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11. DIFFERENCE OF VARIANCES The new general manager of a classical music radio station believed that...

11. DIFFERENCE OF VARIANCES

The new general manager of a classical music radio station believed that a new playlist would attract listeners from wider range of ages. Two random samples were taken before and after the new playlist was adopted. Information on the ages of the listeners in the sample are summarized below:

Test, at the 10% level of significance, whether the data provide sufficient evidence to conclude that the new

Playlist has a larger standard deviation than the old playlist?

                                                               Number of listeners         Standard Deviation

Old Playlist

21

7.2

New Playlist

16

8.5

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