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TABLE 16-13
Given below is the monthly time-series data for U.S. retail sales of building materials
over a specific year.
The results of the linear trend, quadratic trend, exponential trend, first-order
autoregressive, second-order autoregressive and third-order autoregressive model are
presented below in which the coded month for the 1st month is 0:
Linear trend model:
Quadratic trend model:
Exponential trend model:
First-order autoregressive:
Second-order autoregressive:
Third-order autoregressive:
Below is the residual plot of the various models:
Referring to Table 16-13, what is the exponentially smoothed value for the 12th month
using a smoothing coefficient of W = 0.25 if the exponentially smooth value for the 10th
and 11th month are 9,477.7776 and 9,411.8332, respectively?
TABLE 16-4
The number of cases of merlot wine sold by a Paso Robles winery in an 8-year period
follows.
Referring to Table 16-4, a centered 3-year moving average is to be constructed for the
wine sales. The moving average for 2009 is ________.
TABLE 5-1
The probability that a particular type of smoke alarm will function properly and sound
an alarm in the presence of smoke is 0.8. You have 2 such alarms in your home and they
operate independently.
Referring to Table 5-1, the probability that neither sound an alarm in the presence of
smoke is ________.
TABLE 7-2
The mean selling price of new homes in a small town over a year was $115,000. The
population standard deviation was $25,000. A random sample of 100 new home sales
from this city was taken.
Referring to Table 7-2, what is the probability that the sample mean selling price was
more than $110,000?
TABLE 3-2
The data below represent the amount of grams of carbohydrates in a serving of
breakfast cereal in a sample of 11 different servings.
Referring to Table 3-2, the first quartile of the carbohydrate amounts is ________
grams.
TABLE 9-10
A manufacturer produces light bulbs that have a mean life of at least 500 hours when
the production process is working properly. Based on past experience, the population
standard deviation is 50 hours and the light bulb life is normally distributed. The
operations manager stops the production process if there is evidence that the population
mean light bulb life is below 500 hours.
Referring to Table 9-10, if you select a sample of 100 light bulbs and are willing to have
a level of significance of 0.05, the probability of the operations manager failing to stop
the process when the process is not working properly is ________ if the population
mean bulb life is 490 hours.
TABLE 17-10
Given below are results from the regression analysis where the dependent variable is
the number of weeks a worker is unemployed due to a layoff (Unemploy) and the
independent variables are the age of the worker (Age), the number of years of education
received (Edu), the number of years at the previous job (Job Yr), a dummy variable for
marital status (Married: 1 = married, 0 = otherwise), a dummy variable for head of
household (Head: 1 = yes, 0 = no) and a dummy variable for management position
(Manager: 1 = yes, 0 = no). We shall call this Model 1. The coefficient of partial
determination ( ) of each of the 6 predictors are, respectively,
0.2807, 0.0386, 0.0317, 0.0141, 0.0958, and 0.1201.
Model 2 is the regression analysis where the dependent variable is Unemploy and the
independent variables are Age and Manager. The results of the regression analysis are
given below:
Referring to Table 17-10, Model 1, what is the p-value of the test statistic when testing
whether age has any effect on the number of weeks a worker is unemployed due to a
layoff while holding constant the effect of all the other independent variables?
