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Solve the Problem Is There Sufficient Evidence to Support the Claim That the and D)used

Question 47

Multiple Choice

Solve the problem.
-Four different leadership styles (A, B, C, and D) used by Big-Six accountants were investigated. As part of a designed study, 15 accountants were randomly selected from each of the four leadership style groups (a total of 60 accountants) . Each accountant was asked to rate the degree to which their subordinates performed substandard field work on a 10-point scale -- called the "substandard work scale". The objective is to compare the mean substandard work scales of the four leadership styles. The data on substandard work scales for all 60 observations were subjected to an analysis of variance.

 ONE-WAY ANOVA FOR SUBSTAND BY STYLE  Source  DF  SS  MS  F  P-value  Between Groups 33440.351146.7846.0500.0012 Within Groups 5610,614.86189.551 Total 5914,055.21\begin{array}{l}\text { ONE-WAY ANOVA FOR SUBSTAND BY STYLE }\\\begin{array} { l | c | r | r | r | r } { \text { Source } } & \text { DF } & { \text { SS } } & { \text { MS } } & \text { F } & \text { P-value } \\\hline \text { Between Groups } & 3 & 3440.35 & 1146.784 & 6.050 & 0.0012 \\\text { Within Groups } & 56 & 10,614.86 & 189.551 & & \\\text { Total } & 59 & 14,055.21 & & &\end{array}\end{array}
Is there sufficient evidence to support the claim that the means of the four leadership style groups are not all the same?
Assume that a 0.05 significance level is used.


A) Yes
B) No

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