Management 119 Midterm 2

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TABLE 6-5

A company producing orange juice buys all of its oranges from a large orange orchard.

The amount of juice that can be squeezed from each of these oranges is approximately

normally distributed with a mean of 4.7 ounces and some unknown standard deviation.

The company’s production manager knows that the probability is 30.85% that a

randomly selected orange will contain less than 4.5 ounces of juice. Also, the

probability is 10.56% that a randomly selected orange will contain more than 5.2

ounces of juice. Answer the following questions without the help of a calculator,

statistical software or statistical table.

Referring to Table 6-5, what is the probability that a randomly selected orange will

contain more than 4.2 ounces of juice?

TABLE 3-6

The rate of return of an Internet Service Provider over a 10-year period are: 10.25%,

12.64%, 8.37%, 9.29%, 6.23%, 42.53%, 29.23%, 15.25%, 21.52%, -2.35%.

Referring to Table 3-6, what is the shape of the distribution for the rate of return?

TABLE 13-10

The management of a chain electronic store would like to develop a model for

predicting the weekly sales (in thousands of dollars) for individual stores based on the

number of customers who made purchases. A random sample of 12 stores yields the

following results:

Referring to Table 13-10, what are the degrees of freedom of the F test statistic when

testing whether the number of customers who make purchases is a good predictor for

weekly sales?

TABLE 5-10

An accounting firm in a college town usually recruits employees from two of the

universities in town. This year, there are fifteen graduates from University A and five

from University B and the firm decides to hire six new employees from the two

universities.

Referring to Table 5-10, what is the probability that none of the new employees will be

from University A?

Referring to Table 14-15, what is the p-value of the test statistic when

testing whether instructional spending per pupil has any effect on

percentage of students passing the proficiency test, taking into

account the effect of mean teacher salary?

TABLE 14-15

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), mean teacher salary in thousands of dollars

(Salaries), and instructional spending per pupil in thousands of dollars

(Spending) of 47 schools in the state.

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

dependent variable, X1 = Salaries and X2 = Spending:

TABLE 8-7

A hotel chain wants to estimate the mean number of rooms rented daily in a given

month. The population of rooms rented daily is assumed to be normally distributed for

each month with a standard deviation of 240 rooms. During February, a sample of 25

days has a sample mean of 370 rooms.

Referring to Table 8-7, the sampling error of a 99% confidence interval for the mean

number of rooms rented daily in a given month is ________.

TABLE 17-3

A financial analyst wanted to examine the relationship between salary (in $1,000) and 4

variables: age (X1 = Age), experience in the field (X2 = Exper), number of degrees (X3 =

Degrees), and number of previous jobs in the field (X4 = Prevjobs). He took a sample of

20 employees and obtained the following Microsoft Excel output:

SUMMARY OUTPUT

Regression Statistics

ANOVA

Referring to Table 17-3, the predicted salary for a 35-year-old person with 10 years of

experience, 3 degrees, and 1 previous job is ________.

TABLE 5-6

The quality control manager of Green Bulbs Inc. is inspecting a batch of energy saving

compact fluorescent light bulbs. When the production process is in control, the average

number of bad bulbs per shift is 6.0.

Referring to Table 5-6, what is the probability that any particular shift being inspected

has less than 5.0 or more than 8.0 bad bulbs?

TABLE 11-8

An important factor in selecting database software is the time required for a user to

learn how to use the system. To evaluate three potential brands (A, B and C) of database

software, a company designed a test involving five different employees. To reduce

variability due to differences among employees, each of the five employees is trained

on each of the three different brands. The amount of time (in hours) needed to learn

each of the three different brands is given below:

Below is the Excel output for the randomized block design:

Referring to Table 11-8, the among-block variation or SSBL is ________.

TABLE 7-6

Online customer service is a key element to successful online retailing. According to a

marketing survey, 37.5% of online customers take advantage of the online customer

service. Random samples of 200 customers are selected.

Referring to Table 7-6, the standard error of all possible sample proportions is

________.