Question
In: Statistics and Probability
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a...
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a manager who wishes to compare the effectiveness of two methods for training new salespeople. The authors describe the situation as follows:
The company selects 22 sales trainees who are randomly divided into two equal experimental groups—one receives type A and the other type B training. The salespeople are then assigned and managed without regard to the training they have received. At the year’s end, the manager reviews the performances of salespeople in these groups and finds the following results:
| A Group | B Group | |
| Average Weekly Sales | x⎯⎯1x¯1 = $1,334 | x⎯⎯2x¯2 = $1,174 |
| Standard Deviation | s1 = 225 | s2 = 282 |
(a) Set up the null and alternative hypotheses needed to attempt to establish that type A training results in higher mean weekly sales than does type B training.
H0: µA ?
µB ? versus
Ha: µA ?
µB >
(b) Because different sales trainees are assigned to the two experimental groups, it is reasonable to believe that the two samples are independent. Assuming that the normality assumption holds, and using the equal variances procedure, test the hypotheses you set up in part a at level of significance .10, .05, .01 and .001. How much evidence is there that type A training produces results that are superior to those of type B? (Round your answer to 3 decimal places.)
| t = |
| (Click to select) Do not reject Reject H0 with ? equal to .10. |
| (Click to select) Do not reject Reject H0 with ? equal to .05 |
| (Click to select) Reject Do not reject H0 with ? equal to .01 |
| (Click to select) Reject Do not reject H0 with ? equal to .001 |
| (Click to select) Extremely strong Weak Strong Very strong No evidence that µA ? µ B > 0 |
(c) Use the equal variances procedure to calculate a 95 percent confidence interval for the difference between the mean weekly sales obtained when type A training is used and the mean weekly sales obtained when type B training is used. Interpret this interval. (Round your answer to 2 decimal places.)
Confidence interval [ , ]
Solutions
orchestra answered 1 year agoRelated Solutions
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a...
In the book Business Research Methods, Donald R. Cooper and C.
William Emory (1995) discuss a manager who wishes to compare the
effectiveness of two methods for training new salespeople. The
authors describe the situation as follows: The company selects 22
sales trainees who are randomly divided into two equal experimental
groups—one receives type A and the other type B training. The
salespeople are then assigned and managed without regard to the
training they have received. At the year’s end,...
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a...
In the book Business Research Methods, Donald R. Cooper and C.
William Emory (1995) discuss a manager who wishes to compare the
effectiveness of two methods for training new salespeople. The
authors describe the situation as follows: The company selects 22
sales trainees who are randomly divided into two equal experimental
groups—one receives type A and the other type B training. The
salespeople are then assigned and managed without regard to the
training they have received. At the year’s end,...
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a...
In the book Business Research Methods, Donald R. Cooper
and C. William Emory (1995) discuss a manager who wishes to compare
the effectiveness of two methods for training new salespeople. The
authors describe the situation as follows:
The company selects 22 sales trainees who are randomly divided
into two equal experimental groups—one receives type A and the
other type B training. The salespeople are then assigned
and managed without regard to the training they have received. At
the year’s end,...
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a...
In the book Business Research Methods, Donald R. Cooper
and C. William Emory (1995) discuss a manager who wishes to compare
the effectiveness of two methods for training new salespeople. The
authors describe the situation as follows:
The company selects 22 sales trainees who are randomly divided
into two equal experimental groups—one receives type A and the
other type B training. The salespeople are then assigned
and managed without regard to the training they have received. At
the year’s end,...
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a...
In the book Business Research Methods, Donald R. Cooper
and C. William Emory (1995) discuss a manager who wishes to compare
the effectiveness of two methods for training new salespeople. The
authors describe the situation as follows:
The company selects 22 sales trainees who are randomly divided
into two equal experimental groups—one receives type A and the
other type B training. The salespeople are then assigned
and managed without regard to the training they have received. At
the year’s end,...
In the book Business Research Methods (5th ed.), Donald R. Cooper and C. William Emory discuss...
In the book Business Research Methods (5th ed.), Donald
R. Cooper and C. William Emory discuss studying the relationship
between on-the-job accidents and smoking. Cooper and Emory describe
the study as follows:
Suppose a manager implementing a smoke-free workplace policy is
interested in whether smoking affects worker accidents. Since the
company has complete reports of on-the-job accidents, she draws a
sample of names of workers who were involved in accidents during
the last year. A similar sample from among workers...
In the book Business Research Methods (5th ed.), Donald R. Cooper and C. William Emory discuss...
In the book Business Research Methods (5th ed.), Donald
R. Cooper and C. William Emory discuss a market researcher for an
automaker who is studying consumer preferences for styling features
of larger sedans. Buyers, who were classified as “first-time” buyers
or “repeat” buyers, were asked to express their preference for one
of two types of styling—European styling or Japanese styling. Of 40
first-time buyers, 8 preferred European styling and 32 preferred
Japanese styling. Of 60 repeat buyers, 40 preferred European...
In the book Business Research Methods (5th ed.), Donald R. Cooper and C. William Emory discuss...
In the book Business Research Methods (5th ed.), Donald
R. Cooper and C. William Emory discuss a market researcher for an
automaker who is studying consumer preferences for styling features
of larger sedans. Buyers, who were classified as “first-time”
buyers or “repeat” buyers, were asked to express their preference
for one of two types of styling—European styling or Japanese
styling. Of 40 first-time buyers, 7 preferred European styling and
33 preferred Japanese styling. Of 60 repeat buyers, 42 preferred
European...
In the book Business Research Methods (5th ed.), Donald R. Cooper and C. William Emory discuss...
In the book Business Research Methods (5th ed.), Donald
R. Cooper and C. William Emory discuss studying the relationship
between on-the-job accidents and smoking. Cooper and Emory describe
the study as follows:
Suppose a manager implementing a smoke-free workplace policy is
interested in whether smoking affects worker accidents. Since the
company has complete reports of on-the-job accidents, she draws a
sample of names of workers who were involved in accidents during
the last year. A similar sample from among workers...
In the book Business Research Methods (5th ed.), Donald R. Cooper and C. William Emory discuss...
In the book Business Research Methods (5th ed.), Donald R.
Cooper and C. William Emory discuss studying the relationship
between on-the-job accidents and smoking. Cooper and Emory describe
the study as follows:
Suppose a manager implementing a smoke-free workplace policy is
interested in whether smoking affects worker accidents. Since the
company has complete reports of on-the-job accidents, she draws a
sample of names of workers who were involved in accidents during
the last year. A similar sample from among workers...
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