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In: Statistics and Probability

Managers at all levels of an organisation need adequate information to perform their respective tasks. One...

Managers at all levels of an organisation need adequate information to perform their respective tasks. One study investigated the effect the source has on the dissemination of information. In this particular study the sources of information were a superior, a peer and a subordinate. In each case, a measure of dissemination was obtained, with higher values indicating greater dissemination of information. To verify whether the source of information significantly affects dissemination, you perform the ANOVA test. The following table partially report the results:

Source of Variation

SS

Df

MS

F

p−value

F crit

Between groups

Within groups

2.077

?

?

?

?

2.716

?

?

?

Total

?

149

a) Fill in all the missing results, marked by the symbol ?, using α = 5%

b) Specify the system of hypotheses

c) What is your conclusion, and what does it suggest about the use and dissemination of information?

Solutions

Expert Solution

Result:

Managers at all levels of an organisation need adequate information to perform their respective tasks. One study investigated the effect the source has on the dissemination of information. In this particular study the sources of information were a superior, a peer and a subordinate. In each case, a measure of dissemination was obtained, with higher values indicating greater dissemination of information. To verify whether the source of information significantly affects dissemination, you perform the ANOVA test. The following table partially report the results:

Source of Variation

SS

Df

MS

F

p−value

F crit

Between groups

Within groups

2.077

?

?

?

?

2.716

?

?

?

Total

?

149

a) Fill in all the missing results, marked by the symbol ?, using α = 5%

Source of Variation

SS

Df

MS

F

p−value

F crit

Between groups

2.077

2

1.0385

0.3824

0.6829

3.058

Within groups

399.252

147

2.716

Total

401.329

149

b) Specify the system of hypotheses

Ho: µ1= µ2= µ3

H1: At least one of the mean is different from the others


c) What is your conclusion, and what does it suggest about the use and dissemination of information?

Calculated F value 0.3824 < critical f value 3.058 at 5% level. Ho is not rejected. We conclude that average dissemination of information is not significantly different between the three groups. Therefore source of information does not affects dissemination.

orchestra answered 1 year ago
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