Question

1. 28-32. A manufacturer of an air compressor and tire pump wants to test two possible point-of-purchase displays. The product is sold through independent auto parts stores, which vary greatly in sales volume. A total of 30 stores agree to feature the display for one month. The stores are matched on the basis of annual sales volume. One of the two largest stores is randomly chosen to receive display A; the other receives B. The same thing is done for the third and fourth largest stores, and so on down to the two smallest. Sales for the 1-month period are recorded in the table below. Do the data indicate that display A yields to a higher sales level than display B? Use α= .01 .

   Display A	Display B
   46	37
   39	42
   40	37
   37	38
   32	27
   26	19
   21	20
   23	17
   20	20
   17	12
   13	12
   15	9
   11	7
   8	2
   9	6

   Descriptive statistics for two-sample test

   Variable	N	Mean	StDev
   Display A	15	23.80	12.33
   Display B	15	20.33	13.04

   Descriptive statistics for paired test

   Variable	N	Mean	StDev
   Display A - Display B	15	3.467	3.314

     

   28.                   The following test should be used.

   		two-sample test
   		paired test
   		z-test about a mean
   		t-test about a mean

3.125 points   

QUESTION 29

1. 29.                   Set up the appropriate hypotheses for this test.

   		H0 : μ1=μ2 versus Ha : μ1<μ2
   		H0 : μ1=μ2 versus Ha : μ1>μ2
   		H0 : μ1=μ2 versus Ha : μ1≠μ2
   		H0 : μd=0 versus Ha : μd>0
   		H0 : μd=0 versus Ha : μd<0

3.125 points   

QUESTION 30

1. 30.                   What is the value of test statistic? Round your answers to three decimal places.

   2.668

   -.749

   .749

   4.052

   -4.052

3.125 points   

QUESTION 31

1. 31.                   What is the rejection region?

   		[2.624, +∞]
   		[2.326, +∞]
   		[-∞, -2.624]
   		[-∞, -2.977] U[2.977, +∞]
   		[-∞, -2.576] U[2.576, +∞]

3.125 points   

QUESTION 32

1. 32.                   What is your conclusion?

   		Accept Ha, display A yields to a higher sales level than display B
   		Reject Ha, display A does not yields to a higher sales level than display B
   		Accept Ha, display A yields to a lower sales level than display B
   		Reject Ha, display A yields to a lower sales level than display B
   		Accept Ha, there is no difference in yields between two displays