04 Jun ESTIMATE WITH95% CONFIDENCE THE DIFFERENCE INMEAN TIME LISTENING TO FM RADIO BETWEEN THETWO AGE GROUPS
In assessing the value of radio advertise-ments, sponsors consider not only the total number oflisteners but also their ages. The18 to 34 age group isconsidered to spend the most money. To examine theissue, the manager of an FM station commissioned asurvey. One objective was to measure the difference inlistening habits between the18 to 34 age and 35 to 50age groups. The survey asked 250 people in each agecategory how much time they spent listening to FMradio per day. The results (in minutes) were recordedand stored in stacked format (column1=Agegroupandcolumn2=Listeningtimes).a. Can we conclude that a difference exists betweenthe two groups?b. Estimate with95% confidence the difference inmean time listening to FM radio between thetwo age groups.c. Are the required conditions satisfied for thetechniques you used in parts (a) and (b)?
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