Question

Help with the following problem urget, bellow is the csv data.

Assignment 2: Problem 4 Previous Problem Problem List Next Problem (1 point) A professor in the school of business at a certain university wants to investigate the claim that the prices of new textbooks in the campus store are higher than a competing national online bookstore. The professor randomly chooses required texts for 12 business school courses. The data is given in the table below. Book Number Campus Store Online Store Book 1 153.83 148.66 Book 2 212.21 214.58 Book 3 191.65 191.24 Book 4 142.49 141.73 Book 5 154.71 152.62 Book 6 223.36 224.79 Book 7 93.93 92.87 Book 8 112.21 106.41 Book 9 182.58 185.15 Book 10 179.55 177.33 Book 11 187.51 185.17 Book 12 168.75 167.08 : Download.csv file (a) Let X A denote the price of books at the campus store, and X o be the price of books at the online store, also let Xp = XA - X B. Choose the correct statistical hypotheses. OA. HOND > 0, HAND < 0 OB. Ho: Mcampus= Monting HA: Mcampus Monline OC. Ho: up = 0. HA: UD<0 OD. Ho: MD = 0, HA: UD 0 OE. HO: D = 0 HAND > 0 OF. Ho: Mcampus= Monline HA: Mcampus Honline OG. HO : Mcampus= Honline HA: Mcampus Monline OH. Ho: D = 0, HAND < 0 (b) Carry out the appropriate statistical test and find the P-value, to at least three decimal places. P= (c) Based on the above calculations, we should ? the null hypothesis. Use a = 0.05. (d) Using the technology available to you.check the assumption(s) that need to be satisfied for your inferences in (b) and (c) to be valid. What statement below aligns with your findings? A. The differences in the price of a textbook at the campus bookstore and the price of the textbook at the online store are normally distributed. OB. The prices charged at the online bookstore are normally distributed. OC. The prices charged at the campus bookstore are normally distributed. OD. The differences in the price of a textbook at the campus bookstore and the price of the textbook at the online store are not normally distributed. O E. The prices charged at the campus bookstore are not normally distributed. OF. The prices charged at the online bookstore are not normally distributed. Preview Me Answere Submit Answers

Campus	Online
153.83	148.66
212.21	214.58
191.65	191.24
142.49	141.73
154.71	152.62
223.36	224.79
93.93	92.87
112.21	106.41
182.58	185.15
179.55	177.33
187.51	185.17
168.75	167.08

Answer 1

SAMPLE 1	SAMPLE 2	difference , Di =sample1-sample2	(Di - Dbar)²
153.83	148.66	5.17	15.269
212.21	214.58	-2.37	13.195
191.65	191.24	0.41	0.727
142.49	141.73	0.76	0.253
154.71	152.62	2.09	0.685
223.36	224.79	-1.43	7.250
93.93	92.87	1.06	0.041
112.21	106.41	5.8	20.589
182.58	185.15	-2.57	14.688
179.55	177.33	2.22	0.917
187.51	185.17	2.340	1.161
168.75	167.08	1.670	0.166

mean of difference ,    D̅ =ΣDi / n =   1.2625
std dev of difference , Sd =    √ [ (Di-Dbar)²/(n-1) =    2.6101

============

a) option e)

Ho :   µd=   0
Ha :   µd >   0

b)

std error , SE = Sd / √n =    2.6101   / √   12   =   0.7535      
                          
t-statistic = (D̅ - µd)/SE = (   1.2625   -   0   ) /    0.7535   =   1.6756
                          
Degree of freedom, DF=   n - 1 =    11                  

                          
p-value =        0.0610   [excel function: =t.dist.rt(t-stat,df) ]               

c)

Decision:   p-value>α , Do not reject null hypothesis

answer: not reject

d) option A)