Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $171.66 and a sample of 23 automobiles 2 years old showed a sample standard deviation for annual repair costs of $118.73. Let 4 year old automobiles be represented by population 1. The data is located in the Microsoft Excel Online file below. 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 1. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles. Ho: 0²1 Ha: ²1 ☺ 0²₂ 2. Conduct the hypothesis test at a 0.01 level of significance. Calculate the value of the test statistic (2 decimals). Calculate the critical value (2 decimals). Calculate the p-value (4 decimals).

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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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File
R18
23456
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1 Car Age and Repair Cost ($)
4 years 2 years
778
635
839
431
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401
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713
775
573
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469
1013
155
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874
548
902
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336
598
733
391
654
336
507 370
823
455
708
356
808
365
898
569
790
801
612
7
8
9
10
11
12
13
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Draw Page Layout
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Transcribed Image Text:File R18 23456 Home ✓ fx A B с 1 Car Age and Repair Cost ($) 4 years 2 years 778 635 839 431 778 454 791 404 896 401 791 713 775 573 943 469 1013 155 940 420 1060 399 405 524 955 396 874 548 902 397 336 598 733 391 654 336 507 370 823 455 708 356 808 365 898 569 790 801 612 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Insert Arial Draw Page Layout ✓10 D V E B Formulas F G Data H Review 三、 I View v ab J Help K General L
Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the
variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs
of $171.66 and a sample of 23 automobiles 2 years old showed a sample standard deviation for annual repair costs of $118.73. Let 4 year old automobiles be represented by
population 1. The data is located in the Microsoft Excel Online file below.
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
1. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles.
0²
H
0:0²
1
H ₂: 0²1
2. Conduct the hypothesis test at a 0.01 level of significance.
Calculate the value of the test statistic (2 decimals).
↑
2
Calculate the p-value (4 decimals).
2
Calculate the critical value (2 decimals).
Transcribed Image Text:Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $171.66 and a sample of 23 automobiles 2 years old showed a sample standard deviation for annual repair costs of $118.73. Let 4 year old automobiles be represented by population 1. The data is located in the Microsoft Excel Online file below. 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 1. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles. 0² H 0:0² 1 H ₂: 0²1 2. Conduct the hypothesis test at a 0.01 level of significance. Calculate the value of the test statistic (2 decimals). ↑ 2 Calculate the p-value (4 decimals). 2 Calculate the critical value (2 decimals).
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