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AgeGrp,Income 50-59,NA 29-,28038 60+,41526 30-39,NA 60+,NA 30-39,NA 50-59,47674 40-49,NA 40-49,NA 60+,104079 29-,NA 40-49,NA 40-49,26925 50-59,36724 40-49,NA 29-,23255 30-39,57362 29-,24229 30-39,57329 50-59,NA 40-49,NA 30-39,NA 50-59,NA 60+,NA

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A web-based business carried out a survey of its past customers in the following manner. Their database includes age group and email address for everyone in this large population. At random they selected 300 past customers, and emailed a questionnaire to them, with the incentive that a gift card would be provided to anyone who responded. (The cost of providing this incentive was the limiting factor in not being able to select more than 300 past customers.) One of the questionnaire items asked for annual income. The file EmailSurvey.csv linked below gives age group (5 possible categories) for all contacted customers, and the incomes of those who responded. Income is recorded as 'NA' for those not responding. LINK for EmailSurvey.csv (Download the csv file here) (a) Note that the average income of the 171 people who responded is 57263. Using your knowledge and skills in the area of non-response, give a better estimate than this, for the average income of all past customers. Report your answer to the nearest dollar. (b) Give a standard error for your estimate in (a) (also to the nearest dollar). A web-based business carried out a survey of its past customers in the following manner. Their database includes age group and email address for everyone in this large population. At random they selected 300 past customers, and emailed a questionnaire to them, with the incentive that a gift card would be provided to anyone who responded. (The cost of providing this incentive was the limiting factor in not being able to select more than 300 past customers.) One of the questionnaire items asked for annual income. The file EmailSurvey.csv linked below gives age group (5 possible categories) for all contacted customers, and the incomes of those who responded. Income is recorded as 'NA' for those not responding. LINK for EmailSurvey.csv (Download the csv file here) (a) Note that the average income of the 171 people who responded is 57263. Using your knowledge and skills in the area of non-response, give a better estimate than this, for the average income of all past customers. Report your answer to the nearest dollar. (b) Give a standard error for your estimate in (a) (also to the nearest dollar)

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