Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time. AirTran Airways and Southwest Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the Excel Online file below. Data are shown for both airlines. Construct a spreadsheet to answer the following questions. Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak Open spreadsheet a. Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. #₁ = population mean minutes late for delayed AirTran flights #2 = population mean minutes late for delayed Southwest flights Ho: 11-12 =e0 ✔0 H₁:1₁-1₂ b. What is the sample mean number of minutes late for delayed flights for each of these two airlines? (to 2 decimals) (to 2 decimals) Air Tran Southwest 51.68 61.05 c. Using a .05 level of significance, what is the p-value and what is your conclusion? p-value is 0.3097 (to 4 decimals) We cannot reject Ho.

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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Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time. AirTran Airways and
Southwest Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes
were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the Excel Online file below. Data are shown for both airlines.
Construct a spreadsheet to answer the following questions.
Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak
X
Open spreadsheet
a. Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines.
μ₁ = population mean minutes late for delayed AirTran flights
με =
population mean minutes late for delayed Southwest flights
Ho : |1 → |2
H₁ μ₁-2
:
b. What is the sample mean number of minutes late for delayed flights for each of these two airlines?
(to 2 decimals)
(to 2 decimals)
Air Tran
Southwest
#
We cannot
↑
51.68
61.05
c. Using a .05 level of significance, what is the p-value and what is your conclusion?
p-value is 0.3097
(to 4 decimals)
Check My Work
0
0
reject Ho.
Reset Problem
Transcribed Image Text:Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time. AirTran Airways and Southwest Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the Excel Online file below. Data are shown for both airlines. Construct a spreadsheet to answer the following questions. Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak X Open spreadsheet a. Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. μ₁ = population mean minutes late for delayed AirTran flights με = population mean minutes late for delayed Southwest flights Ho : |1 → |2 H₁ μ₁-2 : b. What is the sample mean number of minutes late for delayed flights for each of these two airlines? (to 2 decimals) (to 2 decimals) Air Tran Southwest # We cannot ↑ 51.68 61.05 c. Using a .05 level of significance, what is the p-value and what is your conclusion? p-value is 0.3097 (to 4 decimals) Check My Work 0 0 reject Ho. Reset Problem
Excel template - Saved
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Calculation Mode: Automatic Workbook Statistics
Part d
Significance Level (Alpha)
Search (Option + Q)
Data
Can we reject the null hypothesis?
(Enter "Can" or "Cannot")
Review
E
Your t-Test output should fit into this shaded area.
Parts b&c
After reading these instructions delete all text in this shaded area.
Use the XLMiner Analysis ToolPak to conduct your t-Test analysis.
After deleting all text in this shaded area, set the output range in
the ToolPak to the top left cell of this area (D2).
View
V
0.05
ab
Help
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General
Formula
H
#N/A
←.0
.00
.00
→.0
1
>
J
Editing
Σ ✓ P
K
Ov
L
Give Feedback to Microsoft
Comments
|
M
100% +
Transcribed Image Text:Excel template - Saved D2 123456789UHL3 File 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 22 A AirTran 111 119 73 21 50 42 7 Home 15 28 10 36 18 20 19 26 53 57 102 120 102 10 118 56 109 69 Insert Arial 59 Draw Page Layout Data + ✓10 v B Formulas D ↓ X✓ fx After reading these instructions delete all text in this shaded area. B с F Southwest 51 68 35 89 49 82 108 38 42 108 66 60 56 43 51 48 79 86 69 Calculation Mode: Automatic Workbook Statistics Part d Significance Level (Alpha) Search (Option + Q) Data Can we reject the null hypothesis? (Enter "Can" or "Cannot") Review E Your t-Test output should fit into this shaded area. Parts b&c After reading these instructions delete all text in this shaded area. Use the XLMiner Analysis ToolPak to conduct your t-Test analysis. After deleting all text in this shaded area, set the output range in the ToolPak to the top left cell of this area (D2). View V 0.05 ab Help G General Formula H #N/A ←.0 .00 .00 →.0 1 > J Editing Σ ✓ P K Ov L Give Feedback to Microsoft Comments | M 100% +
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