statistics

As a marketing analyst for Imperial Products, your task is to determine if a new product is worth marketing nationwide. The director of marketing has stated that at least 85percent of the public must express some desire for the product and, for those who exhibit an interest, the average cost they are willing to pay must be at least $47.50. The director insists that you be 95 percent certain of your findings.

To respond to the directorƒ­s request, you survey 50 potential consumers regarding their interest in the product. Thirty-four express an interest in purchasing it. The maximum price each would be willing to pay is shown below. How would you reply to the directorƒ­s request for information? Should the product be marketed? How large should the sample be if you want to maintain a 95 percent level of confidence and suffer a maximum error of $2.00 in your estimate of the highest price consumers are willing to pay?
______________________________________

Maximum Prices
______________________________________

47 62 46
43 53 34
54 45 35
65 36 32
54 45 31
34 36 25
38 37 56
35 43 65
43 48 54
37 46 65
54 42 47
63
_______________________________________

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