II error when the
actual mean speed is 70 miles per hour is ________. (10%)
In order to predict Y using X , a linear regression line is fitted. To
determine whether the slope is significantly different from zero with
α = 0.05 , the value for t statistic is ________. (10%)
Consider the following statistical measures: (i) Percentile (ii) Variance (iii)
Range (iv) Quartile (v) Mode (vi) Interquartile (vii) Midrange. What of
the following can be used to indicated how your data spread out?
ii, iii
i, iv, vi
i, iv
ii, iii
ii, iii, vi.
Let A and B be two events such that P[A ∪ B] = 0.6 , P[A ∩ B] = 0.1 ,
PAc ] = 0.7 . What is the probability of A conditioning on the occurrence of
B ?
0
0.2
0.5
0.333
0.25
Let A and B be two events. Consider the following statements:
(i) P[A ∩ B] = 0 means that A and B are independent. (ii) If A and
B are independent, then A and B are mutually exclusive. (iii) If A
and B are mutually exclusive, then A and B are independent. (iv) If
A and B are independent, then Ac and B are independent. (v) If A
and B are mutually exclusive, then Ac and B are mutually exclusive.
Choose a true statement.
iv
v
ii
All of the above is true.
None of the above is true.
Suppose we are interested in knowing the average income of a newly
graduated student. Suppose the variation of this target population is
unknown. Select a random sample (measured in thousands NT dollars)
that can provide the best information about the average income of the
target population.
30
28, 32
27, 30, 33
29, 29, 31, 31
All of the above.
The employee’s transportation time from home to office is exponentially
distributed with mean of 0.5 hour is a company. (155)
(a) Verify that the probability of an employee’s transportation time from
home to office exceeding one hour is 0.135. [Note: r e = 2.718 .] (5%)
(b) If 100 employees are observed, find the approximate probability that
less than 10 of them having transportation time exceeds one hour. (10%)
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