? eBook he domestic airfare for business travel for the current year and the pre
ID: 3073778 • Letter: #
Question
? eBook he domestic airfare for business travel for the current year and the previous year was reported. Below ls a sample of 12 flights with their domestic airfares shown for both years. Current Year Previous Year Current Year 378 465 462 270 567 408 570 339 375 144 318 282 Previous Year 573 243 534 312 579 423 417 639 249 $91 a. Formulate the hypotheses and test for a significant increase in the mean domestic airfare for business travel for the one-year period H :p -Select your answer Hi: A-Select your answer-0 What is the pvalue? t-value Degrees of freedom (to 3 decimals) pvaue is Seiet your nse Using a 0S level of significance, what is your conclusion? we [.Select your answer·that there has been a significance increase in business travel airfares over the one-year pered b. What is the sample mean domestic airfare for business travel for each year? (to 2 decimals) Current Year Previous Year c. What is the percentage change in the airfare for the one year period? (to 2 decimals) % (to 2 decimals)Explanation / Answer
a)
H0 : mu1 -mu2 = 0
Ha : mu1 -mu2 > 0
previous current dbar
570 378 192
339 465 -126
375 462 -87
144 270 -126
318 567 -249
282 408 -126
573 204 369
243 417 -174
534 639 -105
312 333 -21
579 249 330
423 591 -168
dbar = (before) - (after) = -24.25
s(dbar) = 204.9462
SE = s(dbar)/sqrt(n)
= 204.9462/sqrt(12)
= 59.1629
Test Statisitcs,
t = dbar/SE
= -24.25/59.1629
= -0.4099
degrees of freedom = n-1 = 12- 1 = 11
p value = .345195.
we do not reject the null hypothesis that there has been a significant increase in business travel airfares over the 1 year period
b)
Current year = 415.25
Previous year = 391
c)
percentage change = (391 - 415.25)/12 = -2.02 = - 202.02
Percentage decrease
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