Question

3. A group of 50,000 tax forms has an average gross income of $37,000, with an SD of $20,000. Furthermore, 20% of the forms have a gross income over $50,000. A group of 900 forms is chosen at random for audit. To estimate the chance that between 19% and 21% of the forms chosen for audit have gross incomes over $50,000, a box model is needed. (a) Should the number of tickets in the box be 900 or 50,000? (b) Each ticket in the box shows a zero or a one a gross income (c) True or false: the SD of the box is $20,000. (d) True or false: the number of draws is 900. (e) Find the chance (approximately) that between 19% and 21% of the forms chosen for audit have gross incomes over $50,000. 372 CHANCE ERRORS IN SAMPLING [CH. 20] (f) With the information given, can you find the chance (approximately) that between 9% and 11% of the forms chosen for audit have gross incomes over $75,000? Either find the chance, or explain why you need more information.

Name: 3 a group of 50000 tax forms has an average gross income of 37000 with an sd of 20000 furthermore 20 of the forms have a gross income over 50000 a group of 900 forms is chosen at random for 19268
Uploaded: 2019-09-27T02:40:27-08:00
Duration: 6 min 6 s
Channel: Bryan Luo
Description: 3 a group of 50000 tax forms has an average gross income of 37000 with an sd of 20000 furthermore 20 of the forms have a gross income over 50000 a group of 900 forms is chosen at random for 19268

          3. A group of 50,000 tax forms has an average gross income of $37,000, with an SD of $20,000. Furthermore, 20% of the forms have a gross income over $50,000. A group of 900 forms is chosen at random for audit. To estimate the chance that between 19% and 21% of the forms chosen for audit have gross incomes over $50,000, a box model is needed.

(a) Should the number of tickets in the box be 900 or 50,000?
(b) Each ticket in the box shows
a zero or a one a gross income

(c) True or false: the SD of the box is $20,000.
(d) True or false: the number of draws is 900.
(e) Find the chance (approximately) that between 19% and 21% of the forms chosen for audit have gross incomes over $50,000.

372 CHANCE ERRORS IN SAMPLING [CH. 20]

(f) With the information given, can you find the chance (approximately) that between 9% and 11% of the forms chosen for audit have gross incomes over $75,000? Either find the chance, or explain why you need more information.

3 a group of 50000 tax forms has an average gross income of 37000 with an sd of 20000 furthermore 20 of the forms have a gross income over 50000 a group of 900 forms is chosen at random for 19268

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