The increase or decrease in the price of a stock between the beginning and the end of a
trading day is assumed to be an equally likely random event.
What is the probability that a stock will show an increase in its closing price every
day ? (5%)
0.3
0.4
0.5
0.6
0.7
The increase or decrease in the price of a stock between the beginning and the end of a
trading day is assumed to be an equally likely random event.
What is the mean number of day that a stock will show an increase in its closing
price on five consecutive days? (5%)
1 day
2 days
2.5 days
3 days
3.5 days
The increase or decrease in the price of a stock between the beginning and the end of a
trading day is assumed to be an equally likely random event.
What is the standard deviation of day that a stock will show an increase in its
closing price on nine consecutive days? (5%)
1 day
1.5 days
2 days
2.5 days
3 days
An advertising researcher is studying television viewing habits of married men and
women during prime time hours. The researcher has found that during prime time,
husbands are watching television 60% of the time. In addition, when the husband is
watching television, 40% of the time the wife is also watching. When the husband is not
watching television, 30% of the tie the wife is watching television.
Find the probability that if the wife is watching television, the husband is also
watching television. (10%)
0.333
0.667
0.75
0.47
An advertising researcher is studying television viewing habits of married men and
women during prime time hours. The researcher has found that during prime time,
husbands are watching television 60% of the time. In addition, when the husband is
watching television, 40% of the time the wife is also watching. When the husband is not
watching television, 30% of the tie the wife is watching television.
Find the probability that the wife is watching television in prime time. (5%)
0.12
0.24
0.36
0.48
0.5
Autos arrive at a tollbooth located at the entrance to a bridge at the rate of 50 per minute
during the 5:00-6:00 P.M. hour.
What is the mean time between arrivals? (second) (5%)
1.1
1.2
2.1
2.2
3.1
Autos arrive at a tollbooth located at the entrance to a bridge at the rate of 50 per minute
during the 5:00-6:00 P.M. hour.
What is the probability that the next auto arrives within 3 seconds? (5%)
Which one of the following statements is true? (10%)
The significance level α is the probability of occurrence of a type II error.
The power of a statistical test is the probability of rejecting the null hypothesis
when in fact it is false.
A bank with two branches located in commercial and residential districts of a city
respectively. The bank manager has developed an improved process for servicing
customer during the peak period, from the noon to 1P.M. Two random samples of 15
customers’ waiting time are selected respectively from these two branches. The
calculated data are as follows: The mean waiting time of commercial district is 4.29
(minute), while that of residential area is 7.11; the standard deviation of waiting time of
commercial district is 1.64 (minute), while that of residential area is 2.08.
The variance of waiting time in the commercial branch is longer.
The variance of waiting time in the residential branch in longer.
Indifferent
A bank with two branches located in commercial and residential districts of a city
respectively. The bank manager has developed an improved process for servicing
customer during the peak period, from the noon to 1P.M. Two random samples of 15
customers’ waiting time are selected respectively from these two branches. The
calculated data are as follows: The mean waiting time of commercial district is 4.29
(minute), while that of residential area is 7.11; the standard deviation of waiting time of
commercial district is 1.64 (minute), while that of residential area is 2.08.
Can you make the assumption of equal variance of waiting time for further testing
the difference of mean waiting time between the two branches? (5%)
Yes! And a pooled-variance is needed.
Yes! And separate-variance is needed.
No! But a separate-variance is needed.
No! But a pooled-variance is needed.
indecisive
A bank with two branches located in commercial and residential districts of a city
respectively. The bank manager has developed an improved process for servicing
customer during the peak period, from the noon to 1P.M. Two random samples of 15
customers’ waiting time are selected respectively from these two branches. The
calculated data are as follows: The mean waiting time of commercial district is 4.29
(minute), while that of residential area is 7.11; the standard deviation of waiting time of
commercial district is 1.64 (minute), while that of residential area is 2.08.
Based on the assumption of (二), what is the best estimate of the variance for
t -test in the comparison of the mean waiting time of the two independent samples?
(5%)
2.11
3.32
3.89
3.51
2.53
A bank with two branches located in commercial and residential districts of a city
respectively. The bank manager has developed an improved process for servicing
customer during the peak period, from the noon to 1P.M. Two random samples of 15
customers’ waiting time are selected respectively from these two branches. The
calculated data are as follows: The mean waiting time of commercial district is 4.29
(minute), while that of residential area is 7.11; the standard deviation of waiting time of
commercial district is 1.64 (minute), while that of residential area is 2.08.
The mean waiting time in the commercial branch is significantly longer.
The mean waiting time in the residential branch is significantly longer.
Indifferent.
Which test will you apply to check the relationship between price and pizzeria
selection? (5%)
Z test
t -test
F test
one-way ANOVA test
There is no significant evidence about the relationship between price and brand
choice.
The pizza price has significantly negative influence on the brand choice.
The pizza price has significantly positive influence on the brand choice.
Does the promotion effort increase the sales? (5%)
Yes, but non-significant.
Yes, significantly.
No, not at all
No, negative effect.
Does the higher price pull more sales? (5%)
Yes, but non-significant.
Yes, significantly positive.
No, indifferent.
No, significantly negative.
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