Question

(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 by more than 50 cents. The professor randomly chooses required texts for 12 business school courses. Use a = 0.05. The data is given in the table below. Book Campus Store Online Store А 152.46 152.38 99.93 100.49 140.76 142.67 97.58 99.34 144.02 145.83 163.28 161.52 58.84 60.49 193.12 191.91 157.86 150.99 235.03 237.28 150.54 148.86 198.71 199.93 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 - XB. Choose the correct statistical hypotheses A. H : jp = 0.5, HAD +0.5 B. Ho :D > 0.5, HAD < 0.5 . C. H : Up = 0.5 HA: HD > 0.5 D. H : campus = online HA : Dicampur > Honline E. Ho : Jp = 0.5 HA: lip > 0.5 F. H : HCampus = Monline HA: ''campus > Honline G. Ho : campus = Honline HA: campus < Honline H. H : Acampus = P online HA:Mcampus 7 online I. Ho : up > 0.5, HA:Hp < 0.5 J. H, : campus = Ñ online HA: A campus Ponline K. H : campus = Honline HA: Mcampus + Honline L. Hopp = 0.5, HA: up < 0.5 (b) Carry out the appropriate statistical test and find the P-value, to at least three decimal places. P= 0.519 (c) Based on the above calculations, we should not reject the null hypothesis. (d) Using the technology available to you, create the most appropriate graph(s) to 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 prices charged at the online bookstore are normally distributed. B. 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. C. The prices charged at the online bookstore are not normally distributed D. 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. E. The prices charged at the campus bookstore are normally distributed F. The prices charged at the campus bookstore are not normally distributed.

Answer 1

(a) Option C

(b) 0.509343500062602

(c) not reject

(d) Option B

Campus	Online
149.3442	149.3075	mean
48.0412	47.7712	std. dev.
12	12	n
	22	df
	0.03667	difference (Campus - Online)
	2,295.02495	pooled variance
	47.90642	pooled std. dev.
	19.55771	standard error of difference
	0.5	hypothesized difference
	-0.0236905675430908	t
	.509343500062602	p-value (one-tailed, upper)