OBHR 341 | Course Paper

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TABLE 13-13

In this era of tough economic conditions, voters increasingly ask the question: “Is the

educational achievement level of students dependent on the amount of money the state

in which they reside spends on education?” The partial computer output below is the

result of using spending per student ($) as the independent variable and composite score

which is the sum of the math, science and reading scores as the dependent variable on

35 states that participated in a study. The table includes only partial results.

Referring to Table 13-13, the regression mean square (MSR) of the above regression is

________.

TABLE 17-12

The marketing manager for a nationally franchised lawn service company would like to

study the characteristics that differentiate home owners who do and do not have a lawn

service. A random sample of 30 home owners located in a suburban area near a large

city was selected; 15 did not have a lawn service (code 0) and 15 had a lawn service

(code 1). Additional information available concerning these 30 home owners includes

family income (Income, in thousands of dollars), lawn size (Lawn Size, in thousands of

square feet), attitude toward outdoor recreational activities (Attitude 0 = unfavorable, 1

= favorable), number of teenagers in the household (Teenager), and age of the head of

the household (Age).

The Minitab output is given below:

Referring to Table 17-12, what is the p-value of the test statistic when testing whether

LawnSize makes a significant contribution to the model in the presence of the other

independent variables?

TABLE 17-8

The superintendent of a school district wanted to predict the percentage of students

passing a sixth-grade proficiency test. She obtained the data on percentage of students

passing the proficiency test (% Passing), daily mean of the percentage of students

attending class (% Attendance), mean teacher salary in dollars (Salaries), and

instructional spending per pupil in dollars (Spending) of 47 schools in the state.

Following is the multiple regression output with Y = % Passing as the dependent

variable, X1 = % Attendance, X2 = Salaries and X3 = Spending:

Referring to Table 17-8, what is the value of the test statistic to determine whether there

is a significant relationship between the percentage of students passing the proficiency

test and the entire set of explanatory variables?

TABLE 11-11

A student team in a business statistics course designed an experiment to investigate

whether the brand of bubblegum used affected the size of bubbles they could blow. To

reduce the person-to-person variability, the students decided to use a randomized block

design using themselves as blocks.

Four brands of bubblegum were tested. A student chewed two pieces of a brand of gum

and then blew a bubble, attempting to make it as big as possible. Another student

measured the diameter of the bubble at its biggest point. The following table gives the

diameters of the bubbles (in inches) for the 16 observations.

Referring to Table 11-11, the among-block variation or SSBL is ________.

TABLE 16-5

The number of passengers arriving at San Francisco on the Amtrak cross-country

express on 6 successive Mondays were: 60, 72, 96, 84, 36, and 48.

Referring to Table 16-5, the number of arrivals will be exponentially smoothed with a

smoothing constant of 0.25. The smoothed value for the third Monday will be

________.

TABLE 5-2

A certain type of new business succeeds 60% of the time. Suppose that 3 such

businesses open (where they do not compete with each other, so it is reasonable to

believe that their relative successes would be independent).

Referring to Table 5-2, the probability that at least 1 business succeeds is ________.

TABLE 13-4

The managers of a brokerage firm are interested in finding out if the number of new

clients a broker brings into the firm affects the sales generated by the broker. They

sample 12 brokers and determine the number of new clients they have enrolled in the

last year and their sales amounts in thousands of dollars. These data are presented in the

table that follows.

Referring to Table 13-4, suppose the managers of the brokerage firm want to construct

n a 99% prediction interval for the sales made by a broker who has brought into the

firm 18 new clients. The t critical value they would use is ________.

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 = 0.5 if the exponentially smooth value for the 10th

and 11th month are 9,746.3672 and 9,480.1836, respectively?

Suppose A and B are events where P(A) = 0.4, P(B) = 0.5, and P(A and B) = 0.1. Then

P(B|A) = ________.