Question 1 (4 points) A restaurant manager is developing a clientele profile. Some of the information for the profile follows:

Size: px

Start display at page:

Download "Question 1 (4 points) A restaurant manager is developing a clientele profile. Some of the information for the profile follows:"

Samson Houston
5 years ago
Views:

1 QUATITATIVE METHODS Marti Huard September 30, 004 Mid-term Eam Part SOLUTIOS You are to awer all quetio o the eam quetioaire itelf. For quetio requirig calculatio, a complete olutio i epected i the pace provided. Quetio 1 (4 poit) A retaurat maager i developig a clietele profile. Some of the iformatio for the profile follow: a) High School Average Ratio b) Program (Social Sciece, Commerce, ect..) omial For the iformatio i part (a) ad (b) lit the level of meauremet (omial, ordial, iterval or ratio). Quetio (4 poit) Idetify each of the followig ample by amig the amplig techique ued (cluter, coveiece, imple radom, tratified, ytematic). a) Divide the uer of the computer olie ervice Iteret ito differet age group ad the elect a radom ample from each age group to urvey about the amout of time they are coected to Iteret each. Stratified b) Meaure the legth of time every fifth pero comig ito a bak wait for teller ervice over a period of two day. Sytematic Quetio 3 (3 poit) Select the mot likely value for the coefficiet of liear correlatio for the paired data repreeted by the followig catter diagram. (Circle your awer) a) r 1 b) r 0.9 c) r 0.1 d) r 0 e) r f) r g) r - 1 y Scatter Diagram

2 Mid-term Eam Part - Solutio Quetio 4 (3 poit) I the followig ituatio, two variable are decribed. Select the mot likely value for the coefficiet of liear correlatio for the two variable from amog thoe give. the height i cm of SLC tudet y the IQ (itelligece) of thee SLC tudet A) r 0.91 B) r 0.55 C) r -0.0 D) r Quetio 5 (4 poit) Coider the followig two et of meauremet: A - The daily temperature iide a hoppig ceter durig the moth of May to October. B - The daily temperature outide durig the moth of May to October. If the mea tadard deviatio for both et of meauremet wa calculated, which of the two would have the highet tadard deviatio (aumig the average temperature wa 0 o C for both group)? Eplai your awer. B ice there i more variatio i the temperature outide the i the temperature iide, ice the latter i kept more or le cotat. Quetio 6 (6 poit) I a tudy o itelligece, a pychologit meaured the IQ of 0 childre choe at radom. The reult are ummarized i the followig frequecy ditributio. Fid the mea. IQ core Frequecy Midpoit f 70 to to to to Total 0 00 f Fall 004 Marti Huard

3 Mid-term Eam Part - Solutio Quetio 7 (6 poit) The hourly wage (i dollar) for the 0 employee i a mall compay are a) Fid the mode. Mode 9 $/hour b) Fid the third quartile Q Q3 $/hour Quetio 8 (6 poit) A ur cotai 15 marble idetical i every repect ecept color. There are 6 gree marble, 4 blue marble, 3 yellow marble ad pik marble. a) If a marble i picked at radom from the ur, what i the probability that it i gree? 6 P( G ) 15 5 b) If two marble are draw from the ur, but the firt marble i replaced before drawig the ecod, what i the probability that both marble are gree P( GG 1 ) P( G1) P( G) Quetio 9 (9 poit) The Studet Coucil i a College did a urvey of 500 tudet regardig the atifactio of the activitie orgaized by the coucil accordig to the year of tudy. 1 t year d year 3 rd year or more Total Satified eutral ot Satified Total If a tudet from the urvey i elected at radom, what i the probability that the tudet i a) atified 337 P( S ) 500 b) a firt year tudet ad i atified t P( 1 ad S ) c) i atified give that he i a firt year tudet t 145 P( S 1 ) 16 Fall 004 Marti Huard 3

4 Mid-term Eam Part - Solutio Quetio 10 (3 poit) The followig i a tatitical ummary of the umber of CD owed a reported by 50 tudet at SLC. Mi 0 Mode 1 Q 1 30 Mea 75 Media 50 Rage 500 Q Variace 900 Ma 500 Stadard deviatio 30 Approimately how may tudet ow omewhere betwee 30 ad 50 CD? Sice Q 1 30 ad Media 50, the 5% of the tudet ow betwee 30 ad 50 CD, 5% of Hece 63 tudet ow omewhere betwee 30 ad 50 CD. Quetio 11 (9 poit) Here i the umber of book read by 4 CEGEP tudet, choe at radom, durig the lat moth a) Fid the mea book 4 b) Fid the variace. ( ) book c) Fid the tadard deviatio book Fall 004 Marti Huard 4

5 Mid-term Eam Part - Solutio ( ) 1 1 ( ) 1 Formula Sheet µ σ ( µ ) ( ) f ( ) 1 f f ( f ) 1 CV CV σ µ y a+ b r b y a y b y y ( )( y) y y ( ) Fall 004 Marti Huard 5

I. Measures of Central Tendency: -Allow us to summarize an entire data set with a single value (the midpoint).

I. Measures of Central Tendency: -Allow us to summarize an entire data set with a single value (the midpoint). I. Meaure of Cetral Tedecy: -Allow u to ummarize a etire data et with a igle value (the midpoit.. Mode : The value (core that occur mot ofte i a data et. -Mo x Sample mode -Mo Populatio mode. Media : the