Which of the following statements is true?
Individual observations within each class may be found in a frequency
distribution.
A frequency distribution is a listing of the individual observations
arranged in ascending or descending order.
A bimodal histogram is one with two or more peaks equal in height.
The sun of cumulative frequencies in a distribution always equals 1.
None of above.
Which of the following statements is not true regarding graphical
deception?
Perceptive is often distorted if percentage changes, rather than only
absolute changes, are reported.
Illusions can be created with bar charts by stretching or shrinking the
vertical or horizontal axis.
The first thing to watch for is a graph without a scale on one axis.
Some distortions should be watched for particularly in pictograms,
which replace the bars with pictures of objects (such as bags of money,
people, or animals) to enhance the visual appeal.
None of above.
Suppose you make a 2-year investment of $2,500 and it grows by 100% to
$5,000 during the first year. During the second year, however, the
investment suffers a 50% loss from $5,000 back to $2,500. What are the
arithmetic mean and the geometric mean?
50% and 25%
25% and 25%
0% and 50%
25% and 50%
None of above.
The following data represent the weights in pounds of a sample of 25
workers: 164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162,
174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171. Determine the
location and value of the 60th percentile of the weights.
In the range [140,150)
In the range [150,160)
In the range [160,170)
In the range [170,180)
None of above.
Which of the following is not a characteristic of a binomial experiment?
There is a sequence of identical trials.
Each trial results in two or more outcomes.
The trials are independent of each other.
Probability of success p is the same from one trial to another.
None of above.
The Central Limit Theorem states that
for a large n , the population is approximately normal.
for any population, the sampling distribution of the sample mean is
approximately normal, regardless of the shape of the population.
for a large n , the sampling distribution of the sample mean is
approximately normal, regardless of the shape of the population.
for any sample size, the sampling distribution of the sample mean is
approximately normal.
None of above.
Which of the following statements is correct?
The larger the confidence level used in constructing a confidence
interval estimate of the population mean, the narrower the confidence
interval.
The width of the confidence interval estimate of the population mean
μ is a function of only two quantities: the population standard
deviation σ and the sample size n .
In order to construct a confidence interval estimate of the population
mean, the value of the population mean is needed.
In determining the sample size n needed to estimate the population
mean, n decreases as the population standard deviation σ
decreases.
None of above.
Domino’s Pizza in Big Rapids, Michigan, advertises that they deliver your
pizza within 15 minutes of placing an order or it is free. A sample of 25
customers is selected at random. The average delivery time in the sample
was 13 minutes with a sample standard deviation of 4 minutes. Test to
determine if we can infer at the 5% significance level that the population
mean is less than 15 minutes.
Do not reject the null hypothesis. There is significant evidence to infer
at the 5% significance level that the population mean is less than 15
minutes.
Reject the null hypothesis. There is significant evidence to infer at the
5% significance level that the population mean is less than 15 minutes.
Do not reject the null hypothesis. There is not enough evidence to infer
at the 5% significance level that the population mean is less than 15
minutes.
Reject the null hypothesis. There is not enough evidence to infer at the
5% significance level that the population mean is less than 15 minutes.
None of above.
Reject the null hypothesis. There is significant evidence to infer at the
5% significance level that the reading scores have improved.
Do not reject the null hypothesis. There is significant evidence to infer
at the 5% significance level that the reading scores have improved.
Reject the null hypothesis. There is not enough evidence to infer at the
5% significance level that the reading scores have improved.
Do not reject the null hypothesis. There is not enough evidence to infer
at the 5% significance level that the reading scores have improved.
None of above.
Three tennis players, a beginner, an intermediate, and advanced, have
been randomly selected from the membership of a racquet facility club in a
large city. Using the same tennis ball, each player hits ten serves, one with
each of three racquet models, with the three racquet models selected
randomly. The speed of each serve is measured with a machine and the
result recorded. Among the models listed below, the most likely model to fit
this situation is the:
One-way ANOVA.
Two-way ANOVA.
Randomized block design.
Matched-pairs model.
None of the above.
A survey will be conducted to compare the grade point averages of high
school students from four different school districts. Students are to be
randomly selected from each of the four districts and their grade point
averages recorded. The ANOVA model most likely to fit this situation is:
One-way ANOVA.
Two-way ANOVA.
Randomized block design.
Complete 4x4 factorial design.
None of the above.
Which one of the following statements is true?
The equation: SS(Total) = SS(A) + SS(B) + SS(AB) + SSE, applies to
one-way ANOVA model.
The sum of squares for error is also known as the between-treatments
variation.
In employing the randomized block design, the primary interest lies in
reducing sum of squares for blocks (SSB).
In a two-way ANOVA, there are 4 levels for factor A, and 2 levels for
factor B, and 3 observations within each cell. The number of
treatments in this experiment will be 24.
None of above.
Do not reject the null hypothesis. The ages of teachers are the same.
Reject the null hypothesis. The ages of teachers are the same.
Do not reject the null hypothesis. The ages of teachers are significantly
different.
Reject the null hypothesis. The ages of teachers are significantly
different.
None of above.
Friedman test.
Kruskal-Wallis test.
Wilcoxon sign rank test.
Wilcoxon rank sum test.
Run test.
In a Wilcoxon signed rank sum test for matched pairs with n = 32 , the
rank sums of the positive and negative differences are 367.5 and 160.5,
respectively. The value of the standardized test statistic z is:
3.764
1.882
1.391
1.935
None of the above.
For which of the following values of the smoothing constant w will the
smoothed series catch up most quickly whenever the original time series
changes direction?
0.9
0.8
0.5
0.4
0.1
Which one of the following statements is true?
In trend analysis, the independent variable is time only if the equation
is linear.
The number of time periods in centered moving average is always even.
If the seasonal index for December sales is 120, this means that
December sales tend to be 120% as high as the “average” month.
The cyclical component of a time series refers to repeating patterns
that have a period of a year or less.
None of the above.
After estimating a trend model for annual time-series data, you obtain the
following residual plot against time. The problem with your model is that:
the seasonal component has not been accounted for.
the cyclical component has not been accounted for.
the trend component has not been accounted for.
the irregular component has not been accounted for.
None of the above.
The quarterly earnings of a large microcomputer company have been
recorded for the years 2001-2004. These data (in millions of dollars) are
shown in the accompanying table. Use an appropriate moving average to
measure the quarterly variation by computing the seasonal (quarterly)
indexes.
The Seasonal Indexes for the four quarters are (0.873, 1.050, 1.240,
0.849)
The Seasonal Indexes for the for quarters are (0.851, 1.066, 1.239,
0.865)
The Seasonal Indexes for the four quarters are (0.845, 1.046, 1.240,
0.849)
The Seasonal Indexes for the four quarters are (0.856, 1.054, 1.250,
0.848)
None of the above.
The forecast for 2004 is (303.030, 291.480, 301.887, 302.663)
The forecast for 2004 is (348.426, 352.579, 356.732, 360.885)
The forecast for 2004 is (260.32, 322.571, 498.632, 265.21)
The forecast for 2004 is (241.459, 314.5, 567.204, 298.091)
None of the above.
Please write down the testing hypotheses.
Please choose the testing method, compute the test statistics, and make
conclusion.
Is there sufficient evidence at the 5% significance level to infer that
different injection procedures results in different reaction to the three
headache patients?
Is there sufficient evidence at the 5% significance level to infer that
different drugs causes different reaction to the three headache patients?
Is there sufficient evidence at the 5% significance level to infer that two
different drugs cause different effectiveness of the different injections?
(1) Please compute the three year moving average sales. (2%)
(2) Please compute the exponentially smoothed sales with α = 0.9 . (2%)
(3) Use MAPE to compare the results of (1) and (2). (3%)
Note
Please compute the exponentially smoothed sales with α = 0.9 .
Use MAPE to compare the results of (1) and (2).
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