AMS 5 Chapter 17: Chapter 17 Review Exercises

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peachsea-lion643

19 May 2017

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UCSC

Department

Applied Math and Statistics

Course

AMS 5

Professor

Yonatan Katznelson

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AMS 5 Full Course Notes

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Chapter 17, #1, 4, 5, 7, 8, 10, 11, 13. The sum is between 650 and 750 with a chance of about. 90%; avg = 42/6 = 7 sd = ((36+1+0+4+4+9)/7)1/2 = 2. 777 se = 10*2. 777 = 27. 77; Each one rolls a die 180 times, and counts the number of aces. 99%; 180/6 = 30 expected, se = (180)1/2*(1/6*5/6)1/2 = 251/2 = 5 45-30 = 15; 3 ses. A die will be thrown some number of times, and the object is to guess the total number of spots. There is a one-dollar penalty for each spot that the guess is off. For instance, if you guess 200 and the total is 215, you lose . 50 throws, since the range of values will be smaller. One hundred draws will be made at random with replacement from the box. If the sum of the draws is 321, what is their average? (b) (c)

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pleasee helpp

For this scenario, the manager at Shooters needs to know how advertising will effect customer turn out. In other words, how much should he spend each week in order to get the biggest return on his money. To that end, the manager at Shooters also recorded data relating how much he spent on weekly advertisements, such as fliers and commercials, with how many customers he had each week.

Week	Ad $, a	People, q	Week	Ad $, a	People, q	Week	Ad $, a	People, q
1	$ 50	112	19	$ -	81	37	$ 200	195
2	$ 150	182	20	$ 300	190	38	$ 300	205
3	$ 200	188	21	$ 150	176	39	$ 250	193
4	$ 200	184	22	$ 50	127	40	$ 100	147
5	$ 150	167	23	$ 200	187	41	$ 50	123
6	$ -	77	24	$ 200	189	42	$ 250	191
7	$ 150	173	25	$ 300	203	43	$ 50	120
8	$ -	71	26	$ 150	168	44	$ -	89
9	$ 100	149	27	$ 100	153	45	$ 300	198
10	$ 200	193	28	$ 200	194	46	$ 200	189
11	$ 250	191	29	$ 200	182	47	$ -	82
12	$ 100	146	30	$ 250	200	48	$ -	87
13	$ 100	155	31	$ 50	125	49	$ -	76
14	$ 150	177	32	$ 300	189	50	$ 100	159
15	$ 50	124	33	$ 150	173	51	$ 50	121
16	$ 150	177	34	$ 300	205	52	$ 50	120
17	$ 100	148	35	$ 200	182
18	$ -	76	36	$ -	80

) Use this data to determine a model that describes the number of people q who come to Shooters as a quadratic function of the amount of money spent on ads.

Give a graph of the customer versus advertising data. Then state the formula that expresses how many customers he can expect based on advertising expenses, q(a).

2) Use the derivative of the quadratic function you found in question 1 to determine what amount should be spent on advertising each week in order for Shooters to achieve a maximum number of customers? How many customers would come if the owner spent the maximum on advertising?

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AMS 5 Chapter 17: Chapter 17 Review Exercises

AMS 5 Full Course Notes

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