Which method of gathering data would you use in each of the following situations? Justify your choice.

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$1.$ Administration of a questionnaire to determine the number of people who listened to the $100$ Top Country Tunes in $2012,$ a program that aired on December $31,2012.$

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$2.$ Administration of a questionnaire to determine the number of households having a mentally ill individual in the household and the history of mental illness in the family.

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$3.$ Administration of a questionnaire by a national manufacturer of microwave ovens in order to test people$$s attitudes toward a new model. $($

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$4.$ Administration of a questionnaire by a local dry cleaner who wants to determine customers$$ satisfaction with a recent discount promotion.

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$5.$ Administration of a questionnaire by the management of a small local hotel that wants to assess customers$$ opinions of its service