A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. Previous Year Current Year 345 303 526 463 420 474 216 206 285 263 405 432 635 585 710 650 605 545 517 547 570 496 610 580 (a) Formulate the hypotheses and test for a significant increase in the mean domestic airfare for business travel for the one-year period. o Ho: Hg = 0 Hai Ho #0 o Ho: Hg #0 Hgi Hg = 0 O Ho: Hgso H: Hg>0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Ha: Ho = 0
0 > Pr :ºH
lo Ho: HdzO
Hai Hg<0
Calculate the test statistic. (Use current year airfare - previous year airfare. Round your answer to three decimal places.)
2.170
Calculate the p-value. (Round your answer to four decimal places.)
p-value = 0.0264
Using a 0.05 level of significance, what is your conclusion?
O Reject Ho. We can conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period.
O Reject Ho. We cannot conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period.
O Do not reject H.. We cannot conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year
period.
O Do not reject Ho. We can conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period.
(b) What is the sample mean domestic airfare (in dollars) for business travel for each year?
current
$ 487
previous
$ 462
(c) What is the percentage change in mean airfare for the one-year period? (Round your answer to one decimal place.)
5.41
%
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Transcribed Image Text:Ha: Ho = 0 0 > Pr :ºH lo Ho: HdzO Hai Hg<0 Calculate the test statistic. (Use current year airfare - previous year airfare. Round your answer to three decimal places.) 2.170 Calculate the p-value. (Round your answer to four decimal places.) p-value = 0.0264 Using a 0.05 level of significance, what is your conclusion? O Reject Ho. We can conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period. O Reject Ho. We cannot conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period. O Do not reject H.. We cannot conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period. O Do not reject Ho. We can conclude that there has been a significant increase in the mean domestic airfare for business travel for the one-year period. (b) What is the sample mean domestic airfare (in dollars) for business travel for each year? current $ 487 previous $ 462 (c) What is the percentage change in mean airfare for the one-year period? (Round your answer to one decimal place.) 5.41 % Need Help? Read It Watch It
You may need to use the appropriate technology to answer this question.
A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years.
Current
Previous
Year
Year
345
303
526
463
420
474
216
206
285
263
405
432
635
585
710
650
605
545
517
547
570
496
610
580
(a) Formulate the hypotheses and test for a significant increase in the mean domestic airfare for business travel for the one-year period.
Ho: Hd = 0
Hai Hy#0
Ho: Hg #0
Ha: Hd = 0
Ha: Hd> 0
0 5 Pri :ºH
Transcribed Image Text:You may need to use the appropriate technology to answer this question. A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. Current Previous Year Year 345 303 526 463 420 474 216 206 285 263 405 432 635 585 710 650 605 545 517 547 570 496 610 580 (a) Formulate the hypotheses and test for a significant increase in the mean domestic airfare for business travel for the one-year period. Ho: Hd = 0 Hai Hy#0 Ho: Hg #0 Ha: Hd = 0 Ha: Hd> 0 0 5 Pri :ºH
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